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» Generalized connected domination in graphs
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GC
2008
Springer
14 years 9 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»
15 years 3 months 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»
14 years 9 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
15 years 3 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
14 years 11 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...