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» New bounds on the edge number of a k-map graph
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79
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JGT
2007
73views more  JGT 2007»
14 years 10 months ago
New bounds on the edge number of a k-map graph
It is known that for every integer k ≥ 4, each k-map graph with n vertices has at most kn − 2k edges. Previously, it was open whether this bound is tight or not. We show that ...
Zhi-Zhong Chen
95
Voted
CORR
2007
Springer
181views Education» more  CORR 2007»
14 years 10 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
73
Voted
IPL
2002
89views more  IPL 2002»
14 years 10 months ago
New bounds on the barycenter heuristic for bipartite graph drawing
The barycenter heuristic is often used to solve the NP-hard two-layer edge crossing minimization problem. It is well-known that the barycenter heuristic can give solutions as bad a...
Xiao Yu Li, Matthias F. M. Stallmann