Exploració per tema "Chromatic number"
Ara es mostren els items 1-4 de 4
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Chromatic number in random scaled sector graphs
(2004-04)
Report de recerca
Accés obertIn this paper, we introduce a new model of random graph that we call random sector graph. This model aims to provide a tool for studying communication problems in networks of sensors using laser communication such as ... -
Degrees in oriented hypergraphs and Ramsey p-chromatic number
(2012-08)
Article
Accés restringit per política de l'editorialThe family D(k,m) of graphs having an orientation such that for every vertex v ∈ V (G) either (outdegree) deg+(v) ≤ k or (indegree) deg−(v) ≤ m have been investigated recently in several papers because of the role D(k,m) ... -
Optimization of eigenvalue bounds for the independence and chromatic number of graph powers
(2022-03)
Article
Accés obertThe k-thpower of a graph G=(V,E), G^k, is the graph whose vertex set is V and in which two distinct vertices are adjacent if and only if their distance in G is at most k. This article proves various eigenvalue bounds for ... -
Partitions of graphs into small and large sets
(2013-09)
Article
Accés restringit per política de l'editorialLet GG be a graph on nn vertices. We call a subset AA of the vertex set V(G)V(G)kk-small if, for every vertex v∈Av∈A, deg(v)≤n−|A|+kdeg(v)≤n−|A|+k. A subset B⊆V(G)B⊆V(G) is called kk-large if, for every vertex u∈Bu∈B, ...