Found 169 Documents (Results 1–100)
A geometric proof for the root-independence of the greedoid polynomial of Eulerian branching greedoids. (English) Zbl 1540.05068
An axiomatization of matroids and oriented matroids as conditional independence models. (English) Zbl 1539.05011
Adjoints of matroids. (English) Zbl 1535.05055
Color-dressed generalized biadjoint scalar amplitudes: local planarity. (English) Zbl 07819247
Reviewer: Ngoc Mai Tran (Austin)
Geometric, algebraic and topological combinatorics. Abstracts from the workshop held December 10–15, 2023. (English) Zbl 07921233
The positive Grassmannian, the amplituhedron, and cluster algebras. (English) Zbl 07821709
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). 4710-4737 (2023).
The geometry of geometries: matroid theory, old and new. (English) Zbl 1535.05051
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). 4510-4541 (2023).
A SAT attack on Erdős-Szekeres numbers in \(\mathbb{R}^d\) and the empty hexagon theorem. (English) Zbl 1535.52016
Purity and separation for oriented matroids. (English) Zbl 1531.52001
Memoirs of the American Mathematical Society 1439. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6700-5/pbk; 978-1-4704-7594-9/ebook). v, 79 p. (2023).
Reviewer: Kolja Knauer (Barcelona)
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)
The \(m=2\) amplituhedron and the hypersimplex: signs, clusters, tilings, Eulerian numbers. (English) Zbl 1531.05246
The visible-volume function of a set of cameras is continuous, piecewise rational, locally Lipschitz, and semi-algebraic in all dimensions. (English) Zbl 1523.52033
Lattice of integer flows and the poset of strongly connected orientations for regular matroids. (English) Zbl 1530.05024
Reviewer: Kelly J. Pearson (Murray)
Geometric bijections between spanning subgraphs and orientations of a graph. (English) Zbl 1521.05069
Triangulations of Grassmannians and flag manifolds. (English) Zbl 1526.57020
Reviewer: Branislav Prvulović (Beograd)
Projections and angle sums of belt polytopes and permutohedra. (English) Zbl 1528.52005
Reviewer: Geir Agnarsson (Fairfax)
The first higher Stasheff-Tamari orders are quotients of the higher Bruhat orders. (English) Zbl 1515.06006
Many order types on integer grids of polynomial size. (English) Zbl 1507.52012
Reviewer: C. P. Anil Kumar (Andhra Pradesh)
A generalization of combinatorial identities for stable discrete series constants. (English) Zbl 07556730
On Tutte polynomial expansion formulas in perspectives of matroids and oriented matroids. (English) Zbl 1489.05017
Congruence normality of simplicial hyperplane arrangements via oriented matroids. (English) Zbl 1487.52030
Reviewer: Piotr Pokora (Kraków)
Hypersimplicial subdivisions. (English) Zbl 1476.52008
On a smallest topological triangle free \((n_4)\) point-line configuration. (English) Zbl 1498.52037
Cell complexes, poset topology and the representation theory of algebras arising in algebraic combinatorics and discrete geometry. (English) Zbl 1512.05001
Memoirs of the American Mathematical Society 1345. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5042-7/pbk; 978-1-4704-6914-6/ebook). vi, 135 p. (2021).
Reviewer: Jaak Henno (Tallinn)
Grassmannians and pseudosphere arrangements. (Grassmanniennes et arrangements de pseudo-sphères.) (English. French summary) Zbl 1468.52016
A universality theorem for stressable graphs in the plane. (English) Zbl 1464.52013
Reviewer: Piotr Pokora (Kraków)
Two extensions of the Erdős-Szekeres problem. (English) Zbl 1454.52015
Reviewer: László A. Székely (Columbia)
The facial weak order on hyperplane arrangements. (English. French summary) Zbl 1448.52020
Reviewer: Piotr Pokora (Kraków)
MSC:
52C35
Hyperplane neural codes and the polar complex. (English) Zbl 1451.92019
Baas, Nils (ed.) et al., Topological data analysis. Proceedings of the Abel symposium 2018, Geiranger, Norway, June 4–8, 2018. Cham: Springer. Abel Symp. 15, 343-369 (2020).
Reviewer: Claudia Simionescu-Badea (Wien)
A counterexample to the extension space conjecture for realizable oriented matroids. (English) Zbl 1442.52021
Reviewer: Joonhyung Kim (Jeonju)
MSC:
52C40
A two-dimensional topological representation theorem for matroid polytopes of rank 4. (English) Zbl 1437.05237
Cubillages of cyclic zonotopes. (English. Russian original) Zbl 1446.52018
Russ. Math. Surv. 74, No. 6, 1013-1074 (2019); translation from Usp. Mat. Nauk 74, No. 6, 55-118 (2019).
Reviewer: Juan G. Escudero (Oviedo)
Moment curves and cyclic symmetry for positive Grassmannians. (English) Zbl 1443.14048
Reviewer: Letterio Gatto (Torino)
On the number of circuit-cocircuit reversal classes of an oriented matroid. (English) Zbl 1405.05027
Hyperfield Grassmannians. (English) Zbl 1401.05059
Arrangements of pseudocircles: on circularizability. (English) Zbl 1520.52014
Biedl, Therese (ed.) et al., Graph drawing and network visualization. 26th international symposium, GD 2018, Barcelona, Spain, September 26–28, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11282, 555-568 (2018).
MSC:
52C30
Upper bounds on Betti numbers of tropical prevarieties. (English) Zbl 1420.14141
MSC:
14T05
52B20
Plabic graphs and zonotopal tilings. (English) Zbl 1406.52039
Reviewer: Elizaveta Zamorzaeva (Chişinău)
Schubert polynomials as integer point transforms of generalized permutahedra. (English) Zbl 1443.05179
The Cohen-Macaulayness of the bounded complex of an affine oriented matroid. (English) Zbl 1385.05030
A convolution formula for Tutte polynomials of arithmetic matroids and other combinatorial structures. (English) Zbl 1384.05062
Realizability and inscribability for simplicial polytopes via nonlinear optimization. (English) Zbl 1379.52017
Enumerating polytropes. (English) Zbl 1454.14156
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