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» Power Domination Problem in Graphs
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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
ESA
2001
Springer
132views Algorithms» more  ESA 2001»
14 years 1 days ago
Greedy Algorithms for Minimisation Problems in Random Regular Graphs
In this paper we introduce a general strategy for approximating the solution to minimisation problems in random regular graphs. We describe how the approach can be applied to the m...
Michele Zito
FSTTCS
2009
Springer
14 years 2 months ago
Domination Problems in Nowhere-Dense Classes
We investigate the parameterized complexity of generalisations and variations of the dominating set problem on classes of graphs that are nowhere dense. In particular, we show that...
Anuj Dawar, Stephan Kreutzer
DAM
2011
13 years 2 months ago
Optimization problems in multiple subtree graphs
We study various optimization problems in t-subtree graphs, the intersection graphs of tsubtrees, where a t-subtree is the union of t disjoint subtrees of some tree. This graph cl...
Danny Hermelin, Dror Rawitz
COLOGNETWENTE
2007
13 years 9 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