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91
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DM
2006
104views more  DM 2006»
15 years 13 days 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...
FCS
2009
14 years 10 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
101
Voted
JGT
2007
81views more  JGT 2007»
15 years 9 days ago
Independent dominating sets and hamiltonian cycles
A graph is uniquely hamiltonian if it contains exactly one hamiltonian cycle. In this note we prove that there are no r-regular uniquely hamiltonian graphs when r > 22. This im...
Penny E. Haxell, Ben Seamone, Jacques Verstraë...
88
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ISAAC
1993
Springer
134views Algorithms» more  ISAAC 1993»
15 years 4 months ago
Weighted Independent Perfect Domination on Cocomparability Graphs
Gerard J. Chang, C. Pandu Rangan, Satyan R. Coorg
94
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CPC
2006
91views more  CPC 2006»
15 years 13 days ago
On the Independent Domination Number of Random Regular Graphs
William Duckworth, Nicholas C. Wormald