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- W4297444973 abstract "Let $G=(V,E)$ be a finite undirected graph. An edge set $E' subseteq E$ is a {em dominating induced matching} ({em d.i.m.}) in $G$ if every edge in $E$ is intersected by exactly one edge of $E'$. The emph{Dominating Induced Matching} (emph{DIM}) problem asks for the existence of a d.i.m. in $G$; this problem is also known as the emph{Efficient Edge Domination} problem; it is the Efficient Domination problem for line graphs. The DIM problem is NP-complete even for very restricted graph classes such as planar bipartite graphs with maximum degree 3 but is solvable in linear time for $P_7$-free graphs, and in polynomial time for $S_{1,2,4}$-free graphs as well as for $S_{2,2,2}$-free graphs and for $S_{2,2,3}$-free graphs. In this paper, combining two distinct approaches, we solve it in polynomial time for $S_{1,1,5}$-free graphs." @default.
- W4297444973 created "2022-09-28" @default.
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- W4297444973 date "2019-05-14" @default.
- W4297444973 modified "2023-09-28" @default.
- W4297444973 title "Finding Dominating Induced Matchings in $S_{1,1,5}$-Free Graphs in Polynomial Time" @default.
- W4297444973 doi "https://doi.org/10.48550/arxiv.1905.05582" @default.
- W4297444973 hasPublicationYear "2019" @default.
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