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Emamy-K., M. R.; Meléndez Ríos, Gustavo A.

On a convex geometric connection to threshold logic. (English) Zbl 07924269

Hoffman, Frederick (ed.) et al., Combinatorics, graph theory and computing. Proceedings of the 52nd Southeastern international conference, SEICCGTC 2021, virtual, Boca Raton, FL, USA, March 8–12, 2021. Singapore: Springer. Springer Proc. Math. Stat. 448, 87-97 (2024).

MSC: 06E30

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Novik, Isabella; Zheng, Hailun

The merging operation and \((d-i)\)-simplicial \(i\)-simple \(d\)-polytopes. (English) Zbl 07923244

Comb. Theory 4, No. 2, Paper No. 8, 27 p. (2024).

MSC: 52B05 52B11

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López de Medrano, Santiago

On the genera of moment-angle manifolds associated with dual-neighborly polytopes: combinatorial formulas and sequences. (English) Zbl 07921291

Bahri, Anthony (ed.) et al., Toric topology and polyhedral products. Cham: Springer. Fields Inst. Commun. 89, 239-251 (2024).

MSC: 57S12 55Pxx

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Black, Alexander E.; Sanyal, Raman

Underlying flag polymatroids. (English) Zbl 07915897

Adv. Math. 453, Article ID 109835, 42 p. (2024).

MSC: 90C57 05A05 52B12 90C27

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Fløystad, Gunnar

Partitions of vertices and facets in trees and stacked simplicial complexes. (English) Zbl 07888734

Graphs Comb. 40, No. 4, Paper No. 79, 22 p. (2024).

MSC: 05E45 05C70 05C05 05C69 11B73

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Matsushita, Koji

Toric rings of \((0, 1)\)-polytopes with small rank. (English) Zbl 07870762

Ill. J. Math. 68, No. 2, 281-307 (2024).

MSC: 13F65 13C20 52B20

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Conley, Clinton T.; Grebík, Jan; Pikhurko, Oleg

Divisibility of spheres with measurable pieces. (English) Zbl 07861325

Enseign. Math. (2) 70, No. 1-2, 25-59 (2024).

MSC: 28A05 03E15 33C55 43A90 57M60

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Choi, Suyoung; Jang, Hyeontae; Vallée, Mathieu

The characterization of \(( n- 1)\)-spheres with \(n+ 4\) vertices having maximal Buchstaber number. (English) Zbl 07856542

J. Reine Angew. Math. 811, 267-292 (2024).

MSC: 57Q15 05E45 57S12 14M25 68-XX

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Boivin, Antoine

Non-simplicial quantum toric varieties. (English) Zbl 07823125

Adv. Math. 441, Article ID 109553, 34 p. (2024).

Reviewer: Thanh Vu (Hà Nội)

MSC: 14A22 14M25 58B34 46L87

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Babecki, Catherine; Shiroma, David

Eigenpolytope universality and graphical designs. (English) Zbl 1533.05146

SIAM J. Discrete Math. 38, No. 1, 947-964 (2024).

MSC: 05C50 68R10 68Q17 52B12 52B35 90C60

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Ma, Jiming; Zheng, Fangting

Compact hyperbolic Coxeter four-dimensional polytopes with eight facets. (English) Zbl 07815454

J. Algebr. Comb. 59, No. 2, 225-290 (2024).

Reviewer: Geir Agnarsson (Fairfax)

MSC: 52B11 51F15 51M10

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Smith, Graham

On the asymptotic geometry of finite-type \(k\)-surfaces in three-dimensional hyperbolic space. (English) Zbl 1537.30022

J. Eur. Math. Soc. (JEMS) 26, No. 2, 407-467 (2024).

Reviewer: Andrea Tamburelli (Houston)

MSC: 30F60

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Capuñay, Alex; Espinoza, Milton; Friedman, Eduardo

Attractor-repeller construction of Shintani domains for totally complex quartic fields. (English) Zbl 07802058

J. Number Theory 258, 146-172 (2024).

Reviewer: Günter Lettl (Graz)

MSC: 11R42 11Y40 11R16

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Budroni, Costantino

Classical representability for partial Boolean structures in quantum mechanics. (English) Zbl 07918047

Cintio, Andrea (ed.) et al., Trails in modern theoretical and mathematical physics. A volume in tribute to Giovanni Morchio. Cham: Springer. 93-116 (2023).

MSC: 81-XX

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Iraids, Jānis; Smotrovs, Juris

Representing polynomial of St-Connectivity. (English) Zbl 07908422

Discrete Math. Theor. Comput. Sci. 25, No. 2, Paper No. 21, 13 p. (2023).

MSC: 06E30 68-XX

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Novik, Isabella

Face numbers: the upper bound side of the story. (English) Zbl 1536.05494

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4622-4644 (2023).

