Branko Grünbaum - Author Profile

Edit Profile

Grünbaum, Branko (b. 1929 d. 2018)

Author ID:	grunbaum.branko
Published as:	Grünbaum, Branko; Grünbaum, B.
Homepage:	https://sites.math.washington.edu/~grunbaum/
External Links:	MGP · Wikidata · dblp · GND · IdRef

Documents Indexed:	276 Publications since 1955, including 10 Books
	1 Contribution as Editor · 13 Further Contributions
Biographic References:	19 Publications
Co-Authors:	55 Co-Authors with 124 Joint Publications
	1,963 Co-Co-Authors

all top 5

Co-Authors

159	single-authored
66	Shephard, Geoffrey Colin
8	Soifer, Alexander
7	Danzer, Ludwig
7	Klee, Victor LaRue
6	Erdős, Pál
6	Rousseau, Cecil C.
5	Johnson, Peter D. jun.
4	Asplund, Edgar
4	Coxeter, Harold Scott MacDonald
4	Motzkin, Theodore Samuel
4	Pisanski, Tomaž
3	Berman, Leah Wrenn
2	Artés, Joan Carles
2	Barnette, David W.
2	Boben, Marko
2	Bokowski, Jürgen G.
2	Engel, Philip L.
2	Kaiser, Tomáš
2	Kelly, Leroy M.
2	Kr��l’, Daniel
2	Lenchner, Jonathan
2	Llibre, Jaume
2	Mani-Levitska, Peter
2	Rigby, John F.
2	Rosenfeld, Moshe
2	Zaks, Joseph
1	Aitchison, Peter W.
1	Alfsen, Erik M.
1	Ammann, Robert
1	Ashley, Jonathan J.
1	Babai, László
1	Bašić, Nino
1	Beauzamy, Bernard
1	Bermond, Jean-Claude
1	Bessaga, Czeslaw
1	Boltyanskij, Vladimir Grigor’evich
1	Bredon, Glen E.
1	Brouwer, Andries Evert
1	Burr, Stefan A.
1	Burton, Geoffrey R.
1	Ceder, Jack Gary
1	Choquet, Gustave
1	Davis, Chandler
1	Davis, William Jay
1	Day, Mahlon Marsh
1	Daykin, D. K.
1	de Rijk, Hans
1	Deza, Michel Marie
1	Dorwart, Harold Laird
1	Dress, Andreas W. M.
1	Durst, Lincoln K.
1	Eggleston, H. G.
1	Ellers, Erich Werner
1	Emmer, Michele
1	Engel, Peter
1	Escher, G. A.
1	Ewald, Günter
1	Exoo, Geoffrey
1	Fernandez, James W.
1	Fiedler, Miroslav
1	Figiel, Tadeusz
1	Firey, William J.
1	Fisher, J. Chris
1	Fourneau, Rene
1	Frankl, Péter
1	Garling, D. J. H.
1	Geréb, Mihály
1	Gillispie, Steven B.
1	Gleason, Andrew Mattei
1	Graham, Ronald Lewis
1	Gregory, Richard L.
1	Grošelj, Jan
1	Gutman, Ivan M.
1	Guy, Richard Kenneth
1	Gyárfás, András
1	Häggkvist, Roland
1	Harborth, Heiko
1	Haydon, Richard G.
1	Hilton, Anthony J. W.
1	Hoede, Cornelis
1	Husimi, Kodi
1	James, Robert C.
1	Johnsen, Peter D. jun.
1	Johnson, David Stifler
1	Johnson, Norman Woodason
1	Jucovic, Ernest
1	Kahle, Matthew
1	Kaibel, Volker
1	Katona, Gyula O. H.
1	Klamkin, Murray Seymour
1	Koh, Eusebio L.
1	Kuhn, Harold William
1	Kurepa, Đuro R.
1	Lalvani, Haresh
1	Larman, David G.
1	Lima, Asvald
1	Lindenstrauss, Joram
1	Löckenhoff, H.-D.
1	Loeb, Arthur L.
1	Lovász, László
...and 47 more Co-Authors

all top 5

Serials

61	Geombinatorics
11	American Mathematical Monthly
10	Mathematics Magazine
9	Israel Journal of Mathematics
9	Pacific Journal of Mathematics
8	Discrete Mathematics
5	Geometriae Dedicata
5	Discrete & Computational Geometry
5	Journal of the London Mathematical Society
4	Colloquium Mathematicum
4	Proceedings of the American Mathematical Society
4	Ars Mathematica Contemporanea
3	The Mathematical Gazette
3	Commentarii Mathematici Helvetici
3	Journal of Combinatorial Theory. Series A
3	Journal of the London Mathematical Society. Second Series
3	Transactions of the American Mathematical Society
3	Topologie Structurale
3	Aequationes Mathematicae
2	The Mathematical Intelligencer
2	Beiträge zur Algebra und Geometrie
2	Archiv der Mathematik
2	Bulletin of the London Mathematical Society
2	Canadian Journal of Mathematics
2	Journal of Combinatorial Theory. Series B
2	Journal of Geometry
2	Mathematika
2	Michigan Mathematical Journal
2	Portugaliae Mathematica
2	Comptes Rendus Mathématiques de l’Académie des Sciences
2	European Journal of Combinatorics
2	Combinatorica
2	L’Enseignement Mathématique. 2e Série
2	Notices of the American Mathematical Society
2	The Electronic Journal of Combinatorics
2	Proceedings of the Cambridge Philosophical Society
2	Bulletin of the American Mathematical Society
2	Journal of Combinatorial Theory
2	Contributions to Discrete Mathematics
2	Graduate Texts in Mathematics
2	Regional Conference Series in Mathematics
2	Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
1	Acta Mathematica Academiae Scientiarum Hungaricae
1	Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1	Mathematical Proceedings of the Cambridge Philosophical Society
1	Periodica Mathematica Hungarica
1	Zeitschrift für Kristallographie
1	Acta Mathematica
1	Ars Combinatoria
1	Canadian Mathematical Bulletin
1	Czechoslovak Mathematical Journal
1	Journal of Graph Theory
1	Kiberneticheskiĭ Sbornik. Novaya Seriya
1	Mathematica Scandinavica
1	Mathematische Zeitschrift
1	Networks
1	Results in Mathematics
1	Siberian Mathematical Journal
1	Sibirskiĭ Matematicheskiĭ Zhurnal
1	Studia Scientiarum Mathematicarum Hungarica
1	Elemente der Mathematik
1	SIAM Journal on Applied Mathematics
1	Bulletin of the American Mathematical Society. New Series
1	Bulletin of the Institute of Combinatorics and its Applications
1	Differential Equations and Dynamical Systems
1	Graduate Studies in Mathematics
1	The College Mathematics Journal
1	Archimede
1	ISRN Geometry
1	Anais da Academia Brasileira de Ciências

