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JGT
2007
73views more  JGT 2007»
13 years 7 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
CORR
2007
Springer
181views Education» more  CORR 2007»
13 years 7 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
DMCCG
2001
Springer
123views Combinatorics» more  DMCCG 2001»
13 years 12 months ago
New Bounds for Hypercube Slicing Numbers
M. Reza Emamy-Khansary, Martin Ziegler
COMBINATORICS
2007
84views more  COMBINATORICS 2007»
13 years 7 months ago
A New Upper Bound on the Total Domination Number of a Graph
Michael A. Henning, Anders Yeo