Corpus ID: 237532572

# Finding Efficient Domination for $(P_9,S_{1,2,5},S_{3,3,3}$-Free Chordal Bipartite Graphs in Polynomial Time

@inproceedings{Brandstadt2021FindingED,
title={Finding Efficient Domination for \$(P\_9,S\_\{1,2,5\},S\_\{3,3,3\}\$-Free Chordal Bipartite Graphs in Polynomial Time},
year={2021}
}
• Published 15 September 2021
• Computer Science
A vertex set D in a finite undirected graph G is an efficient dominating set (e.d.s. for short) of G if every vertex of G is dominated by exactly one vertex of D. The Efficient Domination (ED) problem, which asks for the existence of an e.d.s. in G, is known to be NP-complete for P7-free graphs, and even for very restricted H-free bipartite graph classes such as for K1,4-free bipartite graphs as well as for C4-free bipartite graphs while it is solvable in polynomial time for P8-free bipartite… Expand

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