×
Edit Profile (opens in new tab)

Bender, Edward Anton

Co-Author Distance
Author ID: bender.edward-a Recent zbMATH articles by "Bender, Edward Anton"
Published as: Bender, Edward A.; Bender, E. A.; Bender, E.
External Links: MGP · Wikidata · dblp · GND · IdRef
Documents Indexed: 118 Publications since 1962, including 4 Books and 1 Additional arXiv Preprint
1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 37 Co-Authors with 94 Joint Publications
1,885 Co-Co-Authors
all top 5

Co-Authors

24 single-authored
34 Richmond, L. Bruce
27 Canfield, E. Rodney
14 Gao, Zhicheng
13 Wormald, Nicholas Charles
4 Herzberg, Norman Peter
4 McKay, Brendan D.
4 Robinson, Robert W.
4 Williamson, S. Gill
3 Butler, Jon T.
3 Goldman, Jay Robert
3 Wilf, Herbert S.
2 Cameron, Peter Jephson
2 Kochman, Fred
2 Odlyzko, Andrew M.
2 Rumsey, Howard jun.
1 Arney, James
1 Bell, Jason P.
1 Brawley, Joel Vincent jun.
1 Coley, Raymond A.
1 Compton, Kevin J.
1 Devitt, John S.
1 Helton, John William
1 Knuth, Donald Ervin
1 Lawler, Gregory Francis
1 Mansour, Toufik
1 Mashatan, Atefeh
1 McCuaig, William D.
1 Neuwirth, Lee Paul
1 Olde Daalhuis, Adri B.
1 Panario, Daniel
1 Patashnik, Oren
1 Pemantle, Robin
1 Praeger, Cheryl Elisabeth
1 Robbins, David P.
1 Tucker, Thomas W.
1 Viennot, Xavier Gérard
1 West, Douglas Brent
1 Zeilberger, Doron
all top 5

Serials

18 The Electronic Journal of Combinatorics
16 Journal of Combinatorial Theory. Series A
9 Journal of Combinatorial Theory. Series B
7 American Mathematical Monthly
7 Discrete Mathematics
4 Linear and Multilinear Algebra
4 Proceedings of the American Mathematical Society
4 Random Structures & Algorithms
3 Journal of Graph Theory
3 Combinatorics, Probability and Computing
2 Canadian Journal of Mathematics
2 Canadian Mathematical Bulletin
2 IEEE Transactions on Computers
2 Journal of the Association for Computing Machinery
2 Pacific Journal of Mathematics
2 Journal of Algorithms
2 European Journal of Combinatorics
2 Journal of the Australian Mathematical Society. Series A
2 Linear Algebra and its Applications
2 SIAM Review
2 Bulletin of the American Mathematical Society
1 Acta Informatica
1 The Annals of Probability
1 Ars Combinatoria
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of the London Mathematical Society. Second Series
1 Combinatorica
1 SIAM Journal on Discrete Mathematics
1 The Australasian Journal of Combinatorics
1 Bulletin of the Institute of Combinatorics and its Applications
1 Séminaire Lotharingien de Combinatoire
1 Enumerative Combinatorics and Applications
all top 5

Fields

85 Combinatorics (05-XX)
15 Probability theory and stochastic processes (60-XX)
10 Number theory (11-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Computer science (68-XX)
5 Convex and discrete geometry (52-XX)
4 Information and communication theory, circuits (94-XX)
3 Approximations and expansions (41-XX)
2 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 Ordinary differential equations (34-XX)
2 Manifolds and cell complexes (57-XX)
2 Biology and other natural sciences (92-XX)
2 Systems theory; control (93-XX)
1 History and biography (01-XX)
1 Group theory and generalizations (20-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Operations research, mathematical programming (90-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