all top 5

Fields

131	Convex and discrete geometry (52-XX)
108	Geometry (51-XX)
93	Combinatorics (05-XX)
13	History and biography (01-XX)
7	General and overarching topics; collections (00-XX)
7	Manifolds and cell complexes (57-XX)
6	Group theory and generalizations (20-XX)
4	Number theory (11-XX)
2	Mathematical logic and foundations (03-XX)
2	Order, lattices, ordered algebraic structures (06-XX)
2	Ordinary differential equations (34-XX)
1	Algebraic geometry (14-XX)
1	Real functions (26-XX)
1	Special functions (33-XX)
1	Dynamical systems and ergodic theory (37-XX)
1	Differential geometry (53-XX)
1	Statistical mechanics, structure of matter (82-XX)
1	Mathematics education (97-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

212 Publications have been cited 4,954 times in 3,905 Documents	Cited by ▼	Year ▼
Convex polytopes. With the cooperation of Victor Klee, M. A. Perles, and G. C. Shephard. Zbl 0163.16603 Grünbaum, Branko	713	1967
Tilings and patterns. Zbl 0601.05001 Grünbaum, Branko; Shephard, G. C.	442	1987
Convex polytopes. Prepared by Volker Kaibel, Victor Klee, and Günter M. Ziegler. 2nd ed. Zbl 1024.52001 Grünbaum, Branko	329	2003
Helly’s theorem and its relatives. Zbl 0132.17401 Danzer, L.; Grünbaum, Branko; Klee, V.	298	1963
Acyclic colorings of planar graphs. Zbl 0265.05103 Grünbaum, Branko	218	1973
Arrangements and spreads. Zbl 0249.50011 Grünbaum, Branko	141	1972
The mathematical coloring book. Mathematics of coloring and the colorful life of its creators. Forewords by Branko Grünbaum, Peter D. Johnson jun., and Cecil Rousseau. Zbl 1221.05001 Soifer, Alexander	129	2009
Convex polytopes. Prepared by Volker Kaibel, Victor Klee, and Günter M. Ziegler. 2nd ed. Zbl 1033.52001 Grünbaum, Branko	126	2003
Measures of symmetry for convex sets. Zbl 0142.20503 Grünbaum, Branko	117	1963
Polytopes, graphs, and complexes. Zbl 0211.25001 Grünbaum, B.	96	1970
Partitions of mass-distributions and of convex bodies by hyperplanes. Zbl 0101.14603 Grünbaum, Branko	86	1960
Configurations of points and lines. Zbl 1205.51003 Grünbaum, Branko	82	2009
The number of faces of convex polytopes. Zbl 0152.20602 Grünbaum, Branko	81	1967
An enumeration of simplicial 4-polytopes with 8 vertices. Zbl 0156.43304 Grünbaum, Branko; Sreedharan, V. P.	64	1967
Über zwei Probleme bezüglich konvexer Körper von P. Erdős und von V.L. Klee. Zbl 0188.27602 Danzer, L.; Grünbaum, Branko	63	1962
Shortness exponents of families of graphs. Zbl 0263.05103 Grünbaum, Branko; Walther, Hansjoachim	60	1973
Regular polyhedra - old and new. Zbl 0381.51012 Grünbaum, Branko	57	1977
On a coloring problem. Zbl 0095.17002 Asplund, E.; Grünbaum, Branko	56	1960
The number of hexagons and the simplicity of geodesics on certain polyhedra. Zbl 0121.37605 Grünbaum, Branko; Motzkin, T. S.	56	1963
Helly’s theorem and its relatives. Zbl 0169.24601 Danzer, L.; Grünbaum, Branko; Klee, V.	56	1968
Projection constants. Zbl 0095.09002 Grünbaum, Branko	49	1960
On Steinitz’s theorem concerning convex 3-polytopes and on some properties of planar graphs. Zbl 0194.25003 Barnette, D. W.; Grünbaum, Branko	45	1969
Tilings and patterns. An introduction. Zbl 0746.52001 Grünbaum, Branko; Shephard, Geoffrey Colin	41	1989
Polytopal graphs. Zbl 0323.05104 Grünbaum, Branko	41	1975
Grötzsch’s theorem on 3-colorings. Zbl 0115.40903 Grünbaum, Branko	40	1963
A catalogue of simplicial arrangements in the real projective plane. Zbl 1177.51020 Grünbaum, Branko	39	2009
Regularity of graphs, complexes and designs. Zbl 0419.05017 Grünbaum, Branko	35	1978
Aperiodic tiles. Zbl 0758.52013 Ammann, Robert; Grünbaum, Branko; Shephard, G. C.	34	1992
Convex polytopes. Zbl 0183.26901 Grünbaum, Branko; Shephard, Geoffrey C.	33	1969
On common transversals. Zbl 0083.17204 Grünbaum, Branko	31	1958
On a conjecture of H. Hadwiger. Zbl 0131.20003 Grünbaum, Branko	30	1961
Antidirected Hamiltonian paths in tournaments. Zbl 0198.29304 Grünbaum, B.	30	1971
Borsuk’s problem and related questions. Zbl 0151.29101 Grünbaum, Branko	28	1963