Reviewer: Anna Romanowska (Warszawa)

MSC: 05E45 05E40 13F55 52B05 52B12 57Q15

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Lorens, Serzh Aleksandrovich; Lao, Aleks Sergeevich; Lao, Mariya Evgen’evna; Chelyapina, Ol’ga Ivanovna

Pairs of mutually complementary 2-dimensional simplicial polyhedra: interesting examples. (Russian. English summary) Zbl 1534.51015

Chebyshevskiĭ Sb. 24, No. 3(89), 42-55 (2023).

MSC: 51M20

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Gudoshnikov, Ivan; Makarenkov, Oleg; Rachinskii, Dmitrii

Formation of a nontrivial finite-time stable attractor in a class of polyhedral sweeping processes with periodic input. (English) Zbl 1533.34025

ESAIM, Control Optim. Calc. Var. 29, Paper No. 84, 42 p. (2023).

MSC: 34A60 34D45 93D40 47J22 74C05

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Godland, Thomas; Kabluchko, Zakhar; Zaporozhets, Dmitry

Angle sums of random polytopes. (English) Zbl 1530.52004

Mich. Math. J. 73, No. 4, 815-842 (2023).

MSC: 52A22 52A55 60D05 51F15

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Cantat, Serge; Dujardin, Romain

Finite orbits for large groups of automorphisms of projective surfaces. (English) Zbl 07782529

Compos. Math. 160, No. 1, 120-175 (2023).

MSC: 37F80 37P55 37P30 11G50 14J50 14J28

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Viglietta, Giovanni

A theory of spherical diagrams. (English) Zbl 1531.68156

CGT, Comput. Geom. Topol. 2, No. 2, Paper No. 2, 24 p. (2023).

MSC: 68U05

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Friesecke, Gero; Penka, Maximilian

The GenCol algorithm for high-dimensional optimal transport: general formulation and application to barycenters and Wasserstein splines. (English) Zbl 07768238

SIAM J. Math. Data Sci. 5, No. 4, 899-919 (2023).

MSC: 65Kxx 90C06

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Hanely, Derek; Martin, Jeremy L.; McGinnis, Daniel; Miyata, Dane; Nasr, George D.; Vindas-Meléndez, Andrés R.; Yin, Mei

Ehrhart theory of paving and panhandle matroids. (English) Zbl 1526.05028

Adv. Geom. 23, No. 4, 501-526 (2023).

MSC: 05B35 05C31 52B40 05B25

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Gangopadhyay, Rahul; Ayan

Maximum rectilinear crossing number of uniform hypergraphs. (English) Zbl 1525.05139

Graphs Comb. 39, No. 6, Paper No. 114, 26 p. (2023).

MSC: 05C65 05C62 05C35 52B05 68Q17

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Beniamini, Gal; Nisan, Noam

Bipartite perfect matching as a real polynomial. (English) Zbl 1536.05365

Isr. J. Math. 256, No. 1, 91-131 (2023).

MSC: 05C70 05C75

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Aguiar, Marcelo; Ardila, Federico

Hopf monoids and generalized permutahedra. (English) Zbl 07753149

Memoirs of the American Mathematical Society 1437. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6708-1/pbk; 978-1-4704-7592-5/ebook). vi, 119 p. (2023).

Reviewer: Loïc Foissy (Calais)

MSC: 16T30 18M80 52B05 52B40 05C31 05C15 05A15 05B35

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Miller, Lance Edward; Taylor, William D.; Vassilev, Janet

Differentially fixed ideals in affine semigroup rings. (English) Zbl 1537.13043

Int. J. Algebra Comput. 33, No. 6, 1127-1156 (2023).

Reviewer: Alexander B. Levin (Washington, D.C.)

MSC: 13F65 13N10

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Hinman, Jopshua

A positive answer to Bárány’s question on face numbers of polytopes. (English) Zbl 07745908

Combinatorica 43, No. 5, 953-962 (2023).

MSC: 52B05 52B11

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Joós, Antal; Lángi, Zsolt

Isoperimetric problems for zonotopes. (English) Zbl 1531.52011

Mathematika 69, No. 2, 508-534 (2023).

Reviewer: Serge Lawrencenko (Moskva)

MSC: 52B60 52A40 52A39

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Basit, Bushra; Lángi, Zsolt

Discrete isoperimetric problems in spaces of constant curvature. (English) Zbl 1522.52032

Mathematika 69, No. 1, 33-50 (2023).

MSC: 52B60 52A55 52B11

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Black, Alexander E.; De Loera, Jesús A.; Lütjeharms, Niklas; Sanyal, Raman

The polyhedral geometry of pivot rules and monotone paths. (English) Zbl 1522.90025

SIAM J. Appl. Algebra Geom. 7, No. 3, 623-650 (2023).

