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Exact Algorithms for Minimum Weighted Dominating Induced Matching
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Lin, Min Chih +2 more
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Between Treewidth and Clique-width [PDF]
Many hard graph problems can be solved efficiently when restricted to graphs of bounded treewidth, and more generally to graphs of bounded clique-width.
B Courcelle +12 more
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Γ -Paired dominating graphs of some paths
A paired dominating set of a graph G = (V(G),E(G)) is a set D of vertices of G such that every vertex is adjacent to some vertex in D, and the subgraph of G induced by D contains a perfect matching. The upper paired domination number of G, denoted by Γpr(
Eakawinrujee Pannawat +1 more
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Fast algorithms for some dominating induced matching problems
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Min Chih Lin +2 more
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Exact algorithms for dominating induced matching based on graph partition
A dominating induced matching, also called an efficient edge domination, of a graph $G=(V,E)$ with $n=|V|$ vertices and $m=|E|$ edges is a subset $F \subseteq E$ of edges in the graph such that no two edges in $F$ share a common endpoint and each edge in $E\setminus F$ is incident with exactly one edge in $F$.
Mingyu Xiao, Hiroshi Nagamochi
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On the dominating induced matching problem: Spectral results and sharp bounds
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Enide Andrade +3 more
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Circumferences of 3-connected claw-free graphs, II [PDF]
For a graph H , the circumference of H , denoted by c ( H ) , is the length of a longest cycle in H . It is proved in Chen (2016) that if H is a 3-connected claw-free graph of order n with δ ≥ 8 , then c ( H ) ≥ min { 9 δ − 3 , n } .
Chen, Zhi-Hong
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Exact algorithms for dominating induced matchings
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Lin, Min Chih +2 more
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Dominating induced matchings in graphs without a skew star
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Korpelainen, Nicholas +2 more
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Dominating Sets and Induced Matchings in Orthogonal Ray Graphs
SUMMARY An orthogonal ray graph is an intersection graph of horizontal and vertical rays (closed half-lines) in the plane. Such a graph is 3-directional if every vertical ray has the same direction, and 2-directional if every vertical ray has the same direction and every horizontal ray has the same direction.
Asahi Takaoka +2 more
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