Pairs of edge-disjoint Hamiltonian circuits. Zbl 0331.05118 Grünbaum, Branko; Malkevitch, Joseph	28	1976
On the number of invariant straight lines for polynomial differential systems. Zbl 0930.34022 Artés, Joan C.; Grünbaum, Branko; Llibre, Jaume	27	1998
New views on some old questions of combinatorial geometry. Zbl 0347.52004 Grünbaum, Branko	27	1976
Satins and twills: An introduction to the geometry of fabrics. Zbl 0462.05025 Grünbaum, Branko; Shephard, Geoffrey C.	26	1980
Vertices missed by longest paths or circuits. Zbl 0259.05120 Grünbaum, Branko	26	1974
Graßmann angles of convex polytopes. Zbl 0181.25104 Grünbaum, Branko	26	1968
Arrangements of hyperplanes. Zbl 0289.52004 Grünbaum, Branko	24	1971
Some analogues of Eberhard’s theorem on convex polytopes. Zbl 0174.53702 Grünbaum, Branko	24	1969
Matchings in polytopal graphs. Zbl 0294.05104 Grünbaum, B.	23	1974
The orchard problem. Zbl 0311.05024 Burr, Stefan A.; Grünbaum, Branko; Sloane, N. J. A.	23	1974
Some semicontinuity theorems for convex polytopes and cell-complexes. Zbl 0137.41802 Eggleston, H. G.; Grünbaum, Branko; Klee, V.	23	1964
The eighty-one types of isohedral tilings in the plane. Zbl 0362.05054 Grünbaum, Branko; Shephard, Geoffrey C.	23	1977
Tilings by regular polygons. Zbl 0385.51006 Grünbaum, Branko; Shephard, Geoffrey C.	22	1977
The existence of certain planar maps. Zbl 0298.05112 Grünbaum, Branko; Zaks, Joseph	21	1974
Analogues for tilings of Kotzig’s theorem on minimal weights of edges. Zbl 0504.05026 Grünbaum, Branko; Shephard, Geoffrey C.	21	1982
A simple proof of Borsuk’s conjecture in three dimensions. Zbl 0073.39201 Grünbaum, Branko	19	1957
Tilings with congruent tiles. Zbl 0463.51019 Grünbaum, Branko; Shephard, Geoffrey C.	19	1980
On intersections of similar sets. Zbl 0096.16702 Grünbaum, Branko	19	1959
A proof of Vazsonyi’s conjecture. Zbl 0074.36304 Grünbaum, Branko	18	1956
The real configuration \((21_ 4)\). Zbl 0721.51013 Grünbaum, Branko; Rigby, J. F.	18	1990
Venn diagrams and independent families of sets. Zbl 0305.05004 Grünbaum, Branko	17	1975
On the geometry of Minkowski planes. Zbl 0102.36804 Asplund, E.; Grünbaum, Branko	17	1961
Pick’s theorem. Zbl 0776.52005 Grünbaum, Branko; Shephard, G. C.	17	1993
Intersection properties of boxes in \(R^ n\). Zbl 0513.52009 Danzer, Ludwig; Grünbaum, Branko	16	1982
Preassigning the shape of a face. Zbl 0193.22501 Barnette, D. W.; Grünbaum, Branko	16	1970
Strictly antipodal sets. Zbl 0192.26604 Grünbaum, Branko	16	1963
Arrangements and spreads. Reprint. Zbl 0475.51005 Grünbaum, Branko	15	1980
Some applications of expansion constants. Zbl 0094.09002 Grünbaum, Branko	14	1960
Borsuk’s partition conjecture in Minkowski planes. Zbl 0086.15202 Grünbaum, Branko	14	1957
On some covering and intersection properties in Minkowski spaces. Zbl 0086.15203 Grünbaum, Branko	14	1959
Small triangle-free configurations of points and lines. Zbl 1109.05029 Boben, Marko; Grünbaum, Branko; Pisanski, Tomaž; Žitnik, Arjana	14	2006
Edge-transitive planar graphs. Zbl 0643.05038 Grünbaum, Branko; Shephard, G. C.	14	1987
Is selfduality involutory? Zbl 0658.52004 Grünbaum, Branko; Shephard, G. C.	14	1988
A generalization of theorems of Kirszbraun and Minty. Zbl 0129.09202 Grünbaum, Branko	13	1962
On components in some families of sets. Zbl 0106.01001 Grünbaum, Branko; Mitzkin, Theodore S.	13	1961
Polyhedra with hollow faces. Zbl 0808.52008 Grünbaum, Branko	13	1994
Uniform tilings of \(3\)-space. Zbl 0844.52022 Grünbaum, Branko	13	1994
Longest simple paths on polyhedral graphs. Zbl 0106.16802 Grünbaum, Branko; Motzkin, T. S.	12	1962
Self-circumference of convex sets. Zbl 0123.15701 Grünbaum, Branko	12	1964
Planar maps with prescribed types of vertices and faces. Zbl 0186.27502 Grünbaum, Branko	12	1969
Graphs of polyhedra; polyhedra as graphs. Zbl 1111.51018 Grünbaum, Branko	12	2007
Some problems on polyhedra. Zbl 0618.52004 Grünbaum, Branko; Shephard, Geoffrey C.	12	1987
The geometry of planar graphs. Zbl 0462.05029 Grünbaum, Branko; Shephard, Geoffrey C.	11	1981
Polyhedra with transitivity properties. Zbl 0528.52009 Grünbaum, Branko; Shephard, Geoffrey C.	11	1984
