Results 1 to 10 of about 40 (25)

Complexity results for equistable graphs and related classes [PDF]

open access: yesAnnals of Operations Research, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
James Orlin   +2 more
exaly   +4 more sources

Equistable distance-hereditary graphs

open access: yesDiscrete Applied Mathematics, 2008
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
exaly   +3 more sources

Recognizing k-equistable Graphs in FPT Time [PDF]

open access: yesLecture Notes in Computer Science, 2016
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
exaly   +3 more sources

Equistable chordal graphs

open access: yesDiscrete Applied Mathematics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Uri N Peled
exaly   +2 more sources

On equistable, split, CIS, and related classes of graphs

open access: yesDiscrete Applied Mathematics, 2017
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
exaly   +3 more sources

Equistable graphs, general partition graphs, triangle graphs, and graph products

open access: yesDiscrete Applied Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stefko Miklavic, Martin Milanič
exaly   +2 more sources

Equistable series–parallel graphs

open access: yesDiscrete Applied Mathematics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Uri N Peled
exaly   +3 more sources

A class of threshold and domishold graphs: equistable and equidominating graphs

open access: yesDiscrete Mathematics, 1980
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Charles Payan
exaly   +2 more sources

On the Recognition of k-Equistable Graphs

open access: yesLecture Notes in Computer Science, 2012
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
exaly   +3 more sources

Equistable simplicial, very well-covered, and line graphs

open access: yesDiscrete Applied Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vadim Levit, Martin Milanič
exaly   +2 more sources

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