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RSA
2010
98views more  RSA 2010»
13 years 6 months ago
Merging percolation on Zd and classical random graphs: Phase transition
: We study a random graph model which is a superposition of bond percolation on Zd with parameter p, and a classical random graph G(n, c/n). We show that this model, being a homoge...
Tatyana S. Turova, Thomas Vallier
DM
2010
108views more  DM 2010»
13 years 7 months ago
Grundy number and products of graphs
The Grundy number of a graph G, denoted by (G), is the largest k such that G has a greedy k-colouring, that is a colouring with k colours obtained by applying the greedy algorithm...
Marie Asté, Frédéric Havet, C...
DM
2010
98views more  DM 2010»
13 years 7 months ago
Idomatic partitions of direct products of complete graphs
In this paper we give a full characterization of the idomatic partitions of the direct product of three complete graphs. We also show how to use such a characterization in order t...
Mario Valencia-Pabon
IPL
2010
79views more  IPL 2010»
13 years 6 months ago
Unrestricted and complete Breadth-First Search of trapezoid graphs in O(n) time
We present an O(n) Breadth-First Search algorithm for trapezoid graphs, which takes as input a trapezoid model and any priority order on the vertices. Our algorithm is the first ...
Christophe Crespelle, Philippe Gambette
COMBINATORICS
2006
119views more  COMBINATORICS 2006»
13 years 7 months ago
Relaxations of Ore's Condition on Cycles
A simple, undirected 2-connected graph G of order n belongs to class O(n,), 0, if 2 = n - . It is well known (Ore's theorem) that G is hamiltonian if = 0, in which case the 2...
Ahmed Ainouche