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» Packing Cliques in Graphs with Independence Number 2
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CPC
2007
105views more  CPC 2007»
13 years 4 months ago
Packing Cliques in Graphs with Independence Number 2
Let G be a graph with no three independent vertices. How many edges of G can be packed with edge-disjoint copies of Kk? More specifically, let fk(n, m) be the largest integer t s...
Raphael Yuster
ANOR
2005
160views more  ANOR 2005»
13 years 4 months ago
Packing r-Cliques in Weighted Chordal Graphs
In Hell et al. (2004), we have previously observed that, in a chordal graph G, the maximum number of independent r-cliques (i.e., of vertex disjoint subgraphs of G, each isomorphic...
Pavol Hell, Sulamita Klein, Loana Tito Nogueira, F...
SIAMDM
2010
170views more  SIAMDM 2010»
12 years 11 months ago
Complete Minors and Independence Number
Let G be a graph with n vertices and independence number . Hadwiger's conjecture implies that G contains a clique minor of order at least n/. In 1982, Duchet and Meyniel prov...
Jacob Fox
JCT
2007
146views more  JCT 2007»
13 years 4 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
FCT
2007
Springer
13 years 8 months ago
Multi-dimensional Packing with Conflicts
We study the multi-dimensional version of the bin packing problem with conflicts. We are given a set of squares V = {1, 2, . . . , n} with sides s1, s2, . . . , sn [0, 1] and a co...
Leah Epstein, Asaf Levin, Rob van Stee