Results 11 to 20 of about 171,184 (277)
Refinements and Symmetries of the Morris identity for volumes of flow polytopes
Comptes Rendus. Mathématique, 2021 Flow polytopes are an important class of polytopes in combinatorics whose lattice points and volumes have interesting properties and relations. The Chan–Robbins–Yuen (CRY) polytope is a flow polytope with normalized volume equal to the product of ...
Morales, Alejandro H., Shi, William
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The oriented swap process and last passage percolation
, 2021 We present new probabilistic and combinatorial identities relating three random processes: the oriented swap process on $n$ particles, the corner growth process, and the last passage percolation model.
Bisi, Elia +3 more
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Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes [PDF]
, 2019 We employ the $1/2$-spin tautological relations to provide a particular combinatorial identity. We show that this identity is a statement equivalent to Faber's formula for proportionalities of kappa-classes on $\mathcal{M}_g$, $g\geq 2$.
Garcia-Failde, Elba +3 more
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International Journal of Mathematics and Mathematical Sciences, 2001 We prove a combinatorial identity which arose from considering the relation rp(x,y,z)=(x+y−z)p−(xp+yp−zp) in connection with Fermat's last theorem.
Joseph Sinyor +2 more
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Explicit enumeration of triangulations with multiple boundaries [PDF]
, 2007 We enumerate rooted triangulations of a sphere with multiple holes by the total number of edges and the length of each boundary component.
Krikun, Maxim
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A new triple sum combinatorial identity
International Journal of Mathematics and Mathematical Sciences, 2002 We prove a new triple sum combinatorial identity derived from rp(x,y,z)=(x+y−z)p−(xp+yp−zp), extending a previous result by Sinyor et al.
Joseph Sinyor, Akalu Tefera
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A Nekrasov-Okounkov type formula for affine $\widetilde{C}$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 In 2008, Han rediscovered an expansion of powers of Dedekind $\eta$ function due to Nekrasov and Okounkov by using Macdonald's identity in type $\widetilde{A}$.
Mathias Pétréolle
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, 1999 Recently the second named author discovered a combinatorial identity in the context of vertex representations of quantum Kac-Moody algebras. We give a direct and elementary proof of this identity. Our method is to show a related identity of distributions.
Ding, Jintai, Jing, Naihuan
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A Combinatorial Proof for Cayley's Identity [PDF]
The Electronic Journal of Combinatorics, 2014 In a recent paper, Caracciolo, Sokal and Sportiello presented, inter alia, an algebraic/combinatorial proof for Cayley's identity. The purpose of the present paper is to give a "purely combinatorial" proof for this identity; i.e., a proof involving only combinatorial arguments.
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A Combinatorial proof of a partition identity of Andrews and Stanley
International Journal of Mathematics and Mathematical Sciences, 2004 In his paper, On a partition function of Richard Stanley, George Andrews proves a certain partition identity analytically and asks for a combinatorial proof.This paper provides the requested combinatorial proof.
Andrew V. Sills
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