101 Publications have been cited 1,630 times in 1,258 Documents Cited by ▼ Year ▼
The asymptotic number of labeled graphs with given degree sequences. Zbl 0402.05042
Bender, Edward A.; Canfield, E. Rodney
226
1978
Asymptotic methods in enumeration. Zbl 0294.05002
Bender, Edward A.
196
1974
Central and local limit theorems applied to asymptotic enumeration. Zbl 0242.05006
Bender, Edward A.
159
1973
Enumeration of plane partitions. Zbl 0246.05010
Bender, Edward A.; Knuth, Donald E.
80
1972
The asymptotic number of rooted maps on a surface. Zbl 0606.05031
Bender, Edward A.; Canfield, E. Rodney
75
1986
Enumerative uses of generating functions. Zbl 0217.01803
Bender, E. A.; Goldman, J. R.
43
1971
Central and local limit theorems applied to asymptotic enumeration. II: Multivariate generating functions. Zbl 0511.05003
Bender, Edward A.; Richmond, L. Bruce
39
1983
On the applications of Möbius inversion in combinatorial analysis. Zbl 0316.05001
Bender, E. A.; Goldman, J. R.
35
1975
An asymptotic expansion for the coefficients of some formal power series. Zbl 0297.05013
Bender, Edward A.
32
1975
The number of rooted maps on an orientable surface. Zbl 0751.05052
Bender, Edward A.; Canfield, E. Rodney
32
1991
The enumeration of maps on the torus and the projective plane. Zbl 0617.05036
Bender, E. A.; Canfield, E. R.; Robinson, R. W.
32
1988
The asymptotic number of labeled connected graphs with a given number of vertices and edges. Zbl 0745.05022
Bender, Edward A.; Canfield, E. Rodney; McKay, Brendan D.
31
1990
The number of labeled 2-connected planar graphs. Zbl 1021.05052
Bender, Edward A.; Gao, Zhicheng; Wormald, Nicholas C.
29
2002
Almost all chordal graphs split. Zbl 0571.05026
Bender, E. A.; Richmond, L. B.; Wormald, N. C.
28
1985
The asymptotic number of non-negative integer matrices with given row and column sums. Zbl 0293.05009
Bender, Edward A.
27
1974
The asymptotic number of rooted maps on a surface. II: Enumeration by vertices and faces. Zbl 0777.05065
Bender, Edward A.; Canfield, E. Rodney; Richmond, L. Bruce
25
1993
A survey of the asymptotic behaviour of maps. Zbl 0563.05033
Bender, Edward A.; Richmond, L. Bruce
24
1986
The number of degree-restricted rooted maps on the sphere. Zbl 0794.05048
Bender, Edward A.; Canfield, E. Rodney
19
1994
Random mappings with constraints on coalescence and number of origins. Zbl 0514.05033
Arney, James; Bender, Edward A.
18
1982
Characteristic polynomials of symmetric matrices. Zbl 0157.08601
Bender, Edward A.
17
1968
Convex n-ominoes. Zbl 0284.05009
Bender, Edward A.
17
1974
A theoretical analysis of backtracking in the graph coloring problem. Zbl 0601.68039
Bender, Edward A.; Wilf, Herbert S.
16
1985
Log-concavity and related properties of the cycle index polynomials. Zbl 0853.05013
Bender, Edward A.; Canfield, E. Rodney
16
1996
The asymptotic number of rooted nonseparable maps on a surface. Zbl 0657.05037
Bender, Edward A.; Wormald, Nicholas C.
15
1988
The map asymptotics constant \(t_{g}\). Zbl 1159.05026
Bender, Edward A.; Gao, Zhicheng; Richmond, L. Bruce
14
2008
The asymptotic number of acyclic digraphs. I. Zbl 0601.05025
Bender, E. A.; Richmond, L. B.; Robinson, R. W.; Wormald, N. C.
14
1986
Submaps of maps. I: General 0-1 laws. Zbl 0810.05034
Bender, Edward A.; Gao, Zhi-Cheng; Richmond, L. Bruce
14
1992
An asymptotic expansion for the coefficients of some power series. II: Lagrange inversion. Zbl 0553.05009
Bender, Edward A.; Richmond, L. Bruce
13
1984
The number of loopless planar maps. Zbl 0563.05032
Bender, Edward A.; Wormald, Nicholas C.
12
1985
Partitions of multisets. Zbl 0289.05014
Bender, Edward A.
11
1974
The distribution of subword counts is usually normal. Zbl 0776.68097
Bender, Edward A.; Kochman, Fred
11
1993
The asymptotic number of tree-rooted maps on a surface. Zbl 0644.05027
Bender, Edward A.; Canfield, E. Rodney; Robinson, Robert W.
11
1988
Classes of matrices over an integral domain. Zbl 0153.05303
Bender, Edward A.
10
1967
A multivariate Lagrange inversion formula for asymptotic calculations. Zbl 0901.05005
Bender, Edward A.; Richmond, L. Bruce
10
1998
The asymptotic number of acyclic digraphs. II. Zbl 0654.05035
Bender, Edward A.; Robinson, Robert W.
10
1988
Area-perimeter relations for two-dimensional lattices. Zbl 0192.28701
Bender, Edward A.
9
1962
A generalized q-binomial Vandermonde convolution. Zbl 0218.05005
Bender, E. A.
9
1971
The number of rooted convex polyhedra. Zbl 0649.05034
Bender, Edward A.; Wormald, Nicholas C.
9
1988
Face sizes of 3-polytopes. Zbl 0666.05005
Bender, Edward A.; Canfield, E. Rodney
9
1989
Almost all rooted maps have large representativity. Zbl 0809.05060
Bender, Edward A.; Gao, Zhicheng; Richmond, L. Bruce
8
1994
Mathematical methods in artificial intelligence. Zbl 0896.68113
Bender, Edward A.
8
1996
The asymptotic number of irreducible partitions. Zbl 0569.05005
Bender, Edward A.; Odlyzko, Andrew M.; Richmond, L. Bruce