MSC: 90C05 90C57 05A05 52B12 51M20

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Hasui, Sho; Kishimoto, Daisuke; Takeda, Masahiro; Tsutaya, Mitsunobu

Tverberg’s theorem for cell complexes. (English) Zbl 1539.52011

Bull. Lond. Math. Soc. 55, No. 4, 1944-1956 (2023).

Reviewer: Arkadiy Skopenkov (Moskva)

MSC: 52B70 57Q35 55T10 55R80 52A37

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Kochdumper, Niklas; Althoff, Matthias

Constrained polynomial zonotopes. (English) Zbl 07727460

Acta Inf. 60, No. 3, 279-316 (2023).

MSC: 68Qxx

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Pilaud, Vincent; Pineda-Villavicencio, Guillermo; Ugon, Julien

Edge connectivity of simplicial polytopes. (English) Zbl 1521.51010

Eur. J. Comb. 113, Article ID 103752, 9 p. (2023).

MSC: 51M20 52B11

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Novik, Isabella; Zheng, Hailun

Reconstructing simplicial polytopes from their graphs and affine 2-stresses. (English) Zbl 1525.51014

Isr. J. Math. 255, No. 2, 891-910 (2023).

Reviewer: Lionel Pournin (Paris)

MSC: 51M20 52B05 52B11 05C65 52C25

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Heller, Jürgen (ed.)

Special issue on knowledge structures: theoretical developments and applications. (English) Zbl 1538.00019

J. Math. Psychol. 114, Article ID 102773, 3 p. (2023).

MSC: 00B15 91-06 91Exx

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Doignon, Jean-Paul

The best-worst-choice polytope on four alternatives. (English) Zbl 1520.91109

J. Math. Psychol. 114, Article ID 102769, 6 p. (2023).

MSC: 91B06

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vom Ende, Frederik; Malvetti, Emanuel; Dirr, Gunther; Schulte-Herbrüggen, Thomas

Exploring the limits of controlled Markovian quantum dynamics with thermal resources. (English) Zbl 1527.81070

Open Syst. Inf. Dyn. 30, No. 1, Article ID 2350005, 53 p. (2023).

MSC: 81Q93 62M07 37A50 22A20 80A10 81S22 81P65

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Babecki, Catherine; Thomas, Rekha R.

Graphical designs and gale duality. (English) Zbl 1517.05113

Math. Program. 200, No. 2 (B), 703-737 (2023).

MSC: 05C51 05C25 05C75 05C50 52B35 90C57 68R10 94A12

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Williams, Nicholas J.

Quiver combinatorics and triangulations of cyclic polytopes. (English) Zbl 1521.52003

Algebr. Comb. 6, No. 3, 639-660 (2023).

Reviewer: Alireza Nasr-Isfahani (Isfahan)

MSC: 52B05 05E10 52B11 16G20

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Castillo, Federico; Labbé, Jean-Philippe; Liebert, Julia; Padrol, Arnau; Philippe, Eva; Schilling, Christian

An effective solution to convex 1-body \(N\)-representability. (English) Zbl 1530.81148

Ann. Henri Poincaré 24, No. 7, 2241-2321 (2023).

MSC: 81V45 81R05 81V73 81V74 47L07 52A27 90C25 52B12

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Nevo, Eran

Embedding divisor and semi-prime testability in \(f\)-vectors of polytopes. (English) Zbl 1516.52012

Discrete Comput. Geom. 70, No. 1, 297-303 (2023).

MSC: 52B05

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Backlinks: MO

Gouveia, João; Macchia, Antonio; Wiebe, Amy

Combining realization space models of polytopes. (English) Zbl 1509.52013

Discrete Comput. Geom. 69, No. 2, 505-542 (2023).

MSC: 52B99 52B11 15B48 05E45 14P10

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Saunderson, James; Chandrasekaran, Venkat

Terracini convexity. (English) Zbl 1508.52002

Math. Program. 198, No. 1 (A), 399-441 (2023).

MSC: 52A20 52A22 52B12 90C22

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Göring, Frank; Winter, Martin

The edge-transitive polytopes that are not vertex-transitive. (English) Zbl 1511.52014

Ars Math. Contemp. 23, No. 2, Paper No. 1, 29 p. (2023).

Reviewer: Frieder Ladisch (Rostock)

MSC: 52B15 52B11 52B10 51M20 05C20

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Moriguchi, Satoko; Murota, Kazuo

Note on the polyhedral description of the Minkowski sum of two L-convex sets. (English) Zbl 1505.52010

Japan J. Ind. Appl. Math. 40, No. 1, 223-263 (2023).

