Results 1 to 10 of about 140,956 (86)

Integrable Combinatorics [PDF]

, 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
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Short proofs of some extremal results [PDF]

, 2013
We prove several results from different areas of extremal combinatorics, giving complete or partial solutions to a number of open problems. These results, coming from areas such as extremal graph theory, Ramsey theory and additive combinatorics, have ...
Beck, BENNY SUDAKOV, Butterfield, DAVID CONLON, Erdős, Fox, Grytczuk, Hilbert, JACOB FOX, Kowalik, Wallis, Wilson   +11 more
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Toric degenerations of Grassmannians and Schubert varieties from matching field tableaux

, 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
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Hypernatural Numbers as Ultrafilters [PDF]

, 2015
In this paper we present a use of nonstandard methods in the theory of ultrafilters and in related applications to combinatorics of ...
A Blass, C Puritz, C Puritz, CC Chang, D Ballard, G Cherlin, G Choquet, H Cartan, HJ Keisler, J Hirshfeld, J van Mill, K Hrbác̆ek, K Kunen, L Haddad, L Luperi Baglini, M Beiglböck, M Nasso Di, M Nasso Di, N Hindman, N Hindman, N Hindman, N Hindman, P Komjáth, R Ellis, R Graham, V Kanovei, WAJ Luxemburg, WW Comfort   +27 more
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Hopf algebras and the combinatorics of connected graphs in quantum field theory

, 2008
In this talk, we are concerned with the formulation and understanding of the combinatorics of time-ordered n-point functions in terms of the Hopf algebra of field operators.
Mestre, Angela, Oeckl, Robert
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Smith Normal Form in Combinatorics [PDF]

, 2015
This paper surveys some combinatorial aspects of Smith normal form, and more generally, diagonal form. The discussion includes general algebraic properties and interpretations of Smith normal form, critical groups of graphs, and Smith normal form of ...
Stanley, Richard P.
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Alexander Duality and Rational Associahedra [PDF]

, 2013
A recent pair of papers of Armstrong, Loehr, and Warrington and Armstrong, Williams, and the author initiated the systematic study of {\em rational Catalan combinatorics} which is a generalization of Fuss-Catalan combinatorics (which is in turn a ...
Rhoades, Brendon
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Combinatorics of Toric Arrangements

, 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
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Combinatorics of embeddings [PDF]

, 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.
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Stable Lengths on the pants graph are rational [PDF]

, 2014
For the pants graph, there is little known about the behaviour of geodesics, as opposed to quasigeodesics. Brock-Masur-Minsky showed that geodesics or geodesic segments connecting endpoints satisfying a bounded combinatorics condition, such as the stable/
Irmer, Ingrid
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