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GC
2010
Springer
13 years 3 months ago
Pairs of Disjoint Dominating Sets and the Minimum Degree of Graphs
Christian Löwenstein, Dieter Rautenbach
SIAMCOMP
2002
139views more  SIAMCOMP 2002»
13 years 4 months ago
Approximating the Domatic Number
A set of vertices in a graph is a dominating set if every vertex outside the set has a neighbor in the set. The domatic number problem is that of partitioning the vertices of a gra...
Uriel Feige, Magnús M. Halldórsson, ...
APPML
2008
92views more  APPML 2008»
13 years 5 months ago
On the domination number of Hamiltonian graphs with minimum degree six
Let G = (V, E) be a simple graph. A set D V is a dominating set of G if every vertex of V - D is adjacent to a vertex of D. The domination number of G, denoted by (G), is the min...
Hua-Ming Xing, Johannes H. Hattingh, Andrew R. Plu...
DAM
2011
12 years 12 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
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
13 years 3 months ago
Minimum Dominating Set Approximation in Graphs of Bounded Arboricity
Abstract. Since in general it is NP-hard to solve the minimum dominating set problem even approximatively, a lot of work has been dedicated to central and distributed approximation...
Christoph Lenzen, Roger Wattenhofer