The importance of being straight. Zbl 0225.50016 Grünbaum, Branko	11	1970
Continuous families of curves. Zbl 0142.20404 Grünbaum, Branko	11	1966
Common transversals for families of sets. Zbl 0098.35503 Grünbaum, Branko	11	1960
Addition and decomposition of convex polytopes. Zbl 0131.20102 Firey, W. J.; Grünbaum, Branko	10	1964
Nerves of simplicial complexes. Zbl 0193.52903 Grünbaum, Branko	10	1970
On the facial structure of convex polytopes. Zbl 0137.18002 Grünbaum, Branko	10	1965
Self-duality groups and ranks of self-dualities. Zbl 0752.52003 Ashley, Jonathan; Grünbaum, Branko; Shephard, G. C.; Stromquist, Walter	10	1991
Acoptic polyhedra. Zbl 0927.52016 Grünbaum, Branko	10	1999
Rotation and winding numbers for planar polygons and curves. Zbl 0722.51012 Grünbaum, Branko; Shephard, G. C.	10	1990
The perimeter of Minkowski unit discs. Zbl 0141.20001 Grünbaum, Branko	9	1966
Isotoxal tilings. Zbl 0393.51010 Grünbaum, Branko; Shephard, Geoffrey C.	9	1978
Fixing systems and inner illumination. Zbl 0132.17303 Grünbaum, Branko	8	1964
Are your polyhedra the same as my polyhedra? Zbl 1080.52505 Grünbaum, Branko	8	2003
Imbeddings of simplicial complexes. Zbl 0188.28604 Grünbaum, Branko	8	1969
Higher-dimensional analogs of the four-color problem and some inequalities for simplicial complexes. Zbl 0199.27204 Grünbaum, Branko	8	1970
On polyhedral graphs. Zbl 0137.42902 Grünbaum, Branko; Motzkin, T. S.	8	1963
An extension to the catalogue of isonemal fabrics. Zbl 0598.52011 Grünbaum, Branko; Shephard, Geoffrey C.	8	1986
Are these figures oxymora? Zbl 0781.05010 Dorwart, Harold L.; Grünbaum, Branko	8	1992
An enduring error. Zbl 1176.52002 Grünbaum, Branko	8	2009
The geometric vein. The Coxeter Festschrift. Zbl 0488.00015	7	1982
“New” uniform polyhedra. Zbl 1062.52001 Grünbaum, Branko	7	2003
Spherical tilings with transitivity properties. Zbl 0501.51012 Grünbaum, Branko; Shephard, Geoffrey C.	7	1982
Durham symposium on the relations between infinite-dimensional and finite-dimensional convexity. Zbl 0323.52001	7	1976
Splittable and unsplittable graphs and configurations. Zbl 1420.51003 Bašić, Nino; Grošelj, Jan; Grünbaum, Branko; Pisanski, Tomaž	2	2019
Multilaterals in configurations. Zbl 1260.05027 Boben, Marko; Grünbaum, Branko; Pisanski, Tomaž	4	2013
Simplicial arrangements revisited. Zbl 1314.51008 Grünbaum, Branko	1	2013
Polygons: Meister was right and Poinsot was wrong but prevailed. Zbl 1239.52001 Grünbaum, Branko	5	2012
Is Napoleon’s theorem really Napoleon’s theorem? Zbl 1264.01010 Grünbaum, Branko	5	2012
Geometric realization of some triangle-free combinatorial configurations \(22_3\). Zbl 1250.05033 Grünbaum, Branko	2	2012
Geometric etudes in combinatorial mathematics. With forewords to the 1st edition by Paul Erdős, Branko Grünbaum, and Cecil Rousseau. With new forewords to the 2nd edition by Branko Grünbaum, Peter D. Johnson jun. and Cecil Rousseau. 2nd updated and expanded ed. Zbl 1203.52007 Soifer, Alexander	3	2010
The Bilinski dodecahedron and assorted parallelohedra, zonohedra, monohedra, isozonohedra, and otherhedra. Zbl 1234.52008 Grünbaum, Branko	3	2010
Deletion constructions of symmetric 4-configurations. I. Zbl 1195.51004 Berman, Leah Wrenn; Grünbaum, Branko	2	2010
Dirac’s conjecture concerning high-incidence elements in aggregates. Zbl 1506.51007 Grünbaum, Branko	1	2010
The mathematical coloring book. Mathematics of coloring and the colorful life of its creators. Forewords by Branko Grünbaum, Peter D. Johnson jun., and Cecil Rousseau. Zbl 1221.05001 Soifer, Alexander	129	2009
Configurations of points and lines. Zbl 1205.51003 Grünbaum, Branko	82	2009
A catalogue of simplicial arrangements in the real projective plane. Zbl 1177.51020 Grünbaum, Branko	39	2009
An enduring error. Zbl 1176.52002 Grünbaum, Branko	8	2009
Topological configurations \((n_4)\) exist for all \(n\geq 17\). Zbl 1205.52017 Bokowski, Jürgen; Grünbaum, Branko; Schewe, Lars	7	2009
Geometric “floral” configurations. Zbl 1180.51003 Berman, Leah Wrenn; Bokowski, Jürgen; Grünbaum, Branko; Pisanski, Tomaž	3	2009