8
1985
The asymptotic enumeration of rooted convex polyhedra. Zbl 0527.05038
Bender, Edward A.; Richmond, L. Bruce
7
1984
Asymptotic enumeration of labelled graphs by genus. Zbl 1205.05013
Bender, Edward A.; Gao, Zhicheng
7
2011
The dimensions of symmetric matrices with a given minimum polynomial. Zbl 0186.05601
Bender, E. A.
7
1970
Asymptotics for the probability of connectedness and the distribution of number of components. Zbl 0948.05009
Bell, Jason P.; Bender, Edward A.; Cameron, Peter J.; Richmond, L. Bruce
7
2000
Asymptotic properties of rooted 3-connected maps on surfaces. Zbl 0913.05041
Bender, Edward A.; Gao, Zhicheng; Richmond, L. Bruce; Wormald, Nicholas C.
7
1996
The asymptotic number of labeled graphs with \(n\) vertices, \(q\) edges, and no isolated vertices. Zbl 0883.05071
Bender, Edward A.; Canfield, E. Rodney; McKay, Brendan D.
7
1997
A lifting formula for the Hilbert symbol. Zbl 0243.12008
Bender, Edward A.
6
1973
Symmetric matrices, characteristic polynomials, and Hilbert symbols over local number fields. Zbl 0259.15008
Bender, Edward A.; Herzberg, Norman P.
6
1973
Characteristic polynomials of symmetric matrices. II: Local number fields. Zbl 0285.15009
Bender, Edward A.
6
1974
Coefficients of functional compositions often grow smoothly. Zbl 1158.05303
Bender, Edward A.; Canfield, E. Rodney; Richmond, L. Bruce
6
2008
Foundations of applied combinatorics. Zbl 0793.05001
Bender, Edward A.; Williamson, S. Gill
6
1991
Largest 4-connected components of 3-connected planar triangulations. Zbl 0839.05090
Bender, Edward A.; Richmond, L. Bruce; Wormald, Nicholas C.
6
1995
Locally restricted compositions. I. Restricted adjacent differences. Zbl 1088.05007
Bender, Edward A.; Canfield, E. Rodney
5
2005
On Buckhiester’s enumeration of \(n \times n\) matrices. Zbl 0284.05008
Bender, Edward A.
5
1974
Asymptotics of combinatorial structures with large smallest component. Zbl 1048.05007
Bender, Edward A.; Mashatan, Atefeh; Panario, Daniel; Richmond, L. Bruce
5
2004
Asymptotic properties of labeled connected graphs. Zbl 0779.05044
Bender, Edward A.; Canfield, E. Rodney; McKay, Brendan D.
5
1992
Multivariate asymptotics for products of large powers with applications to Lagrange inversion. Zbl 0927.41017
Bender, Edward A.; Richmond, L. Bruce
5
1999
Random trees in random graphs. Zbl 0645.05033
Bender, E. A.; Wormald, N. C.
5
1988
Locally restricted compositions. II: General restrictions and infinite matrices. Zbl 1186.05009
Bender, Edward A.; Canfield, E. Rodney
5
2009
Asymptotics of permutations with nearly periodic patterns of rises and falls. Zbl 1031.05015
Bender, Edward A.; Helton, William J.; Richmond, L. Bruce
4
2003
Some Diophantine equations related to the quadratic form \(ax^2+by^2\). Zbl 0451.10010
Bender, Edward A.; Herzberg, Norman P.
4
1979
Central and local limit theorems applied to asymptotic enumeration. III. Matrix recursions. Zbl 0524.05017
Bender, Edward A.; Richmond, L. Bruce; Williamson, S. G.
4
1983
0-1 laws for maps. Zbl 0940.60038
Bender, Edward A.; Compton, Kevin J.; Richmond, L. Bruce
4
1999
Submaps of maps. II: Cyclically \(k\)-connected planar cubic maps. Zbl 0810.05035
Bender, Edward A.; Gao, Zhi-Cheng; McCuaig, William D.; Richmond, L. Bruce
4
1992
An introduction to mathematical modeling. Reprint of the 1978 original ed. Zbl 1191.93007
Bender, Edward A.
4
2000
Admissible functions and asymptotics for labelled structures by number of components. Zbl 0904.05008
Bender, Edward A.; Richmond, L. Bruce
4
1996
The number of three-dimensional convex polyhedra. Zbl 0647.05031
Bender, Edward A.
4
1987
Partitions of multisets. II. Zbl 0553.05010
Bender, Edward A.; Devitt, John S.; Richmond, L. Bruce
4
1984
Irreducible compositions and the first return to the origin of a random walk. Zbl 1064.60014
Bender, Edward A.; Lawler, Gregory F.; Pemantle, Robin; Wilf, Herbert S.
3
2003
Errata: Asymptotic methods in enumeration. Zbl 0321.05007
Bender, Edward A.
3
1976
The exponents of strongly connected graphs. Zbl 0179.52702
Bender, Edward A.; Tucker, Thomas W.
3
1969
Characteristic polynomials of symmetric matrices. III: Some counterexamples. Zbl 0285.15010
Bender, Edward A.; Herzberg, Norman P.
3
1974
Locally restricted compositions. IV: Nearly free large parts and gap-freeness. Zbl 1296.05006
Bender, Edward A.; Canfield, E. Rodney; Gao, Zhicheng
3
2012
Submap density and asymmetry results for two parameter map families. Zbl 0867.05029
Bender, Edward A.; Canfield, E. Rodney; Gao, Zhicheng; Richmond, L. Bruce
3
1997
An approximate probabilistic model for structured Gaussian elimination. Zbl 0921.68043
Bender, Edward A.; Canfield, E. Rodney
3
1999
Asymptotic approximations for the number of fanout-free functions. Zbl 0385.94026
Bender, Edward A.; Butler, Jon T.
3
1978
Almost all convex polyhedra are asymmetric. Zbl 0563.52013
Bender, Edward A.; Wormald, Nicholas C.
3
1985
