Results 21 to 30 of about 271 (37)

On the unimodality of independence polynomials of some graphs [PDF]

open access: yes, 2010
In this paper we study unimodality problems for the independence polynomial of a graph, including unimodality, log-concavity and reality of zeros. We establish recurrence relations and give factorizations of independence polynomials for certain classes ...
Wang, Yi, Zhu, Bao-Xuan
core   +2 more sources

The log-convexity of the poly-Cauchy numbers

open access: yes, 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
core   +1 more source

Stanley's Major Contributions to Ehrhart Theory

open access: yes, 2015
This expository paper features a few highlights of Richard Stanley's extensive work in Ehrhart theory, the study of integer-point enumeration in rational polyhedra.
Beck, Matthias
core   +1 more source

Interlacing Log-concavity of the Boros-Moll Polynomials [PDF]

open access: yes, 2010
We introduce the notion of interlacing log-concavity of a polynomial sequence $\{P_m(x)\}_{m\geq 0}$, where $P_m(x)$ is a polynomial of degree m with positive coefficients $a_{i}(m)$.
Chen, William Y. C.   +2 more
core  

The Number of Ternary Words Avoiding Abelian Cubes Grows Exponentially [PDF]

open access: yes, 2004
We show that the number of ternary words of length n avoiding abelian cubes grows faster than r^n, where r = 2^{1/24}NSERCcs.uwaterloo.ca/journals/JIS/VOL7/Currie/currie18 ...
Aberkane, Ali   +2 more
core  

Pebbling in Dense Graphs

open access: yes, 2003
A configuration of pebbles on the vertices of a graph is solvable if one can place a pebble on any given root vertex via a sequence of pebbling steps.
Czygrinow, Andrzej, Hurlbert, Glenn
core   +2 more sources

Gromov hyperbolicity of planar graphs

open access: yesOpen Mathematics, 2013
Cantón Alicia   +3 more
doaj   +1 more source

Gromov hyperbolic cubic graphs

open access: yesOpen Mathematics, 2012
Pestana Domingo   +3 more
doaj   +1 more source

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