How does one cut a triangle? With forewords by Philip L. Engel, Paul Erdős, Branko Grünbaum, Peter D. Johnson jun. and Cecil Rousseau. 2nd ed. Zbl 1180.52001 Soifer, Alexander	1	2009
Geometric realizations of special toroidal complexes. Zbl 1235.52026 Grünbaum, Branko; Szilassi, Lajos	1	2009
Small unstretchable simplicial arrangement of pseudolines. Zbl 1506.52046 Grünbaum, Branko	1	2009
Musings on an example of Danzer’s. Zbl 1160.51002 Grünbaum, Branko	5	2008
Equipartite graphs. Zbl 1159.05044 Grünbaum, Branko; Kaiser, Tomáš; Král’, Daniel; Rosenfeld, Moshe	3	2008
Graphs of polyhedra; polyhedra as graphs. Zbl 1111.51018 Grünbaum, Branko	12	2007
Small triangle-free configurations of points and lines. Zbl 1109.05029 Boben, Marko; Grünbaum, Branko; Pisanski, Tomaž; Žitnik, Arjana	14	2006
Configurations of points and lines. Zbl 1105.52013 Grünbaum, Branko	6	2006
Connected \((n_4)\) configurations exist for almost all \(n\) – second update. Zbl 1506.52045 Grünbaum, Branko	6	2006
Euler’s ratio-sum theorem and generalizations. Zbl 1149.51004 Grünbaum, Branko; Klamkin, Murray S.	2	2006
Are prisms and antiprisms really boring? III. Zbl 1094.52007 Grünbaum, Branko	1	2005
Are prisms and antiprisms really boring? I. Zbl 1050.51012 Grünbaum, Branko	1	2004
Convex polytopes. Prepared by Volker Kaibel, Victor Klee, and Günter M. Ziegler. 2nd ed. Zbl 1024.52001 Grünbaum, Branko	329	2003
Convex polytopes. Prepared by Volker Kaibel, Victor Klee, and Günter M. Ziegler. 2nd ed. Zbl 1033.52001 Grünbaum, Branko	126	2003
Are your polyhedra the same as my polyhedra? Zbl 1080.52505 Grünbaum, Branko	8	2003
“New” uniform polyhedra. Zbl 1062.52001 Grünbaum, Branko	7	2003
(1-2-3)-complexes. Zbl 1045.52004 Grünbaum, Branko	2	2003
Connected \((n_4)\) configurations exist for almost all \(n\) – an update. Zbl 1116.52302 Grünbaum, Branko	6	2002
No-net polyhedra. Zbl 1010.52010 Grünbaum, Branko	6	2002
Convexification of polygons by flips and by flipturns. Zbl 0997.52003 Grünbaum, Branko; Zaks, Joseph	5	2001
A relative of “Napoleon’s theorem”. Zbl 0979.51008 Grünbaum, Branko	4	2001
A starshaped polyhedron with no net. Zbl 0998.52008 Grünbaum, Branko	2	2001
A convex polyhedron which is not equifacettable. Zbl 0998.52007 Grünbaum, Branko	1	2001
Astral \((n_4)\) configurations. Zbl 0981.51014 Grünbaum, Branko	5	2000
Which \((n_4)\) configurations exist? Zbl 0964.51011 Grünbaum, Branko	3	2000
Connected (n4) configurations exist for almost all n. Zbl 0966.51012 Grünbaum, Branko	3	2000
Parallelogram-faced isohedra with edges in mirror-planes. Zbl 0969.52003 Grünbaum, Branko	1	2000
Acoptic polyhedra. Zbl 0927.52016 Grünbaum, Branko	10	1999
Monochromatic intersection points in families of colored lines. Zbl 0948.52013 Grünbaum, Branko	6	1999
The search for symmetric Venn diagrams. Zbl 0929.52007 Grünbaum, Branko	4	1999
On the number of invariant straight lines for polynomial differential systems. Zbl 0930.34022 Artés, Joan C.; Grünbaum, Branko; Llibre, Jaume	27	1998
Some new transversality properties. Zbl 0912.51006 Grünbaum, Branko; Shephard, G. C.	4	1998
Isohedra with nonconvex faces. Zbl 0938.51016 Grünbaum, Branko; Shephard, G. C.	3	1998
Face-transitive polyhedra with rectangular faces. Zbl 0926.52012 Coxeter, H. S. M.; Grünbaum, Branko	2	1998
Which coronas are simple? Zbl 0927.52029 Grünbaum, Branko	1	1998
Realizations of symmetric maps by symmetric polyhedra. Zbl 0917.52011 Grünbaum, Branko	1	1998
Ceva, Menelaus, and selftransversality. Zbl 0883.52005 Grünbaum, Branko; Shephard, G. C.	5	1997
Isogonal prismatoids. Zbl 0880.51012 Grünbaum, Branko	4	1997
On the invariant straight lines of polynomial differential systems. Zbl 0903.34027 Artés, Joan C.; Grünbaum, Branko; Llibre, Jaume	2	1997
A new Ceva-type theorem. Zbl 0882.51012 Grünbaum, Branko; Shephard, G. C.	2	1996
Ceva, Menelaus, and the area principle. Zbl 0869.51007 Grünbaum, Branko; Shephard, G. C.	7	1995
How to convexify a polygon. Zbl 0866.52001 Grünbaum, Branko	4	1995
Polyhedra with hollow faces. Zbl 0808.52008 Grünbaum, Branko	13	1994