MSC: 52A41 90C27 90C25

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Scheucher, Manfred

Many order types on integer grids of polynomial size. (English) Zbl 1507.52012

Comput. Geom. 109, Article ID 101924, 6 p. (2023).

Reviewer: C. P. Anil Kumar (Andhra Pradesh)

MSC: 52C10 52C99

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Kabluchko, Zakhar

Face numbers of high-dimensional Poisson zero cells. (English) Zbl 1501.60009

Proc. Am. Math. Soc. 151, No. 1, 401-415 (2023).

MSC: 60D05 52A23 52A22 52B11 52B05 60G55 33E20

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Gubeladze, Joseph

Normal polytopes: between discrete, continuous, and random. (English) Zbl 07584336

J. Pure Appl. Algebra 227, No. 2, Article ID 107187, 12 p. (2023).

MSC: 06A11 11P21 52B20

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Adeyemo, Praise

On the lattice points of dilations of the standard 2-simplex and the Grassmannian \(\mathrm{Gr}(2,n)\). (English) Zbl 1535.14115

J. Niger. Math. Soc. 41, No. 3, 235-244 (2022).

MSC: 14M15 14N15 05E05

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Castillo, Federico; Doolittle, Joseph; Goeckner, Bennet; Ross, Michael S.; Ying, Li

Minkowski summands of cubes. (English) Zbl 1523.52022

Bull. Lond. Math. Soc. 54, No. 3, 996-1009 (2022).

Reviewer: Peter McMullen (London)

MSC: 52B35 52B11

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Tiwary, Hans Raj

On permuting some coordinates of polytopes. (English) Zbl 1528.90230

Ljubić, Ivana (ed.) et al., Combinatorial optimization. 7th international symposium, ISCO 2022, virtual event, May 18–20, 2022. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13526, 102-114 (2022).

MSC: 90C27

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Bonchi, Filippo; Santamaria, Alessio

Convexity via weak distributive laws. (English) Zbl 07639916

Log. Methods Comput. Sci. 18, No. 4, Paper No. 8, 55 p. (2022).

MSC: 03B70 68-XX

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Kim, Sang-Hyun

Acute geodesic triangulations of manifolds. (English) Zbl 1504.57044

Ohshika, Ken’ichi (ed.) et al., In the tradition of Thurston II. Geometry and groups. Cham: Springer. 261-291 (2022).

MSC: 57R05 57Q15 57M60 20F36 30F45 52B05 65M50 57-02

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Bourni, Theodora; Langford, Mat; Tinaglia, Giuseppe

Ancient mean curvature flows out of polytopes. (English) Zbl 1509.53099

Geom. Topol. 26, No. 4, 1849-1905 (2022).

Reviewer: Gaiane Panina (Sankt-Peterburg)

MSC: 53E10 52B11 52B45 52B70

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Pineda-Villavicencio, Guillermo; Yost, David

The lower bound theorem for \(d\)-polytopes with \(2d+1\) vertices. (English) Zbl 1503.52018

SIAM J. Discrete Math. 36, No. 4, 2920-2941 (2022).

Reviewer: Gaiane Panina (Sankt-Peterburg)

MSC: 52B05 52B35 52B11

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Froncek, Dalibor; Khorsandi, Mahdi Reza; Musawi, Seyed Reza; Qiu, Jiangyi

On families of 2-nearly Platonic graphs. (English) Zbl 1499.05166

Electron. J. Graph Theory Appl. 10, No. 2, 659-684 (2022).

MSC: 05C10 05C07

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Kabluchko, Zakhar; Marynych, Alexander

Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks. (English) Zbl 1526.60012

Probab. Theory Relat. Fields 184, No. 3-4, 969-1028 (2022).

Reviewer: Ping Sun (Shenyang)

MSC: 60C05 05A16 05A18 11B73 60G50 52A22 60D05

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Sinichkin, Uriel

Enumeration of algebraic and tropical singular hypersurfaces. (English) Zbl 1511.14092

Trans. Am. Math. Soc. 375, No. 12, 8529-8580 (2022).

Reviewer: Hulya Arguz (London)

MSC: 14N10 14P05 14T90 14J17 05E14 52B20

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Škulj, Damjan

Normal cones corresponding to credal sets of lower probabilities. (English) Zbl 07611305

Int. J. Approx. Reasoning 150, 35-54 (2022).

MSC: 68T37

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Kishimoto, Daisuke; Levi, Ran

Polyhedral products over finite posets. (English) Zbl 07608276

Kyoto J. Math. 62, No. 3, 615-654 (2022).

MSC: 06A07 06A12 13F55 52B05 55U10

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Berestovskiĭ, Valeriĭ N.; Nikonorov, Yuri ĭ G.

On finite homogeneous metric spaces. (English) Zbl 1513.54095

Vladikavkaz. Mat. Zh. 24, No. 2, 51-61 (2022).

