نتایج جستجو برای: enumerative in combinatorics

تعداد نتایج: 16977528  

Journal: :Oberwolfach Reports 2019

Journal: :Notices of the American Mathematical Society 2021

2017
Alin Bostan Manuel Kauers Mark van Hoeij Peter J. Cameron Makoto Araya Masaaki Harada

To a simple graph $G=(V,E)$, we correspond a simple graph $G_{triangle,square}$ whose vertex set is ${{x,y}: x,yin V}$ and two vertices ${x,y},{z,w}in G_{triangle,square}$ are adjacent if and only if ${x,z},{x,w},{y,z},{y,w}in Vcup E$. The graph $G_{triangle,square}$ is called the $(triangle,square)$-edge graph of the graph $G$. In this paper, our ultimate goal is to provide a link between the ...

Journal: :Journal of Mathematical Sciences 2021

In the present paper, enumeration of a certain class directed lattice paths is based on analysis dynamical correlation functions exactly solvable XX0 model. This model zero anisotropy limit one basic models theory integrable systems, XXZ Heisenberg magnet. It demonstrated that considered under different boundary conditions are exponential generating various types paths, in particular, Dyck and ...

Journal: :Bulletin of the American Mathematical Society 2001

Journal: :Bulletin of the American Mathematical Society 2017

Journal: :Bulletin of the American Mathematical Society 1987

2009
Richard P. Stanley

Permutations of finite sets play a central role in algebraic and enumerative combinatorics. In addition to having many interesting enumerative properties per se, permutations also arise in almost every area of mathematics and indeed in all the sciences. Here we will discuss three different topics involving permutations, focusing on combinatorics but also giving some hints about connections with...

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