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» Generalized connected domination in graphs
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GC
2008
Springer
13 years 7 months ago
Domination in Graphs of Minimum Degree at least Two and Large Girth
We prove that for graphs of order n, minimum degree 2 and girth g 5 the domination number satisfies 1 3 + 2 3g n. As a corollary this implies that for cubic graphs of order n ...
Christian Löwenstein, Dieter Rautenbach
WADS
2005
Springer
114views Algorithms» more  WADS 2005»
14 years 29 days ago
Linear Time Algorithms for Generalized Edge Dominating Set Problems
Abstract. In this paper we consider a generalization of the edge dominating set (EDS) problem, in which each edge e needs to be covered be times and refer to this as the b-EDS prob...
André Berger, Ojas Parekh
IJCM
2008
72views more  IJCM 2008»
13 years 7 months ago
ROMAN DOMINATION: a parameterized perspective
Abstract. We analyze Roman domination from a parameterized perspective. More specifically, we prove that this problem is W[2]-complete for general graphs. However, parameterized al...
Henning Fernau
IWCMC
2006
ACM
14 years 1 months ago
Energy efficient distributed connected dominating sets construction in wireless sensor networks
One important characteristic of wireless sensor networks is energy stringency. Constructing a connected dominating set (CDS) has been widely used as a topology control strategy to...
Yuanyuan Zeng, Xiaohua Jia, Yanxiang He
CCCG
2010
13 years 9 months ago
3d local algorithm for dominating sets of unit disk graphs
A dominating set of a graph G = (V, E) is a subset V V of the nodes such that for all nodes v V , either v V or a neighbor u of v is in V . Several routing protocols in ad hoc ...
Alaa Eddien Abdallah, Thomas Fevens, Jaroslav Opat...