MSC: 54E35 52B15 05C10 20B05 54-02 52-02

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Bisztriczky, Tibor; Lopez-Campos, Gyivan; Oliveros, Deborah

Configured polytopes and extremal configurations. (English) Zbl 1504.52002

Ars Math. Contemp. 22, No. 4, Paper No. 8, 12 p. (2022).

Reviewer: Maria A. Hernández Cifre (Murcia)

MSC: 52A15 52B11

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Feliu, Elisenda; Telek, Máté L.

On generalizing Descartes’ rule of signs to hypersurfaces. (English) Zbl 1499.14095

Adv. Math. 408, Part A, Article ID 108582, 29 p. (2022).

Reviewer: Jaewoo Jung (Atlanta)

MSC: 14P10 90C99 12D10

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Williams, Nicholas J.

New interpretations of the higher Stasheff-Tamari orders. (English) Zbl 1496.05187

Adv. Math. 407, Article ID 108552, 49 p. (2022).

MSC: 05E10 06A07 52B11 52B12

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Pineda-Villavicencio, Guillermo; Ugon, Julien; Yost, David

Minimum number of edges of polytopes with \(2d+2\) vertices. (English) Zbl 1537.52014

Electron. J. Comb. 29, No. 3, Research Paper P3.18, 19 p. (2022).

MSC: 52B05 52B12

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Combastel, Christophe

Functional sets with typed symbols: Mixed zonotopes and polynotopes for hybrid nonlinear reachability and filtering. (English) Zbl 1497.93221

Automatica 143, Article ID 110457, 15 p. (2022).

MSC: 93E11 93C30 93B03

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Fernandez, Bastien; Sélley, Fanni M.

Conditioning problems for invariant sets of expanding piecewise affine mappings: application to loss of ergodicity in globally coupled maps. (English) Zbl 1502.37004

Nonlinearity 35, No. 8, 3991-4042 (2022).

MSC: 37A05 37A25 37D20 51M20 52B10 52B11

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Novik, Isabella; Zheng, Hailun

New families of highly neighborly centrally symmetric spheres. (English) Zbl 1491.52013

Trans. Am. Math. Soc. 375, No. 6, 4445-4475 (2022).

MSC: 52B12 52B15 57Q15

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Chen, Hao; Schlenker, Jean-Marc

Weakly inscribed polyhedra. (English) Zbl 1495.52011

Trans. Am. Math. Soc., Ser. B 9, 415-449 (2022).

Reviewer: Serge Lawrencenko (Moskva)

MSC: 52B05 53A20 52A55 51M09 52B10

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Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph

Beta-star polytopes and hyperbolic stochastic geometry. (English) Zbl 1490.60031

Adv. Math. 404, Part A, Article ID 108382, 69 p. (2022).

MSC: 60D05 60G55 52B05 51M10 52A22 52A55 60F05

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Bender, Chase; Chakrabarti, Debraj; Edholm, Luke; Mainkar, Meera

\(L^p\)-regularity of the Bergman projection on quotient domains. (English) Zbl 1495.32019

Can. J. Math. 74, No. 3, 732-772 (2022).

MSC: 32A36 32Q02

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Liu, Jingbo

Minoration via mixed volumes and Cover’s problem for general channels. (English) Zbl 1489.94007

Probab. Theory Relat. Fields 183, No. 1-2, 315-357 (2022).

MSC: 94A05 94A40 94A17 52A39 46B07

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Everitt, Brent; Turner, Paul

Deletion-restriction for sheaf homology of graded atomic lattices. (English) Zbl 1497.55010

Adv. Math. 402, Article ID 108354, 24 p. (2022).

Reviewer: Michael J. Falk (Flagstaff)

MSC: 55N35 05B35

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Cunningham, Gabe; Pellicer, Daniel; Williams, Gordon

Stratified operations on maniplexes. (English) Zbl 1487.52020

Algebr. Comb. 5, No. 2, 267-287 (2022).

MSC: 52B15 05E18 52B05 51M20

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Grigsby, J. Elisenda; Lindsey, Kathryn

On transversality of bent hyperplane arrangements and the topological expressiveness of ReLU neural networks. (English) Zbl 1527.68205

SIAM J. Appl. Algebra Geom. 6, No. 2, 216-242 (2022).

MSC: 68T07 52B70 52C35 57Q99 57R70

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Hou-Liu, Jason; Browne, Ryan P.

Chimeral clustering. (English) Zbl 07512358

J. Classif. 39, No. 1, 171-190 (2022).

MSC: 62H30

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Cano, Javier; Tóth, Csaba D.; Urrutia, Jorge; Viglietta, Giovanni

Edge guards for polyhedra in three-space. (English) Zbl 1524.68403

Comput. Geom. 104, Article ID 101859, 9 p. (2022).

