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RSA
2010
98views more  RSA 2010»
14 years 10 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»
14 years 12 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»
14 years 12 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»
14 years 10 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»
14 years 12 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