Uniform tilings of \(3\)-space. Zbl 0844.52022 Grünbaum, Branko	13	1994
Hamiltonian polygons and polyhedra. Zbl 0845.05066 Grünbaum, Branko	4	1994
A new look at Euler’s theorem for polyhedra. Zbl 0807.52010 Grünbaum, Branko; Shephard, G. C.	3	1994
Quadrangles, pentagons, and computers, revisited. Zbl 0845.51014 Grünbaum, Branko	1	1994
Pick’s theorem. Zbl 0776.52005 Grünbaum, Branko; Shephard, G. C.	17	1993
Astral \((n_ k)\) configurations. Zbl 0845.51010 Grünbaum, Branko	6	1993
Quadrangles, pentagons, and computers. Zbl 0845.51013 Grünbaum, Branko	2	1993
Aperiodic tiles. Zbl 0758.52013 Ammann, Robert; Grünbaum, Branko; Shephard, G. C.	34	1992
Are these figures oxymora? Zbl 0781.05010 Dorwart, Harold L.; Grünbaum, Branko	8	1992
Venn diagrams. II. Zbl 0851.52009 Grünbaum, Branko	4	1992
Interlace patterns in Islamic and Moorish art. Zbl 0804.52012 Grünbaum, Branko; Shephard, G. C.	4	1992
Venn diagrams. I. Zbl 0851.52008 Grünbaum, Branko	1	1992
Self-duality groups and ranks of self-dualities. Zbl 0752.52003 Ashley, Jonathan; Grünbaum, Branko; Shephard, G. C.; Stromquist, Walter	10	1991
Descartes’ theorem in \(n\) dimensions. Zbl 0738.52010 Grünbaum, Branko; Shephard, G. C.	3	1991
Nets of polyhedra. II. Zbl 0845.51019 Grünbaum, Branko	3	1991
Geometric etudes in combinatorial mathematics. With over 300 illustrations, index, and introductions by Paul Erdős, Branko Grünbaum and Cicil Rousseau. Zbl 0727.52001 Boltyanskij, Vladimir; Soifer, Alexander	1	1991
Odd polyhedra. Zbl 0843.52008 Grünbaum, Branko	1	1991
The real configuration \((21_ 4)\). Zbl 0721.51013 Grünbaum, Branko; Rigby, J. F.	18	1990
Rotation and winding numbers for planar polygons and curves. Zbl 0722.51012 Grünbaum, Branko; Shephard, G. C.	10	1990
Tilings and patterns. An introduction. Zbl 0746.52001 Grünbaum, Branko; Shephard, Geoffrey Colin	41	1989
Is selfduality involutory? Zbl 0658.52004 Grünbaum, Branko; Shephard, G. C.	14	1988
Isonemal fabrics. Zbl 0645.51020 Grünbaum, Branko; Shephard, G. C.	6	1988
The edge-density of 4-critical planar graphs. Zbl 0810.05028 Grünbaum, B.	5	1988
Rigid plate frameworks. (Les charpentes de plaques rigides). Zbl 0645.51021 Grünbaum, Branko; Shephard, G. C.	2	1988
Tilings and patterns. Zbl 0601.05001 Grünbaum, Branko; Shephard, G. C.	442	1987
Edge-transitive planar graphs. Zbl 0643.05038 Grünbaum, Branko; Shephard, G. C.	14	1987
Some problems on polyhedra. Zbl 0618.52004 Grünbaum, Branko; Shephard, Geoffrey C.	12	1987
Equitransitive tilings, or how to discover new mathematics. Zbl 0618.52011 Danzer, Ludwig; Grünbaum, Branko; Shephard, G. C.	1	1987
A dual of Descartes’ theorem on polyhedra. Zbl 0631.52007 Grünbaum, Branko; Shephard, G. C.	1	1987
An extension to the catalogue of isonemal fabrics. Zbl 0598.52011 Grünbaum, Branko; Shephard, Geoffrey C.	8	1986
A catalogue of isonemal fabrics. Zbl 0569.51007 Grünbaum, Branko; Shephard, Geoffrey C.	6	1985
Symmetry groups of knots. Zbl 0585.51012 Grünbaum, Branko; Shephard, Geoffrey C.	3	1985
The enumeration of normal 2-homeohedral tilings. Zbl 0572.52024 Grünbaum, Branko; Löckenhoff, H.-D.; Shephard, Geoffrey C.; Temesvári, Á. H.	2	1985
Polyhedra with transitivity properties. Zbl 0528.52009 Grünbaum, Branko; Shephard, Geoffrey C.	11	1984
Simplicial arrangements in projective 3-space. Zbl 0558.51001 Grünbaum, Branko; Shephard, Geoffrey C.	7	1984
Tiling three-dimensional space with polyhedral tiles of a given isomorphism type. Zbl 0533.52006 Grünbaum, Branko; Mani-Levitska, Peter; Shephard, Geoffrey C.	5	1984
The construction of Venn diagrams. Zbl 0995.03510 Grünbaum, Branko	2	1984
The Emperor’s new clothes: full regalia, G string, or nothing? Zbl 0561.52014 Grünbaum, Branko	2	1984
The geometry of fabrics. Zbl 0559.05016 Grünbaum, Branko; Shephard, Geoffrey C.	1	1984
Tilings, patterns, fabrics and related topics in discrete geometry. Zbl 0512.52008 Grünbaum, Branko; Shephard, Geoffrey C.	5	1983
Does every type of polyhedron tile three-space? Zbl 0539.52017 Danzer, Ludwig; Grünbaum, Branko; Shephard, Geoffrey C.	5	1983
...and 112 more Documents