MSC: 68U05 52B05 52B10

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Byrnes, Kevin M.

Isomorphism of maximum length circuit codes. (English) Zbl 1495.94141

Des. Codes Cryptography 90, No. 4, 835-850 (2022).

MSC: 94B25 94B65

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Frankl, Nóra

Large equilateral sets in subspaces of \(\ell_\infty^n\) of small codimension. (English) Zbl 1500.46013

Discrete Comput. Geom. 67, No. 3, 882-893 (2022).

Reviewer: David Yost (Ballarat)

MSC: 46B20 52A21

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Bogart, Tristram; Gouveia, João; Torres, Juan Camilo

An algebraic approach to projective uniqueness with an application to order polytopes. (English) Zbl 1487.13055

Discrete Comput. Geom. 67, No. 2, 462-491 (2022).

Reviewer: Jaewoo Jung (Atlanta)

MSC: 13P10 52B12 06A07 52C25

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Pineda-Villavicencio, Guillermo; Schröter, Benjamin

Reconstructibility of matroid polytopes. (English) Zbl 1484.52008

SIAM J. Discrete Math. 36, No. 1, 490-508 (2022).

MSC: 52B11 05C60 52B40

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Vourdas, A.

Markov chains with doubly stochastic transition matrices and application to a sequence of non-selective quantum measurements. (English) Zbl 07486063

Physica A 593, Article ID 126911, 17 p. (2022).

MSC: 82-XX

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Hliněný, Petr

A short proof of Euler-Poincaré formula. (English) Zbl 07912970

Nešetřil, Jaroslav (ed.) et al., Extended abstracts EuroComb 2021. European conference on combinatorics, graph theory and applications, virtual, September 6–10, 2021. Cham: Birkhäuser. Trends Math., Res. Perspect. CRM Barc. 14, 92-96 (2021).

MSC: 05Cxx

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Rastanawi, Laith; Sinn, Rainer; Ziegler, Günter M.

On the dimensions of the realization spaces of polytopes. (English) Zbl 1522.52029

Mathematika 67, No. 2, 342-365 (2021).

MSC: 52B11 52B05

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Berestovskiĭ, Valeriĭ Nikolaevich; Nikonorov, Yuriĭ Gennad’evich

Finite homogeneous subspaces of Euclidean spaces. (Russian) Zbl 1514.51008

Mat. Tr. 24, No. 1, 3-34 (2021).

Reviewer: Sergey Ludkovsky (Moskva)

MSC: 51M20 51M05

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Han, Kyung Hoon; Kye, Seung-Hyeok

Polytope structures for Greenberger-Horne-Zeilinger diagonal states. (English) Zbl 1519.81068

J. Phys. A, Math. Theor. 54, No. 45, Article ID 455302, 13 p. (2021).

MSC: 81P40 81P15

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Bastidas, José

The polytope algebra of generalized permutahedra. (English) Zbl 1505.05154

Sémin. Lothar. Comb. 85B, Article 61, 12 p. (2021).

MSC: 05E16 52C35 52B05 18M80

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Castillo, Federico; Doolittle, Joseph; Goeckner, Bennet; Ross, Michael S.; Ying, Li

Minkowski summands of cubes. (English) Zbl 1510.52009

Sémin. Lothar. Comb. 85B, Article 59, 12 p. (2021).

Reviewer: Peter McMullen (London)

MSC: 52B35 52B11

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Gévay, Gábor; Schulte, Egon

Realizations of lattice quotients of Petrie-Coxeter polyhedra. (English) Zbl 1498.51021

Art Discrete Appl. Math. 4, No. 3, Paper No. P3.04, 16 p. (2021).

MSC: 51M20 52B70 52B20

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Xue, Lei

A proof of Grünbaum’s lower bound conjecture for general polytopes. (English) Zbl 1493.52013

Isr. J. Math. 245, No. 2, 991-1000 (2021).

Reviewer: Lionel Pournin (Paris)

MSC: 52B05 52B11 52A20

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Kim, Jin Hong; Nari, Park

Flag vector pairs, fatness, and their bounds for 4-polytopes. (English) Zbl 1486.52024

Contrib. Discrete Math. 16, No. 3, 9-30 (2021).

Reviewer: Lionel Pournin (Paris)

MSC: 52B05 52B11

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Das, Sandip; Dev, Subhadeep Ranjan; Sarvottamananda, Swami

A worst-case optimal algorithm to compute the Minkowski sum of convex polytopes. (English) Zbl 1541.68387

Mudgal, Apurva (ed.) et al., Algorithms and discrete applied mathematics. 7th international conference, CALDAM 2021, Rupnagar, India, February 11–13, 2021. Proceedings. Lect. Notes Comput. Sci. 12601, 179-195 (2021).

