Charles University

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20022009

most citedApproaching the Dirac point in high mobility multi-layer epitaxial graphene

648 citations

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Showing 2009 · math.COShow all

4 papers · 2 filters

math.CO2009

Non-representability of finite projective planes by convex sets

Martin Tancer

We prove that there is no d such that all finite projective planes can be represented by convex sets in R^d, answering a question of Alon, Kalai, Matousek, and Meshulam. Here, if P…

math.CO2009★ 1 cited

Latin bitrades, dissections of equilateral triangles and abelian groups

Ales Drapal, Carlo Hamalainen, Viteslav Kala

Let $T = (T^{*}, T^{△})$ be a spherical latin bitrade. With each $a = (a_{1}, a_{2}, a_{3}) \in T^{*}$ associate a set of linear equatio…

math.CO2009

Domination number of cubic graphs with large girth

Daniel Kral, Petr Skoda, Jan Volec

We show that every n-vertex cubic graph with girth at least g have domination number at most 0.299871n+O(n/g)<3n/10+O(n/g).

math.CO2009

Graphs with bounded tree-width and large odd-girth are almost bipartite

Alexandr V. Kostochka, Daniel Kral', Jean-Sebastien Sereni +1

We prove that for every $k$ and every $ε > 0$ , there exists $g$ such that every graph with tree-width at most $k$ and odd-girth at least $g$ has circular chromatic number a…