all cited Publications top 5 cited Publications

all top 5

Cited by 3,917 Authors

49	Borodin, Oleg Veniaminovich
43	Grünbaum, Branko
39	Martini, Horst
37	Ivanova, Anna Olegovna
36	Schulte, Egon
34	Jendrol’, Stanislav
34	McMullen, Peter
30	Barnette, David W.
30	Breen, Marilyn
29	Raspaud, André
24	Bokowski, Jürgen G.
24	Zaks, Joseph
23	Shephard, Geoffrey Colin
22	Ziegler, Günter Matthias
21	Bárány, Imre
21	Pach, János
21	Pisanski, Tomaž
20	Pellicer, Daniel
18	Chen, Min
17	Kabluchko, Zakhar A.
17	Klee, Victor LaRue
17	Soltan, Valeriu
16	Edelsbrunner, Herbert
16	Kalai, Gil
16	Swanepoel, Konrad J.
16	Zamfirescu, Carol T.
15	Katchalski, Meir
15	Thomassen, Carsten
15	Wang, Wei-Fan
14	Goaoc, Xavier
14	Rosenfeld, Moshe
14	Weiss, Asia Ivić
13	Altshuler, Amos
13	Billera, Louis J.
13	Bisztriczky, Tibor
13	Deza, Michel Marie
13	Jucovic, Ernest
13	Kostochka, Aleksandr Vasil’evich
13	Lassak, Marek
13	Mohar, Bojan
13	Oliveros, Deborah
13	Padrol, Arnau
13	Schneider, Rolf G.
13	Sturmfels, Bernd
12	Bezdek, Károly
12	Böröczky, Karoly jun.
12	Felsner, Stefan
12	Goodman, Jacob Eli
12	Gritzmann, Peter
12	Llibre, Jaume
12	Soberón, Pablo
11	Cuntz, Michael Joachim
11	Harant, Jochen
11	Kleinschmidt, Peter
11	Lángi, Zsolt
11	Lawrence, James
11	Pineda-Villavicencio, Guillermo
11	Pollack, Richard M.
11	Roldán-Pensado, Edgardo
11	Vulpe, Nicolae I.
11	Walczak, Bartosz
11	Welzl, Emo
10	Berman, Leah Wrenn
10	Datta, Basudeb
10	De Loera, Jesús A.
10	Gévay, Gábor E.
10	Jerónimo-Castro, Jesús
10	Liu, Guizhen
10	Mani-Levitska, Peter
10	Montejano Peimbert, Luis
10	Naszódi, Márton
10	Ozeki, Kenta
10	Purdy, George B.
10	Scheucher, Manfred
10	Soták, Roman
10	Spirova, Margarita Georgieva
10	Wetzel, John E.
10	Yost, David T.
9	Alfakih, Abdo Y.
9	Alon, Noga
9	Blind, Gerd
9	Dillencourt, Michael B.
9	Došlić, Tomislav
9	Frettlöh, Dirk
9	González Merino, Bernardo
9	Jamison, Robert E.
9	Jin, Hailin
9	Kühnel, Wolfgang
9	Maity, Dipendu
9	Nevo, Eran
9	Novik, Isabella
9	Owens, Peter John
9	Santos, Francisco
9	Schulz, Christoph
9	Sharir, Micha
9	Tkáč, Michal
9	Toth, Gabor
9	Walther, Hansjoachim
9	Williams, Gordon Ian
9	Wills, Jörg M.
...and 3,817 more Authors