Pizza slicing, phi’s and the Riemann hypothesis. Zbl 0814.11045
Bender, Edward A.; Patashnik, Oren; Rumsey, Howard jun.
3
1994
Locally restricted compositions. III: Adjacent-part periodic inequalities. Zbl 1204.05013
Bender, Edward A.; Canfield, E. Rodney
2
2010
Similarity to symmetric matrices over fields which are not formally real. Zbl 0319.15006
Bender, Edward A.; Brawley, J. V.
2
1975
Correlated random walks. Zbl 0542.60067
Bender, Edward A.; Richmond, L. Bruce
2
1984
Enumeration of subspaces by dimension sequence. Zbl 0766.15002
Bender, Edward A.; Coley, Raymond; Robbins, David P.; Rumsey, Howard jun.
2
1992
A generalization of Canfield’s formula. Zbl 0601.05004
Bender, Edward A.; Richmond, L. Bruce
2
1986
Submaps of maps. III: \(k\)-connected nonplanar maps. Zbl 0810.05036
Bender, Edward A.; Richmond, L. Bruce
2
1992
Periodic sorting using minimum delay, recursively constructed merging networks. Zbl 0884.68041
Bender, Edward A.; Williamson, S. Gill
2
1998
3-edge-connected embeddings have few singular edges. Zbl 0705.05026
Bender, Edward A.; Richmond, L. Bruce
2
1990
Asymptotics of some convolutional recurrences. Zbl 1193.05018
Bender, Edward A.; Olde Daalhuis, Adri B.; Gao, Zhicheng; Richmond, L. Bruce; Wormald, Nicholas
2
2010
A lifting theorem for formal power series. Zbl 0282.13006
Bender, Edward A.
1
1974
Classes of matrices and quadratic fields. Zbl 0164.03202
Bender, Edward A.
1
1968
Intersections of randomly embedded sparse graphs are Poisson. Zbl 0934.05116
Bender, Edward A.; Canfield, E. Rodney
1
1999
Locally restricted sequential structures and runs of a subcomposition in integer compositions. Zbl 1409.05016
Bender, Edward A.; Gao, Zhicheng
1
2016
Part sizes of smooth supercritical compositional structures. Zbl 1298.05029
Bender, Edward A.; Gao, Zhicheng
1
2014
The number of fanout-free functions with various gates. Zbl 0425.94020
Bender, Edward A.
1
1980
An introduction to mathematical modeling. Zbl 0388.93008
Bender, Edward A.
1
1978
The asymptotic number of labelled weakly-connected digraphs with a given number of vertices and edges. Zbl 0771.05087
Bender, Edward A.; Canfield, E. Rodney; McKay, Brendan D.
1
1992
Enumeration of degree restricted maps on the sphere. Zbl 0790.05005
Bender, E. A.; Canfield, E. R.
1
1993
Enumeration of structured flowcharts. Zbl 0628.68009
Bender, Edward A.; Butler, Jon T.
1
1985
Some asymptotic bijections. Zbl 0554.05004
Bender, Edward A.; Zeilberger, Doron
1
1985
Locally restricted sequential structures and runs of a subcomposition in integer compositions. Zbl 1409.05016
Bender, Edward A.; Gao, Zhicheng
1
2016
Part sizes of smooth supercritical compositional structures. Zbl 1298.05029
Bender, Edward A.; Gao, Zhicheng
1
2014
Locally restricted compositions. IV: Nearly free large parts and gap-freeness. Zbl 1296.05006
Bender, Edward A.; Canfield, E. Rodney; Gao, Zhicheng
3
2012
Asymptotic enumeration of labelled graphs by genus. Zbl 1205.05013
Bender, Edward A.; Gao, Zhicheng
7
2011
Locally restricted compositions. III: Adjacent-part periodic inequalities. Zbl 1204.05013
Bender, Edward A.; Canfield, E. Rodney
2
2010
Asymptotics of some convolutional recurrences. Zbl 1193.05018
Bender, Edward A.; Olde Daalhuis, Adri B.; Gao, Zhicheng; Richmond, L. Bruce; Wormald, Nicholas
2
2010
Locally restricted compositions. II: General restrictions and infinite matrices. Zbl 1186.05009
Bender, Edward A.; Canfield, E. Rodney
5
2009
The map asymptotics constant \(t_{g}\). Zbl 1159.05026
Bender, Edward A.; Gao, Zhicheng; Richmond, L. Bruce
14
2008
Coefficients of functional compositions often grow smoothly. Zbl 1158.05303
Bender, Edward A.; Canfield, E. Rodney; Richmond, L. Bruce
6
2008
Locally restricted compositions. I. Restricted adjacent differences. Zbl 1088.05007
Bender, Edward A.; Canfield, E. Rodney
5
2005
Asymptotics of combinatorial structures with large smallest component. Zbl 1048.05007
Bender, Edward A.; Mashatan, Atefeh; Panario, Daniel; Richmond, L. Bruce
5
2004
Asymptotics of permutations with nearly periodic patterns of rises and falls. Zbl 1031.05015
Bender, Edward A.; Helton, William J.; Richmond, L. Bruce
4
2003
Irreducible compositions and the first return to the origin of a random walk. Zbl 1064.60014
Bender, Edward A.; Lawler, Gregory F.; Pemantle, Robin; Wilf, Herbert S.
3
2003
The number of labeled 2-connected planar graphs. Zbl 1021.05052
Bender, Edward A.; Gao, Zhicheng; Wormald, Nicholas C.
29
2002
Asymptotics for the probability of connectedness and the distribution of number of components. Zbl 0948.05009
Bell, Jason P.; Bender, Edward A.; Cameron, Peter J.; Richmond, L. Bruce
7
2000
An introduction to mathematical modeling. Reprint of the 1978 original ed. Zbl 1191.93007
Bender, Edward A.
4
2000
Multivariate asymptotics for products of large powers with applications to Lagrange inversion. Zbl 0927.41017
Bender, Edward A.; Richmond, L. Bruce
5
1999
0-1 laws for maps. Zbl 0940.60038
