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» On the Independent Domination Number of Random Regular Graph...
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CPC
2004
65views more  CPC 2004»
13 years 7 months ago
On the b-Independence Number of Sparse Random Graphs
Geoffrey Atkinson, Alan M. Frieze
DM
2006
104views more  DM 2006»
13 years 7 months ago
Construction of trees and graphs with equal domination parameters
We provide a simple constructive characterization for trees with equal domination and independent domination numbers, and for trees with equal domination and total domination numb...
Michael Dorfling, Wayne Goddard, Michael A. Hennin...
APPROX
2004
Springer
129views Algorithms» more  APPROX 2004»
14 years 28 days ago
The Chromatic Number of Random Regular Graphs
Given any integer d ≥ 3, let k be the smallest integer such that d < 2k log k. We prove that with high probability the chromatic number of a random d-regular graph is k, k + 1...
Dimitris Achlioptas, Cristopher Moore
FCS
2009
13 years 5 months ago
Domination and Independence on the Rectangular Torus by Rooks and Bishops
A set S V is a dominating set of a graph G = (V; E) if each vertex in V is either in S or is adjacent to a vertex in S. A vertex is said to dominate itself and all its neighbors. ...
Joe DeMaio, William Faust