MSC: 68U05 52A20 52B05 52B55 68W40

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Bastidas, Jose

The polytope algebra of generalized permutahedra. (English) Zbl 1480.05141

Algebr. Comb. 4, No. 5, 909-946 (2021).

MSC: 05E16 52C35 52B05 18M80

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Fedoseev, Denis A.; Manturov, Vassily O.; Nikonov, Igor M.

Manifolds of triangulations, braid groups of manifolds, and the groups \(\Gamma_n^k\). (English) Zbl 1489.57018

Garanzha, Vladimir A. (ed.) et al., Numerical geometry, grid generation and scientific computing. Proceedings of the 10th international conference, NUMGRID 2020 / Delaunay 130, celebrating the 130th anniversary of Boris Delaunay, Moscow, Russia, November 25–27, 2020. Cham: Springer. Lect. Notes Comput. Sci. Eng. 143, 13-36 (2021).

Reviewer: Wolfgang Kühnel (Stuttgart)

MSC: 57Q15 52B99 14M25 52-02 53C22 57-02 57K10 13-01

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Burnak, Baris; Katz, Justin; Pistikopoulos, Efstratios N.

A space exploration algorithm for multiparametric programming via Delaunay triangulation. (English) Zbl 1473.90105

Optim. Eng. 22, No. 1, 555-579 (2021).

MSC: 90C20 90C31 90C27

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Manturov, Vassily O.; Fedoseev, Denis A.; Kim, Seongjeong; Nikonov, Igor M.

On groups \(G_n^k\) and \(\Gamma_n^k\): a study of manifolds, dynamics, and invariants. (English) Zbl 1489.57004

Bull. Math. Sci. 11, No. 2, Article ID 2150004, 155 p. (2021).

Reviewer: Valeriy Bardakov (Novosibirsk)

MSC: 57K10 20F36 37E99 20C99 57Q15

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Danielson, Claus

Terminal-cost design for model predictive control with linear stage-costs: a set-theoretic method. (English) Zbl 1472.93036

Optim. Control Appl. Methods 42, No. 4, 943-964 (2021).

MSC: 93B45 93C05 93D05

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Akiyama, Shigeki

Minimum polyhedron with \(n\) vertices. (English) Zbl 1475.52025

Hiroshima Math. J. 51, No. 2, 111-137 (2021).

Reviewer: Peter McMullen (London)

MSC: 52B60 52B55 52B10

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Setiabrata, Linus

Faces of root polytopes. (English) Zbl 1473.05334

SIAM J. Discrete Math. 35, No. 3, 2093-2114 (2021).

MSC: 05E45 52B05 52B20 52C07

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Found 328 Documents (Results 1–100)

On a convex geometric connection to threshold logic. (English) Zbl 07924269

The merging operation and \((d-i)\)-simplicial \(i\)-simple \(d\)-polytopes. (English) Zbl 07923244

On the genera of moment-angle manifolds associated with dual-neighborly polytopes: combinatorial formulas and sequences. (English) Zbl 07921291

Underlying flag polymatroids. (English) Zbl 07915897

Partitions of vertices and facets in trees and stacked simplicial complexes. (English) Zbl 07888734

Toric rings of \((0, 1)\)-polytopes with small rank. (English) Zbl 07870762

Divisibility of spheres with measurable pieces. (English) Zbl 07861325

The characterization of \(( n- 1)\)-spheres with \(n+ 4\) vertices having maximal Buchstaber number. (English) Zbl 07856542

Non-simplicial quantum toric varieties. (English) Zbl 07823125

Eigenpolytope universality and graphical designs. (English) Zbl 1533.05146

Compact hyperbolic Coxeter four-dimensional polytopes with eight facets. (English) Zbl 07815454

On the asymptotic geometry of finite-type \(k\)-surfaces in three-dimensional hyperbolic space. (English) Zbl 1537.30022

Attractor-repeller construction of Shintani domains for totally complex quartic fields. (English) Zbl 07802058

Classical representability for partial Boolean structures in quantum mechanics. (English) Zbl 07918047

Representing polynomial of St-Connectivity. (English) Zbl 07908422

Face numbers: the upper bound side of the story. (English) Zbl 1536.05494

Pairs of mutually complementary 2-dimensional simplicial polyhedra: interesting examples. (Russian. English summary) Zbl 1534.51015

Formation of a nontrivial finite-time stable attractor in a class of polyhedral sweeping processes with periodic input. (English) Zbl 1533.34025

Angle sums of random polytopes. (English) Zbl 1530.52004

Finite orbits for large groups of automorphisms of projective surfaces. (English) Zbl 07782529