Bender, Edward A.; Compton, Kevin J.; Richmond, L. Bruce
4
1999
An approximate probabilistic model for structured Gaussian elimination. Zbl 0921.68043
Bender, Edward A.; Canfield, E. Rodney
3
1999
Intersections of randomly embedded sparse graphs are Poisson. Zbl 0934.05116
Bender, Edward A.; Canfield, E. Rodney
1
1999
A multivariate Lagrange inversion formula for asymptotic calculations. Zbl 0901.05005
Bender, Edward A.; Richmond, L. Bruce
10
1998
Periodic sorting using minimum delay, recursively constructed merging networks. Zbl 0884.68041
Bender, Edward A.; Williamson, S. Gill
2
1998
The asymptotic number of labeled graphs with \(n\) vertices, \(q\) edges, and no isolated vertices. Zbl 0883.05071
Bender, Edward A.; Canfield, E. Rodney; McKay, Brendan D.
7
1997
Submap density and asymmetry results for two parameter map families. Zbl 0867.05029
Bender, Edward A.; Canfield, E. Rodney; Gao, Zhicheng; Richmond, L. Bruce
3
1997
Log-concavity and related properties of the cycle index polynomials. Zbl 0853.05013
Bender, Edward A.; Canfield, E. Rodney
16
1996
Mathematical methods in artificial intelligence. Zbl 0896.68113
Bender, Edward A.
8
1996
Asymptotic properties of rooted 3-connected maps on surfaces. Zbl 0913.05041
Bender, Edward A.; Gao, Zhicheng; Richmond, L. Bruce; Wormald, Nicholas C.
7
1996
Admissible functions and asymptotics for labelled structures by number of components. Zbl 0904.05008
Bender, Edward A.; Richmond, L. Bruce
4
1996
Largest 4-connected components of 3-connected planar triangulations. Zbl 0839.05090
Bender, Edward A.; Richmond, L. Bruce; Wormald, Nicholas C.
6
1995
The number of degree-restricted rooted maps on the sphere. Zbl 0794.05048
Bender, Edward A.; Canfield, E. Rodney
19
1994
Almost all rooted maps have large representativity. Zbl 0809.05060
Bender, Edward A.; Gao, Zhicheng; Richmond, L. Bruce
8
1994
Pizza slicing, phi’s and the Riemann hypothesis. Zbl 0814.11045
Bender, Edward A.; Patashnik, Oren; Rumsey, Howard jun.
3
1994
The asymptotic number of rooted maps on a surface. II: Enumeration by vertices and faces. Zbl 0777.05065
Bender, Edward A.; Canfield, E. Rodney; Richmond, L. Bruce
25
1993
The distribution of subword counts is usually normal. Zbl 0776.68097
Bender, Edward A.; Kochman, Fred
11
1993
Enumeration of degree restricted maps on the sphere. Zbl 0790.05005
Bender, E. A.; Canfield, E. R.
1
1993
Submaps of maps. I: General 0-1 laws. Zbl 0810.05034
Bender, Edward A.; Gao, Zhi-Cheng; Richmond, L. Bruce
14
1992
Asymptotic properties of labeled connected graphs. Zbl 0779.05044
Bender, Edward A.; Canfield, E. Rodney; McKay, Brendan D.
5
1992
Submaps of maps. II: Cyclically \(k\)-connected planar cubic maps. Zbl 0810.05035
Bender, Edward A.; Gao, Zhi-Cheng; McCuaig, William D.; Richmond, L. Bruce
4
1992
Enumeration of subspaces by dimension sequence. Zbl 0766.15002
Bender, Edward A.; Coley, Raymond; Robbins, David P.; Rumsey, Howard jun.
2
1992
Submaps of maps. III: \(k\)-connected nonplanar maps. Zbl 0810.05036
Bender, Edward A.; Richmond, L. Bruce
2
1992
The asymptotic number of labelled weakly-connected digraphs with a given number of vertices and edges. Zbl 0771.05087
Bender, Edward A.; Canfield, E. Rodney; McKay, Brendan D.
1
1992
The number of rooted maps on an orientable surface. Zbl 0751.05052
Bender, Edward A.; Canfield, E. Rodney
32
1991
Foundations of applied combinatorics. Zbl 0793.05001
Bender, Edward A.; Williamson, S. Gill
6
1991
The asymptotic number of labeled connected graphs with a given number of vertices and edges. Zbl 0745.05022
Bender, Edward A.; Canfield, E. Rodney; McKay, Brendan D.
31
1990
3-edge-connected embeddings have few singular edges. Zbl 0705.05026
Bender, Edward A.; Richmond, L. Bruce
2
1990
Face sizes of 3-polytopes. Zbl 0666.05005
Bender, Edward A.; Canfield, E. Rodney
9
1989
On the size of PLA’s required to realize binary and multiple-valued functions. Zbl 0709.94616
Bender, Edward A.; Butler, Jon T.
1
1989
The enumeration of maps on the torus and the projective plane. Zbl 0617.05036
Bender, E. A.; Canfield, E. R.; Robinson, R. W.
32
1988
The asymptotic number of rooted nonseparable maps on a surface. Zbl 0657.05037
Bender, Edward A.; Wormald, Nicholas C.
15
1988
The asymptotic number of tree-rooted maps on a surface. Zbl 0644.05027
Bender, Edward A.; Canfield, E. Rodney; Robinson, Robert W.
11
1988
The asymptotic number of acyclic digraphs. II. Zbl 0654.05035
Bender, Edward A.; Robinson, Robert W.
10
1988
The number of rooted convex polyhedra. Zbl 0649.05034
Bender, Edward A.; Wormald, Nicholas C.
9
1988
Random trees in random graphs. Zbl 0645.05033
Bender, E. A.; Wormald, N. C.
5
1988
The number of three-dimensional convex polyhedra. Zbl 0647.05031
Bender, Edward A.
4
1987
The asymptotic number of rooted maps on a surface. Zbl 0606.05031
Bender, Edward A.; Canfield, E. Rodney
75
1986
A survey of the asymptotic behaviour of maps. Zbl 0563.05033
