Results 11 to 20 of about 40 (25)

Structural Results for General Partition, Equistable and Triangle graphs

open access: yesElectronic Notes in Discrete Mathematics, 2015
Abstract Miklavic and Milanic (2011) introduced the connections among the classes of equistable, general partition and triangle graphs. We present results concerning the three classes aforementioned. In particular, we show that the general partition and triangle classes are both closed under the operations of substitution, induction and contraction ...
Márcia R. Cerioli, Taísa L. Martins
exaly   +2 more sources

Strong cliques and equistability of EPT graphs

open access: yesDiscrete Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liliana Alcon   +2 more
exaly   +4 more sources

Equistarable Graphs and Counterexamples to Three Conjectures on Equistable Graphs [PDF]

open access: yesJournal of Graph Theory, 2016
AbstractEquistable graphs are graphs admitting positive weights on vertices such that a subset of vertices is a maximal stable set if and only if it is of total weight 1. Strongly equistable graphs are graphs such that for every and every nonempty subset T of vertices that is not a maximal stable set, there exist positive vertex weights assigning ...
Milanič, Martin, Trotignon, Nicolas
openaire   +3 more sources

Equistable graphs: conjectures, results, and connections with Boolean functions

open access: yes, 2013
Milanič, Martin   +5 more
openaire   +1 more source

Short proofs on the structure of general partition, equistable and triangle graphs

Discrete Applied Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taisa Lopes Martins
exaly   +3 more sources

Equistable graphs

Journal of Graph Theory, 1994
AbstractAn equistable graph is a graph for which the incidence vectors of the maximal stable sets are the 0–1 solutions of a linear equation. A necessary condition and a sufficient condition for equistability are given. They are used to characterize the equistability of various classes of perfect graphs, outerplanar graphs, and pseudothreshold graphs ...
Nadimpalli V. R. Mahadev   +2 more
exaly   +3 more sources

Pseudothreshold and Equistable Graphs

Annals of Discrete Mathematics, 1995
exaly   +2 more sources

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