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» Real and integer domination in graphs
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DM
1999
75views more  DM 1999»
13 years 4 months ago
Real and integer domination in graphs
For an arbitrary subset P of the reals, we define a function f: V P to be a Pdominating function of graph G = (V, E) if the sum of the function values over any
Wayne Goddard, Michael A. Henning
DM
2006
108views more  DM 2006»
13 years 5 months ago
Optimal broadcast domination in polynomial time
Broadcast domination was introduced by Erwin in 2002, and it is a variant of the standard dominating set problem, such that different vertices can be assigned different domination...
Pinar Heggernes, Daniel Lokshtanov
FSTTCS
2010
Springer
13 years 3 months ago
The effect of girth on the kernelization complexity of Connected Dominating Set
In the Connected Dominating Set problem we are given as input a graph G and a positive integer k, and are asked if there is a set S of at most k vertices of G such that S is a dom...
Neeldhara Misra, Geevarghese Philip, Venkatesh Ram...
SODA
2012
ACM
218views Algorithms» more  SODA 2012»
11 years 7 months ago
Linear kernels for (connected) dominating set on H-minor-free graphs
We give the first linear kernels for DOMINATING SET and CONNECTED DOMINATING SET problems on graphs excluding a fixed graph H as a minor. In other words, we give polynomial time...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, ...
JCO
2007
97views more  JCO 2007»
13 years 5 months ago
Restricted domination parameters in graphs
In a graph G, a vertex dominates itself and its neighbors. A subset S ⊆ V (G) is an m-tuple dominating set if S dominates every vertex of G at least m times, and an m-dominating...
Wayne Goddard, Michael A. Henning