Bender, Edward A.; Richmond, L. Bruce
24
1986
The asymptotic number of acyclic digraphs. I. Zbl 0601.05025
Bender, E. A.; Richmond, L. B.; Robinson, R. W.; Wormald, N. C.
14
1986
A generalization of Canfield’s formula. Zbl 0601.05004
Bender, Edward A.; Richmond, L. Bruce
2
1986
Almost all chordal graphs split. Zbl 0571.05026
Bender, E. A.; Richmond, L. B.; Wormald, N. C.
28
1985
A theoretical analysis of backtracking in the graph coloring problem. Zbl 0601.68039
Bender, Edward A.; Wilf, Herbert S.
16
1985
The number of loopless planar maps. Zbl 0563.05032
Bender, Edward A.; Wormald, Nicholas C.
12
1985
The asymptotic number of irreducible partitions. Zbl 0569.05005
Bender, Edward A.; Odlyzko, Andrew M.; Richmond, L. Bruce
8
1985
Almost all convex polyhedra are asymmetric. Zbl 0563.52013
Bender, Edward A.; Wormald, Nicholas C.
3
1985
Enumeration of structured flowcharts. Zbl 0628.68009
Bender, Edward A.; Butler, Jon T.
1
1985
Some asymptotic bijections. Zbl 0554.05004
Bender, Edward A.; Zeilberger, Doron
1
1985
An asymptotic expansion for the coefficients of some power series. II: Lagrange inversion. Zbl 0553.05009
Bender, Edward A.; Richmond, L. Bruce
13
1984
The asymptotic enumeration of rooted convex polyhedra. Zbl 0527.05038
Bender, Edward A.; Richmond, L. Bruce
7
1984
Partitions of multisets. II. Zbl 0553.05010
Bender, Edward A.; Devitt, John S.; Richmond, L. Bruce
4
1984
Correlated random walks. Zbl 0542.60067
Bender, Edward A.; Richmond, L. Bruce
2
1984
Central and local limit theorems applied to asymptotic enumeration. II: Multivariate generating functions. Zbl 0511.05003
Bender, Edward A.; Richmond, L. Bruce
39
1983
Central and local limit theorems applied to asymptotic enumeration. III. Matrix recursions. Zbl 0524.05017
Bender, Edward A.; Richmond, L. Bruce; Williamson, S. G.
4
1983
Random mappings with constraints on coalescence and number of origins. Zbl 0514.05033
Arney, James; Bender, Edward A.
18
1982
The number of fanout-free functions with various gates. Zbl 0425.94020
Bender, Edward A.
1
1980
Some Diophantine equations related to the quadratic form \(ax^2+by^2\). Zbl 0451.10010
Bender, Edward A.; Herzberg, Norman P.
4
1979
The asymptotic number of labeled graphs with given degree sequences. Zbl 0402.05042
Bender, Edward A.; Canfield, E. Rodney
226
1978
Asymptotic approximations for the number of fanout-free functions. Zbl 0385.94026
Bender, Edward A.; Butler, Jon T.
3
1978
An introduction to mathematical modeling. Zbl 0388.93008
Bender, Edward A.
1
1978
Errata: Asymptotic methods in enumeration. Zbl 0321.05007
Bender, Edward A.
3
1976
On the applications of Möbius inversion in combinatorial analysis. Zbl 0316.05001
Bender, E. A.; Goldman, J. R.
35
1975
An asymptotic expansion for the coefficients of some formal power series. Zbl 0297.05013
Bender, Edward A.
32
1975
Similarity to symmetric matrices over fields which are not formally real. Zbl 0319.15006
Bender, Edward A.; Brawley, J. V.
2
1975
Asymptotic methods in enumeration. Zbl 0294.05002
Bender, Edward A.
196
1974
The asymptotic number of non-negative integer matrices with given row and column sums. Zbl 0293.05009
Bender, Edward A.
27
1974
Convex n-ominoes. Zbl 0284.05009
Bender, Edward A.
17
1974
Partitions of multisets. Zbl 0289.05014
Bender, Edward A.
11
1974
Characteristic polynomials of symmetric matrices. II: Local number fields. Zbl 0285.15009
Bender, Edward A.
6
1974
On Buckhiester’s enumeration of \(n \times n\) matrices. Zbl 0284.05008
Bender, Edward A.
5
1974
Characteristic polynomials of symmetric matrices. III: Some counterexamples. Zbl 0285.15010
Bender, Edward A.; Herzberg, Norman P.
3
1974
A lifting theorem for formal power series. Zbl 0282.13006
Bender, Edward A.
1
1974
Central and local limit theorems applied to asymptotic enumeration. Zbl 0242.05006
Bender, Edward A.
159
1973
A lifting formula for the Hilbert symbol. Zbl 0243.12008
Bender, Edward A.
6
1973
Symmetric matrices, characteristic polynomials, and Hilbert symbols over local number fields. Zbl 0259.15008
Bender, Edward A.; Herzberg, Norman P.
6
1973
Enumeration of plane partitions. Zbl 0246.05010
Bender, Edward A.; Knuth, Donald E.
80
1972
Enumerative uses of generating functions. Zbl 0217.01803
Bender, E. A.; Goldman, J. R.
43
1971
A generalized q-binomial Vandermonde convolution. Zbl 0218.05005
Bender, E. A.
9
1971
The dimensions of symmetric matrices with a given minimum polynomial. Zbl 0186.05601
Bender, E. A.
7
1970
The exponents of strongly connected graphs. Zbl 0179.52702
Bender, Edward A.; Tucker, Thomas W.
3
1969
Characteristic polynomials of symmetric matrices. Zbl 0157.08601
Bender, Edward A.
17
1968
Classes of matrices and quadratic fields. Zbl 0164.03202
Bender, Edward A.
1
1968
Classes of matrices over an integral domain. Zbl 0153.05303
Bender, Edward A.
10
1967
...and 1 more Documents
all cited Publications top 5 cited Publications
all top 5

