Efficient and Perfect domination on circular-arc graphs
Given a graph G=(V, E), a perfect dominating set is a subset of vertices V ' ⊆V(G) such that each vertex v∈V(G)\\V' is dominated by exactly one vertex v'∈V'. An efficient dominating set is a perfect dominating set V ' where V ' is also an independent set. These problems...
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2015
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15710653_v50_n_p307_Lin http://hdl.handle.net/20.500.12110/paper_15710653_v50_n_p307_Lin |
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| Sumario: | Given a graph G=(V, E), a perfect dominating set is a subset of vertices V ' ⊆V(G) such that each vertex v∈V(G)\\V' is dominated by exactly one vertex v'∈V'. An efficient dominating set is a perfect dominating set V ' where V ' is also an independent set. These problems are usually posed in terms of edges instead of vertices. Both problems, either for the vertex or edge variant, remains NP-Hard, even when restricted to certain graphs families. We study both variants of the problems for the circular-arc graphs, and show efficient algorithms for all of them. © 2015. |
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