all top 5

Cited in 511 Serials

376	Discrete Mathematics
315	Discrete & Computational Geometry
138	Israel Journal of Mathematics
109	Journal of Combinatorial Theory. Series A
103	Discrete Applied Mathematics
100	European Journal of Combinatorics
79	Journal of Combinatorial Theory. Series B
67	Geometriae Dedicata
59	Advances in Mathematics
59	Proceedings of the American Mathematical Society
56	Journal of Graph Theory
55	Transactions of the American Mathematical Society
53	Computational Geometry
49	Graphs and Combinatorics
49	Linear Algebra and its Applications
44	Beiträge zur Algebra und Geometrie
43	Journal of Geometry
43	Theoretical Computer Science
42	Mathematika
40	Mathematical Notes
39	Aequationes Mathematicae
36	Journal of Mathematical Analysis and Applications
31	Information Processing Letters
31	The Electronic Journal of Combinatorics
30	The Mathematical Intelligencer
30	Archiv der Mathematik
30	SIAM Journal on Discrete Mathematics
28	Monatshefte für Mathematik
24	Mathematische Annalen
24	Combinatorica
23	Periodica Mathematica Hungarica
22	Bulletin of the American Mathematical Society. New Series
22	Journal of Mathematical Chemistry
21	Results in Mathematics
21	Topology and its Applications
19	Ars Mathematica Contemporanea
17	Journal of Functional Analysis
17	Siberian Mathematical Journal
15	Acta Mathematica Hungarica
14	Computers & Mathematics with Applications
14	Applied Mathematics and Computation
14	Inventiones Mathematicae
14	Mathematica Slovaca
14	Advances in Applied Mathematics
14	Algorithmica
13	American Mathematical Monthly
13	Mathematische Zeitschrift
13	Advances in Geometry
13	The Art of Discrete and Applied Mathematics
12	Journal of Statistical Physics
12	Journal of Optimization Theory and Applications
12	Expositiones Mathematicae
12	Journal of Algebraic Combinatorics
12	Journal of Convex Analysis
12	Geometry & Topology
12	Journal of Physics A: Mathematical and Theoretical
11	Acta Mathematica Sinica. English Series
11	Discrete Mathematics, Algorithms and Applications
10	Communications in Mathematical Physics
10	Journal of Algebra
10	Journal of Mathematical Sciences (New York)
10	Journal of Mathematics and the Arts
9	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
9	Mathematical Programming
9	Synthese
9	Mathematical Programming. Series A. Series B
9	Annals of Combinatorics
8	Journal of Computer and System Sciences
8	Journal of Mathematical Psychology
8	Mathematische Nachrichten
8	Discussiones Mathematicae. Graph Theory
8	Nexus Network Journal
8	Bulletin of the American Mathematical Society
8	Proceedings of the Steklov Institute of Mathematics
8	SIAM Journal on Applied Algebra and Geometry
7	Bulletin of the Australian Mathematical Society
7	Journal of Mathematical Physics
7	Mathematics Magazine
7	Acta Mathematica
7	Bulletin of the London Mathematical Society
7	Journal of Approximation Theory
7	Journal of Soviet Mathematics
7	Journal of Symbolic Computation
7	The Journal of Geometric Analysis
7	Elemente der Mathematik
7	European Journal of Operational Research
7	Indagationes Mathematicae. New Series
7	The Australasian Journal of Combinatorics
7	Boletín de la Sociedad Matemática Mexicana. Third Series
7	Journal of Combinatorial Optimization
7	Chebyshevskiĭ Sbornik
7	Science China. Mathematics
7	Acta Crystallographica. Section A
6	Physica A
6	Rocky Mountain Journal of Mathematics
6	Annales de l’Institut Fourier
6	Czechoslovak Mathematical Journal
6	Computer Aided Geometric Design
6	Probability Theory and Related Fields
6	Applied Mathematics Letters
...and 411 more Serials

all top 5

Cited in 60 Fields

1,939	Convex and discrete geometry (52-XX)
1,499	Combinatorics (05-XX)
414	Geometry (51-XX)
402	Computer science (68-XX)
215	Manifolds and cell complexes (57-XX)
213	Operations research, mathematical programming (90-XX)
142	Group theory and generalizations (20-XX)
135	Functional analysis (46-XX)
128	Algebraic geometry (14-XX)
103	Probability theory and stochastic processes (60-XX)
79	Number theory (11-XX)
79	Dynamical systems and ergodic theory (37-XX)
78	Differential geometry (53-XX)
66	Linear and multilinear algebra; matrix theory (15-XX)
63	Numerical analysis (65-XX)
61	Order, lattices, ordered algebraic structures (06-XX)
59	Statistical mechanics, structure of matter (82-XX)
58	Biology and other natural sciences (92-XX)
56	Algebraic topology (55-XX)
50	Commutative algebra (13-XX)
48	Measure and integration (28-XX)
48	Information and communication theory, circuits (94-XX)
47	General topology (54-XX)
46	Operator theory (47-XX)
45	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
41	General and overarching topics; collections (00-XX)
40	History and biography (01-XX)
39	Mathematical logic and foundations (03-XX)
35	Ordinary differential equations (34-XX)
34	Statistics (62-XX)
33	Quantum theory (81-XX)
32	Real functions (26-XX)
30	Several complex variables and analytic spaces (32-XX)
25	Approximations and expansions (41-XX)
25	Systems theory; control (93-XX)
22	Calculus of variations and optimal control; optimization (49-XX)
17	Field theory and polynomials (12-XX)
16	Mechanics of deformable solids (74-XX)
15	Harmonic analysis on Euclidean spaces (42-XX)
14	Global analysis, analysis on manifolds (58-XX)
13	Partial differential equations (35-XX)
12	Functions of a complex variable (30-XX)
12	Mechanics of particles and systems (70-XX)
11	Category theory; homological algebra (18-XX)
11	Relativity and gravitational theory (83-XX)
10	Topological groups, Lie groups (22-XX)
9	Associative rings and algebras (16-XX)
9	Nonassociative rings and algebras (17-XX)
8	General algebraic systems (08-XX)
8	Abstract harmonic analysis (43-XX)
7	Special functions (33-XX)
7	Mathematics education (97-XX)
6	Difference and functional equations (39-XX)
5	Potential theory (31-XX)
3	Integral transforms, operational calculus (44-XX)
2	\(K\)-theory (19-XX)
2	Optics, electromagnetic theory (78-XX)
2	Classical thermodynamics, heat transfer (80-XX)
2	Geophysics (86-XX)
1	Fluid mechanics (76-XX)

Citations by Year

Wikidata Timeline

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