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» On the Grundy Number of a Graph
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GC
2008
Springer
13 years 9 months ago
Domination in Graphs of Minimum Degree at least Two and Large Girth
We prove that for graphs of order n, minimum degree 2 and girth g 5 the domination number satisfies 1 3 + 2 3g n. As a corollary this implies that for cubic graphs of order n ...
Christian Löwenstein, Dieter Rautenbach
OPODIS
2007
13 years 10 months ago
The Cost of Monotonicity in Distributed Graph Searching
Abstract. Blin et al. (2006) proposed a distributed protocol that enables the smallest number of searchers to clear any unknown asynchronous graph in a decentralized manner. Unknow...
David Ilcinkas, Nicolas Nisse, David Soguet
COMBINATORICA
2008
123views more  COMBINATORICA 2008»
13 years 7 months ago
Counting canonical partitions in the random graph
Algorithms are given for computing the number of n-element diagonal sets and the number of n-element strongly diagonal sets of binary sequences of length at most 2n - 2. The first...
Jean A. Larson
DM
2002
91views more  DM 2002»
13 years 8 months ago
A disproof of Henning's conjecture on irredundance perfect graphs
Let ir(G) and (G) be the irredundance number and the domination number of a graph G, respectively. A graph G is called irredundance perfect if ir(H) = (H), for every induced subgr...
Lutz Volkmann, Vadim E. Zverovich
DM
2006
124views more  DM 2006»
13 years 9 months ago
Hall ratio of the Mycielski graphs
Let n(G) denote the number of vertices of a graph G and let (G) be the independence number of G, the maximum number of pairwise nonadjacent vertices of G. The Hall ratio of a grap...
Mathew Cropper, András Gyárfá...