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- W1174822088 abstract "In a graph G, an efficient dominating set is a subset D of vertices such that D is an independent set and each vertex outside D has exactly one neighbor in D. The Efficient Dominating Set (ED) problem asks for the existence of an efficient dominating set in a given graph. The ED problem is known to be solvable in polynomial time for P5-free graphs but NP-complete for P7-free graphs whereas for P6-free graphs, its complexity was an open problem. Recently, Lokshtanov et al. and independently, Mosca showed that ED is solvable in polynomial time for P6-free graphs. In this paper, we show that the ED problem can be solved efficiently for two subclasses of P6-free graphs, namely for (P6, bull)-free graphs, and for (P6,S1,1,3)-free graphs; the time bounds for the two subclasses are much better than in the general case of P6-free graphs." @default.
- W1174822088 created "2016-06-24" @default.
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- W1174822088 date "2016-03-01" @default.
- W1174822088 modified "2023-09-26" @default.
- W1174822088 title "Weighted efficient domination in two subclasses of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msub></mml:math>-free graphs" @default.
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- W1174822088 doi "https://doi.org/10.1016/j.dam.2015.07.032" @default.
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