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DM
2010
108views more  DM 2010»
13 years 8 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...
COMBINATORICS
2007
121views more  COMBINATORICS 2007»
13 years 8 months ago
A Bound for Size Ramsey Numbers of Multi-partite Graphs
It is shown that the (diagonal) size Ramsey numbers of complete m-partite graphs Km(n) can be bounded from below by cn22(m−1)n, where c is a positive constant. Key words: Size R...
Yuqin Sun, Yusheng Li
CORR
2007
Springer
181views Education» more  CORR 2007»
13 years 8 months ago
A new lower bound on the independence number of a graph
For a given connected graph G on n vertices and m edges, we prove that its independence number α(G) is at least ((2m+n+2) -((2m+n+2)2 -16n2 )½ )/8. Keywords : independence numbe...
Ossama Kettani
JCT
2007
146views more  JCT 2007»
13 years 7 months ago
Laplacian spectral bounds for clique and independence numbers of graphs
Let G be a simple graph with n vertices and m edges. Let ω(G) and α(G) be the numbers of vertices of the largest clique and the largest independent set in G, respectively. In th...
Mei Lu, Huiqing Liu, Feng Tian
STACS
1995
Springer
13 years 11 months ago
The Number of Views of Piecewise-Smooth Algebraic Objects
Abstract. A solid object in 3-dimensional space may be described by a collection of all its topologically distinct 2-dimensional appearances, its aspect graph. In this paper, we st...
Sylvain Petitjean