Cited by 1,520 Authors

33 Bender, Edward Anton
30 Wormald, Nicholas Charles
22 Gao, Zhicheng
22 Noy, Marc
20 Richmond, L. Bruce
19 Canfield, E. Rodney
17 Chapuy, Guillaume
17 Liu, Yanpei
16 Drmota, Michael
16 Pittel, Boris G.
14 Flajolet, Philippe
13 Frieze, Alan Michael
13 Janson, Svante
13 Kang, Mihyun
12 Bousquet-Mélou, Mireille
11 Fusy, Éric
11 McKay, Brendan D.
11 Yakymiv, Arsen Lubomirovich
10 Giménez, Omer
9 Bhamidi, Shankar
9 Bollobás, Béla
9 Li, Zhaoxiang
9 Louf, Baptiste
9 Wagner, Stephan G.
8 de Panafieu, Elie
8 Gessel, Ira Martin
8 Hwang, Hsien-Kuei
8 Ravelomanana, Vlady
8 Ren, Han
8 Robinson, Robert W.
8 Rué, Juanjo
8 Stanley, Richard Peter
8 van der Hofstad, Remco W.
8 Wang, Yi
7 Arquès, Didier G.
7 Gao, Pu
7 Goulden, Ian P.
7 Jackson, David M.
7 Kyriakoussis, Andreas George
7 Leroux, Pierre
7 Liskovets, Valery A.
7 Odlyzko, Andrew M.
7 Panagiotou, Konstantinos D.
7 Vamvakari, Malvina G.
6 Bernardi, Olivier
6 Compton, Kevin J.
6 Cooper, Colin
6 Elizalde, Sergi
6 Gittenberger, Bernhard
6 Kemp, Rainer
6 Labelle, Gilbert
6 McDiarmid, Colin J. H.
6 Molloy, Michael S. O.
6 Zelenyuk, Yuliya
5 Barvinok, Alexander I.
5 Bodini, Olivier
5 Dovgal, Sergey
5 Fountoulakis, Nikolaos
5 Gardy, Danièle
5 Greenhill, Catherine S.
5 Krivelevich, Michael
5 Liu, Lily Li
5 Melczer, Stephen
5 Requilé, Clément
5 Sen, Sanchayan
5 Sprugnoli, Renzo
5 Sprussel, Philipp
5 Walsh, Timothy R. S.
5 Wilf, Herbert S.
5 Zelenyuk, Yevhen G.
5 Zhao, Yiqiang Q.
4 Addario-Berry, Louigi
4 Baryshnikov, Yuliy M.
4 Blieberger, Johann
4 Chen, Xi
4 Dołęga, Maciej
4 Fang, Wenjie
4 Giorgetti, Alain
4 Goldwurm, Massimiliano
4 Hansen, Jennie C.
4 Heuberger, Clemens
4 Hoppen, Carlos
4 Hou, Xiang-Dong
4 Kim, Gene B.
4 Kim, Jeong Han
4 Lee, Sangchul
4 Long, Shude
4 Louchard, Guy
4 Łuczak, Tomasz
4 Merca, Mircea
4 Mitsche, Dieter
4 Müller, Thomas W.
4 Mutafchiev, Lyuben R.
4 Palmer, Edgar M.
4 Panario, Daniel
4 Pemantle, Robin
4 Robbins, David P.
4 Salvy, Bruno
4 Soria, Michèle
4 Striker, Jessica
...and 1,420 more Authors
all top 5

