$$k$$ k -Power domination in block graphs
Chao Wang,
Lei Chen and
Changhong Lu ()
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Chao Wang: East China Normal University
Lei Chen: Shanghai Maritime University
Changhong Lu: East China Normal University
Journal of Combinatorial Optimization, 2016, vol. 31, issue 2, No 25, 865-873
Abstract:
Abstract The power system monitoring problem asks for as few as possible measurement devices to be put in an electric power system. The problem has a graph theory model involving power dominating set in graphs. The concept of $$k$$ k -power domination, first introduced by Chang et al. (Discret Appl Math 160:1691–1698, 2012), is a common generalization of domination and power domination. In this paper, we present a linear-time algorithm for $$k$$ k -power domination in block graphs.
Keywords: Domination; Power domination; Electrical network monitoring; Block graphs; 05C69; 05C85; 68R10 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10878-014-9795-0
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