A theory of spherical diagrams. (English) Zbl 1531.68156

The GenCol algorithm for high-dimensional optimal transport: general formulation and application to barycenters and Wasserstein splines. (English) Zbl 07768238

Ehrhart theory of paving and panhandle matroids. (English) Zbl 1526.05028

Maximum rectilinear crossing number of uniform hypergraphs. (English) Zbl 1525.05139

Bipartite perfect matching as a real polynomial. (English) Zbl 1536.05365

Hopf monoids and generalized permutahedra. (English) Zbl 07753149

Differentially fixed ideals in affine semigroup rings. (English) Zbl 1537.13043

A positive answer to Bárány’s question on face numbers of polytopes. (English) Zbl 07745908

Isoperimetric problems for zonotopes. (English) Zbl 1531.52011

Discrete isoperimetric problems in spaces of constant curvature. (English) Zbl 1522.52032

The polyhedral geometry of pivot rules and monotone paths. (English) Zbl 1522.90025

Tverberg’s theorem for cell complexes. (English) Zbl 1539.52011

Constrained polynomial zonotopes. (English) Zbl 07727460

Edge connectivity of simplicial polytopes. (English) Zbl 1521.51010

Reconstructing simplicial polytopes from their graphs and affine 2-stresses. (English) Zbl 1525.51014

Special issue on knowledge structures: theoretical developments and applications. (English) Zbl 1538.00019

The best-worst-choice polytope on four alternatives. (English) Zbl 1520.91109

Exploring the limits of controlled Markovian quantum dynamics with thermal resources. (English) Zbl 1527.81070

Graphical designs and gale duality. (English) Zbl 1517.05113

Quiver combinatorics and triangulations of cyclic polytopes. (English) Zbl 1521.52003

An effective solution to convex 1-body \(N\)-representability. (English) Zbl 1530.81148

Embedding divisor and semi-prime testability in \(f\)-vectors of polytopes. (English) Zbl 1516.52012

Combining realization space models of polytopes. (English) Zbl 1509.52013

Terracini convexity. (English) Zbl 1508.52002

The edge-transitive polytopes that are not vertex-transitive. (English) Zbl 1511.52014

Note on the polyhedral description of the Minkowski sum of two L-convex sets. (English) Zbl 1505.52010

Many order types on integer grids of polynomial size. (English) Zbl 1507.52012

Face numbers of high-dimensional Poisson zero cells. (English) Zbl 1501.60009

Normal polytopes: between discrete, continuous, and random. (English) Zbl 07584336

On the lattice points of dilations of the standard 2-simplex and the Grassmannian \(\mathrm{Gr}(2,n)\). (English) Zbl 1535.14115

Minkowski summands of cubes. (English) Zbl 1523.52022

On permuting some coordinates of polytopes. (English) Zbl 1528.90230

Convexity via weak distributive laws. (English) Zbl 07639916

Acute geodesic triangulations of manifolds. (English) Zbl 1504.57044

Ancient mean curvature flows out of polytopes. (English) Zbl 1509.53099

The lower bound theorem for \(d\)-polytopes with \(2d+1\) vertices. (English) Zbl 1503.52018

On families of 2-nearly Platonic graphs. (English) Zbl 1499.05166

Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks. (English) Zbl 1526.60012

Enumeration of algebraic and tropical singular hypersurfaces. (English) Zbl 1511.14092

Normal cones corresponding to credal sets of lower probabilities. (English) Zbl 07611305

Polyhedral products over finite posets. (English) Zbl 07608276

On finite homogeneous metric spaces. (English) Zbl 1513.54095

Configured polytopes and extremal configurations. (English) Zbl 1504.52002

On generalizing Descartes’ rule of signs to hypersurfaces. (English) Zbl 1499.14095

New interpretations of the higher Stasheff-Tamari orders. (English) Zbl 1496.05187

Minimum number of edges of polytopes with \(2d+2\) vertices. (English) Zbl 1537.52014

Functional sets with typed symbols: Mixed zonotopes and polynotopes for hybrid nonlinear reachability and filtering. (English) Zbl 1497.93221

Conditioning problems for invariant sets of expanding piecewise affine mappings: application to loss of ergodicity in globally coupled maps. (English) Zbl 1502.37004

New families of highly neighborly centrally symmetric spheres. (English) Zbl 1491.52013

Weakly inscribed polyhedra. (English) Zbl 1495.52011

Beta-star polytopes and hyperbolic stochastic geometry. (English) Zbl 1490.60031

\(L^p\)-regularity of the Bergman projection on quotient domains. (English) Zbl 1495.32019

Minoration via mixed volumes and Cover’s problem for general channels. (English) Zbl 1489.94007

Deletion-restriction for sheaf homology of graded atomic lattices. (English) Zbl 1497.55010