Results 31 to 40 of about 1,231 (95)
Discrete Mathematics & Theoretical Computer Science, 2017 Given a set $Y$ of decreasing plane trees and a permutation $\pi$, how many trees in $Y$ have $\pi$ as their postorder? Using combinatorial and geometric constructions, we provide a method for answering this question for certain sets $Y$ and all ...
Colin Defant
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Some identities for enumerators of circulant graphs
, 2001 We establish analytically several new identities connecting enumerators of different types of circulant graphs of prime, twice prime and prime-squared orders.
Liskovets, Valery A.
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Infinite products over visible lattice points
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 637-654, 1994., 1993 About fifty new multivariate combinatorial identities are given, connected with partition theory, prime products, and Dirichlet series. Connections to Lattice Sums in Chemistry and Physics are alluded to also.
Geoffrey B. Campbell
wiley +1 more source
A bijection between the set of nesting-similarity classes and L & P matchings [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 Matchings are frequently used to model RNA secondary structures; however, not all matchings can be realized as RNA motifs. One class of matchings, called the L $\&$ P matchings, is the most restrictive model for RNA secondary structures in the Largest ...
Megan A. Martinez, Manda Riehl
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Fully degenerate poly-Bernoulli numbers and polynomials
Open Mathematics, 2016 In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers.
Kim Taekyun, Kim Dae San, Seo Jong-Jin
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Consequences of a sextuple‐product identity
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 3, Page 545-549, 1987., 1987 A sextuple‐product identity, which essentially results from squaring the classical Gauss‐Jacobi triple‐product identity, is used to derive two trigonometrical identities. Several special cases of these identities are then presented and discussed.
John A. Ewell
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Classical pattern distributions in $\mathcal{S}_{n}(132)$ and $\mathcal{S}_{n}(123)$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 Classical pattern avoidance and occurrence are well studied in the symmetric group $\mathcal{S}_{n}$. In this paper, we provide explicit recurrence relations to the generating functions counting the number of classical pattern occurrence in the set of ...
Dun Qiu, Jeffrey Remmel
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Proof of two conjectures of Z.-W. Sun on congruences for Franel numbers
, 2012 For all nonnegative integers n, the Franel numbers are defined as $$ f_n=\sum_{k=0}^n {n\choose k}^3.$$ We confirm two conjectures of Z.-W. Sun on congruences for Franel numbers: \sum_{k=0}^{n-1}(3k+2)(-1)^k f_k &\equiv 0 \pmod{2n^2}, \sum_{k=0}^{p-1}(3k+
Calkin N. J. +11 more
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Consecutive Patterns in Inversion Sequences [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 An inversion sequence of length $n$ is an integer sequence $e=e_{1}e_{2}\dots e_{n}$ such that $0\leq e_{i}
Juan S. Auli, Sergi Elizalde
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The log-convexity of the poly-Cauchy numbers
, 2016 In 2013, Komatsu introduced the poly-Cauchy numbers, which generalize Cauchy numbers. Several generalizations of poly-Cauchy numbers have been considered since then. One particular type of generalizations is that of multiparameter-poly-Cauchy numbers. In
Komatsu, Takao, Zhao, Feng-Zhen
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