Results 101 to 110 of about 225 (160)

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

and

, 2010
. A centrosymmetric permutation is one which is invariant under the reversecomplement operation, or equivalently one whose associated standard Young tableaux under the Robinson-Schensted algorithm are both invariant under the Schützenberger involution ...
Matteo Silimbani, Mark F. Flanagan
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

Parity Reversing Involutions on Plane Trees and 2-Motzkin Paths

, 2005
. The problem of counting plane trees with n edges and an even or an odd number of leaves was studied by Eu, Liu and Yeh, in connection with an identity on coloring nets due to Stanley.
Louis W. Shapiro, Laura L. M. Yang, William Y. C. Chen   +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

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  

Colored multiset Eulerian polynomials [PDF]

Colored multiset Eulerian polynomials are a common generalization of MacMahon's multiset Eulerian polynomials and the colored Eulerian polynomials, both of which are known to satisfy well-studied distributional properties including real-rootedness, log ...
Solus, Liam, Deligeorgaki, Danai, Han, Bin, Han, Bin,, Solus, Liam,, Deligeorgaki, Danai,   +5 more
core   +1 more source

Combinatorics Of RNA Secondary Structures

, 1996
Secondary structures of polynucleotides can be view as a certain class of planar vertex-labeled graphs. We construct recursion formulae enumerating various sub-classes of these graphs as well as certain structural elements (sub-graphs).
Ivo L. Hofacker, Peter Schuster, Peter F. Stadler   +2 more
core  

Compositions of n as alternating sequences of weakly increasing and strictly decreasing partitions

Open Mathematics, 2012
Blecher Aubrey, Brennan Charlotte, Mansour Toufik   +2 more
doaj   +1 more source