Results 1 to 10 of about 143,013 (228)

Supersymmetry and Combinatorics [PDF]

open access: yesCommunications in Mathematical Physics, 2006
We show how a recently proposed supersymmetric quantum mechanics model leads to non-trivial results/conjectures on the combinatorics of binary necklaces and linear-feedback shift-registers.
Onofri, E., Veneziano, G., Wosiek, J.
core   +8 more sources

Integrable Combinatorics [PDF]

open access: yesProceedings of the International Congress of Mathematicians (ICM 2018), 2012
We review various combinatorial problems with underlying classical or quantum integrable structures. (Plenary talk given at the International Congress of Mathematical Physics, Aalborg, Denmark, August 10, 2012.)Comment: 21 pages, 16 figures, proceedings ...
Di Francesco, Philippe
core   +4 more sources

Positional Games [PDF]

open access: yes, 2014
Positional games are a branch of combinatorics, researching a variety of two-player games, ranging from popular recreational games such as Tic-Tac-Toe and Hex, to purely abstract games played on graphs and hypergraphs.
Krivelevich, Michael
core   +1 more source

Toric degenerations of Grassmannians and Schubert varieties from matching field tableaux

open access: yes, 2020
We study the combinatorics of Gr\"obner degenerations of Grassmannians and the Schubert varieties inside them. We provide a family of binomial ideals whose combinatorics is governed by tableaux induced by matching fields in the sense of Sturmfels and ...
Clarke, Oliver, Mohammadi, Fatemeh
core   +1 more source

Hopf Algebras in Combinatorics

open access: yes, 2020
These notes -- originating from a one-semester class by their second author at the University of Minnesota -- survey some of the most important Hopf algebras appearing in combinatorics.
Grinberg, Darij, Reiner, Victor
core   +1 more source

Open questions about Ramsey-type statements in reverse mathematics [PDF]

open access: yes, 2015
Ramsey's theorem states that for any coloring of the n-element subsets of N with finitely many colors, there is an infinite set H such that all n-element subsets of H have the same color.
Patey, Ludovic
core   +3 more sources

Combinatorics of embeddings [PDF]

open access: yes, 2011
We offer the following explanation of the statement of the Kuratowski graph planarity criterion and of 6/7 of the statement of the Robertson-Seymour-Thomas intrinsic linking criterion.
Melikhov, Sergey A.
core  

Combinatorics of Toric Arrangements

open access: yes, 2018
In this paper we build an Orlik-Solomon model for the canonical gradation of the cohomology algebra with integer coefficients of the complement of a toric arrangement.
Pagaria, Roberto
core   +1 more source

Combinatorics in the Art of the Twentieth Century [PDF]

open access: yes, 2017
This paper is motivated by a question I asked myself: How can combinatorial structures be used in a work of art? Immediately, other questions arose: Whether there are artists that work or think combinatorially?
Barrière Figueroa, Eulalia
core  

Incidence combinatorics of resolutions

open access: yes, 2000
We introduce notions of combinatorial blowups, building sets, and nested sets for arbitrary meet-semilattices. This gives a common abstract framework for the incidence combinatorics occurring in the context of De Concini-Procesi models of subspace ...
Dmitry, Eva-maria Feichtner, N. Kozlov
core   +4 more sources

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