Universitat Politècnica de Catalunya

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20022009

most citedReaction-diffusion processes and metapopulation models in heterogeneous networks

886 citations

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16 papers · 1 filter

math.CO2009★ 1 cited

Graph classes with given 3-connected components: asymptotic enumeration and random graphs

Omer Gimenez, Marc Noy, Juanjo Rue

Consider a family $T$ of 3-connected graphs of moderate growth, and let $G$ be the class of graphs whose 3-connected components are graphs in $T$ . We…

math.CO2008

Symplectic spreads and permutation polynomials

Simeon Ball, Michael E. Zieve

Every symplectic spread of PG(3,q), or equivalently every ovoid of Q(4,q), is shown to give rise to a certain family of permutation polynomials of GF(q) and conversely. This leads…

math.CO2008★ 2 cited

A combinatorial proof of the Removal Lemma for Groups

Daniel Král', Oriol Serra, Lluís Vena

Green [Geometric and Functional Analysis 15 (2005), 340--376] established a version of the Szemerédi Regularity Lemma for abelian groups and derived the Removal Lemma for abelian g…

math.CO2007

Properties of two dimensional sets with small sumset

David J. Grynkiewicz, Oriol Serra

Let $A, B \subseteq R^{2}$ be finite, nonempty subsets, let $s \geq 2$ be an integer, and let $h_{1} (A, B)$ denote the minimal number $t$ such that there exist $2 t$ (not necessar…

math.CO2007★ 11 cited

On the growth rate of minor-closed classes of graphs

Olivier Bernardi, Marc Noy, Dominic Welsh

A minor-closed class of graphs is a set of labelled graphs which is closed under isomorphism and under taking minors. For a minor-closed class $C$ , we let $c_{n}$ be the number of gr…

math.CO2007

Lattice and Schroder paths with periodic boundaries

Joseph P. S. Kung, Anna de Mier, Xinyu Sun +1

We consider paths in the plane with $(1, 0),$ $(0, 1),$ and $(a, b)$ -steps that start at the origin, end at height $n,$ and stay to the left of a given non-decreasing right boundary.…