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ICALP
1998
Springer
13 years 11 months ago
Independent Sets with Domination Constraints
Magnús M. Halldórsson, Jan Kratochv&...
APPML
2010
89views more  APPML 2010»
13 years 7 months ago
An independent dominating set in the complement of a minimum dominating set of a tree
We prove that for every tree T of order at least 2 and every minimum dominating set D of T which contains at most one endvertex of T, there is an independent dominating set I of T...
Michael A. Henning, Christian Löwenstein, Die...
CORR
2010
Springer
156views Education» more  CORR 2010»
13 years 7 months ago
A Branch-and-Reduce Algorithm for Finding a Minimum Independent Dominating Set
A dominating set D of a graph G = (V, E) is a subset of vertices such that every vertex in V \ D has at least one neighbour in D. Moreover if D is an independent set, i.e. no verti...
Serge Gaspers, Mathieu Liedloff
COLOGNETWENTE
2007
13 years 8 months ago
Approximating minimum independent dominating sets in wireless networks
We present the first polynomial-time approximation scheme (PTAS) for the Minimum Independent Dominating Set problem in graphs of polynomially bounded growth. Graphs of bounded gr...
Johann Hurink, Tim Nieberg
JGT
2007
81views more  JGT 2007»
13 years 7 months 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...