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GC
2010
Springer
13 years 9 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 10 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 11 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
13 years 5 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 9 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