Results 1 to 10 of about 40 (25)
Complexity results for equistable graphs and related classes [PDF]
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James Orlin +2 more
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Equistable distance-hereditary graphs
A graph is equistable if a non-negative function on its vertices exists such that a set \(S\) of vertices has total weight 1 if and only if \(S\) is maximal stable. This concept was introduced by \textit{N. V. R. Mahadev, U. N. Peled} and \textit{F. Sun} [J.\ Graph Theory 18, 281--299 (1994; Zbl 0794.05112)].
Udi Rotics, Uri N Peled
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Recognizing k-equistable Graphs in FPT Time [PDF]
A graph $G = (V,E)$ is called equistable if there exist a positive integer $t$ and a weight function $w : V \to \mathbb{N}$ such that $S \subseteq V$ is a maximal stable set of $G$ if and only if $w(S) = t$. Such a function $w$ is called an equistable function of $G$.
Oliver Schaudt +2 more
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Uri N Peled
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On equistable, split, CIS, and related classes of graphs
We consider several graphs classes defined in terms of conditions on cliques and stable sets, including CIS, split, equistable, and other related classes. We pursue a systematic study of the relations between them. As part of this study, we introduce two generalizations of CIS graphs, obtain a new characterization of split graphs, and a ...
Endre Boros, Martin Milanič
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Equistable graphs, general partition graphs, triangle graphs, and graph products
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Stefko Miklavic, Martin Milanič
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Equistable series–parallel graphs
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Uri N Peled
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A class of threshold and domishold graphs: equistable and equidominating graphs
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Charles Payan
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On the Recognition of k-Equistable Graphs
A graph G=(V,E) is called equistable if there exist a positive integer t and a weight function $w:V \longrightarrow \mathbb{N}$ such that S⊆V is a maximal stable set of G if and only if w(S)=t. The function w, if exists, is called an equistable function of G.
Vadim Levit +2 more
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Equistable simplicial, very well-covered, and line graphs
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Vadim Levit, Martin Milanič
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