Results 101 to 110 of about 208 (162)

Weighted cylindric partitions. [PDF]

J Algebr Comb (Dordr), 2022
Bridges W, Uncu AK.
europepmc   +1 more source

On the validations of the asymptotic matching conjectures

, 2020
In this paper we review the asymptotic matching conjectures for rregular bipartite graphs, and their connections in estimating the monomerdimer entropies in d-dimensional integer lattice and Bethe lattices.
S Friedland, E Krop, K Markström, P H Lundow   +3 more
core  

Counting conjugacy classes of elements of finite order in exceptional Lie groups [PDF]

This paper continues the study of two numbers that are associated with Lie groups. The first number is \(N(G,m)\), the number of conjugacy classes of elements in \(G\) whose order divides \(m\).
Friedmann, Tamar, He, Qidong
core   +1 more source

Some theorems on the q-analogue of the generalized stirling numbers

, 2011
In this paper, we establish more properties for the q-analogue of the unied generalization of Stirling numbers including the vertical and horizontal recurrence relations, and the rational generating function.
Husna Zayadi
core  

Staircase patterns in words: subsequences, subwords, and separation number. [PDF]

Eur J Comb, 2020
Mansour T, Rastegar R, Roitershtein A.
europepmc   +1 more source

Combinatorial parameters in bargraphs

, 2016
Bargraphs are non-intersecting lattice paths in N2 0 with 3 allowed types of steps; up (0, 1), down (0,−1) and horizontal (1, 0). They start at the origin with an up step and terminate immediately upon return to the x-axis.
Brennan, Charlotte, Knopfmacher, Arnold, Blecher, Aubrey   +2 more
core  

The inner site-perimeter of compositions

, 2020
Compositions of n are finite sequences of positive integers (σi)ki=1 such that                                      σ1 + σ2 + , , , + σk = n.The σ's are called parts.
Brennan, Charlotte, Knopfmacher, Arnold, Blecher, Aubrey   +2 more
core  

Alternating sign matrices with reflective symmetry and plane partitions: $n+3$ pairs of equivalent statistics and a Cauchy-type identity

Forum of Mathematics, Sigma
Vertically symmetric alternating sign matrices (VSASMs) of order $2n+1$ are known to be equinumerous with lozenge tilings of a hexagon with side lengths $2n+2,2n,2n+2,2n,2n+2,2n$ and a central triangular hole of size $2$ that exhibit
Ilse Fischer, Hans Höngesberg
doaj   +1 more source

Enumeration of coalescent histories for caterpillar species trees and p-pseudocaterpillar gene trees. [PDF]

Adv Appl Math, 2021
Alimpiev E, Rosenberg NA.
europepmc   +1 more source

Continued fractions using a Laguerre digraph interpretation of the Foata-Zeilberger bijection and its variants [PDF]

In the combinatorial theory of continued fractions, the Foata-Zeilberger bijection and its variants have been extensively used to derive various continued fractions enumerating several (sometimes infinitely many) simultaneous statistics on permutations ...
Deb, Bishal
core   +1 more source