Cited in 274 Serials

95 Journal of Combinatorial Theory. Series A
86 Discrete Mathematics
67 Random Structures & Algorithms
51 European Journal of Combinatorics
40 Journal of Combinatorial Theory. Series B
40 The Electronic Journal of Combinatorics
37 Theoretical Computer Science
32 Combinatorics, Probability and Computing
29 Discrete Applied Mathematics
24 Advances in Applied Mathematics
22 Advances in Mathematics
13 Linear Algebra and its Applications
12 Journal of Statistical Physics
12 Graphs and Combinatorics
12 The Annals of Applied Probability
11 Information Processing Letters
11 Probability Theory and Related Fields
11 Annals of Combinatorics
10 Mathematical Notes
10 Transactions of the American Mathematical Society
10 Séminaire Lotharingien de Combinatoire
9 Journal of Mathematical Analysis and Applications
9 Journal of Mathematical Biology
9 The Annals of Probability
9 Journal of Number Theory
9 Studies in Applied Mathematics
8 Journal of Algebra
8 Journal of Computer and System Sciences
8 Monatshefte für Mathematik
8 SIAM Journal on Discrete Mathematics
8 Discrete Mathematics and Applications
8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
8 The Ramanujan Journal
7 Advances in Applied Probability
7 Linear and Multilinear Algebra
7 Nuclear Physics. B
7 Combinatorica
6 Communications in Mathematical Physics
6 Mathematical Biosciences
6 Journal of Computational and Applied Mathematics
6 Journal of Soviet Mathematics
6 Journal of Statistical Planning and Inference
6 Acta Mathematicae Applicatae Sinica. English Series
6 The Australasian Journal of Combinatorics
6 Journal of Applied Mathematics and Computing
6 Combinatorial Theory
5 Bulletin of the Australian Mathematical Society
5 Israel Journal of Mathematics
5 Journal of Mathematical Physics
5 Physics Reports
5 Journal of Applied Probability
5 Journal of Graph Theory
5 Electronic Journal of Probability
5 Journal of Integer Sequences
5 Journal of Physics A: Mathematical and Theoretical
4 Physica A
4 Mathematics of Computation
4 Archiv der Mathematik
4 Algorithmica
4 International Journal of Approximate Reasoning
4 Aequationes Mathematicae
4 Communications in Statistics. Theory and Methods
4 Journal of Algebraic Combinatorics
4 Annals of Mathematics and Artificial Intelligence
4 Bernoulli
4 Acta Mathematica Sinica. English Series
4 Probability in the Engineering and Informational Sciences
4 Journal of High Energy Physics
3 Communications in Algebra
3 Lithuanian Mathematical Journal
3 Applied Mathematics and Computation
3 Glasgow Mathematical Journal
3 The Journal of Symbolic Logic
3 Manuscripta Mathematica
3 Mathematische Zeitschrift
3 Proceedings of the London Mathematical Society. Third Series
3 Mathematical Social Sciences
3 Statistics & Probability Letters
3 Physica D
3 Journal of Symbolic Computation
3 Journal of Theoretical Probability
3 Queueing Systems
3 Finite Fields and their Applications
3 Chaos
3 Methodology and Computing in Applied Probability
3 Journal of Algebra and its Applications
3 Journal of Statistical Mechanics: Theory and Experiment
3 ALEA. Latin American Journal of Probability and Mathematical Statistics
3 Ars Mathematica Contemporanea
2 Acta Informatica
2 Communications on Pure and Applied Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Physics Letters. A
2 Psychometrika
2 Theory of Probability and its Applications
2 Acta Arithmetica
2 BIT
2 Information Sciences
2 International Economic Review
...and 174 more Serials
all top 5

Cited in 51 Fields

911 Combinatorics (05-XX)
290 Probability theory and stochastic processes (60-XX)
148 Computer science (68-XX)
142 Number theory (11-XX)
50 Linear and multilinear algebra; matrix theory (15-XX)
48 Statistics (62-XX)
46 Group theory and generalizations (20-XX)
45 Biology and other natural sciences (92-XX)
42 Statistical mechanics, structure of matter (82-XX)
35 Operations research, mathematical programming (90-XX)
33 Order, lattices, ordered algebraic structures (06-XX)
27 Convex and discrete geometry (52-XX)
26 Special functions (33-XX)
26 Numerical analysis (65-XX)
25 Manifolds and cell complexes (57-XX)
23 Algebraic geometry (14-XX)
23 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Quantum theory (81-XX)
20 Dynamical systems and ergodic theory (37-XX)
20 Approximations and expansions (41-XX)
17 Mathematical logic and foundations (03-XX)
17 Information and communication theory, circuits (94-XX)
15 Functions of a complex variable (30-XX)
11 Field theory and polynomials (12-XX)
11 Associative rings and algebras (16-XX)
11 Ordinary differential equations (34-XX)
10 Nonassociative rings and algebras (17-XX)
9 Commutative algebra (13-XX)
9 Real functions (26-XX)
8 Difference and functional equations (39-XX)
7 Relativity and gravitational theory (83-XX)
4 Category theory; homological algebra (18-XX)
4 Topological groups, Lie groups (22-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Partial differential equations (35-XX)
4 Operator theory (47-XX)
3 General and overarching topics; collections (00-XX)
3 History and biography (01-XX)
3 Geometry (51-XX)
3 Algebraic topology (55-XX)
3 Systems theory; control (93-XX)
2 Functional analysis (46-XX)
2 General topology (54-XX)
1 General algebraic systems (08-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.