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Abstract In this paper we study a natural generalization for the perfection of graphs to other interesting parameters related with colorations. This generalization was introduced partially by Christen and Selkow in 1979 and Yegnanarayanan in 2001. Let a , b ∈ { ω , χ , Γ , α , ψ } where ω is the clique number, χ is the chromatic ...
Gabriela Araujo-Pardo +1 more
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Progress on perfect graphs [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maria Chudnovsky +3 more
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OPEN PACKING NUMBER FOR SOME CLASSES OF PERFECT GRAPHS
Let \(G\) be a graph with the vertex set \(V(G)\). A subset \(S\) of \(V(G)\) is an open packing set of \(G\) if every pair of vertices in \(S\) has no common neighbor in \(G.\) The maximum cardinality of an open packing set of \(G\) is the open ...
K. Raja Chandrasekar, S. Saravanakumar
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Perfect double Italian domination of a graph
For a graph [Formula: see text] with [Formula: see text] and [Formula: see text], a perfect double Italian dominating function is a function [Formula: see text] having the property that [Formula: see text], for every vertex [Formula: see text] with ...
Guoliang Hao +2 more
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In this paper, we introduce ideal graph of a graph and study some of its properties. We characterize connectedness, isomorphism of graphs and coloring property of a graph using ideal graph.
Manoharan, R., Vasuki, R.
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Two graphs \(G\) and \(H\) on the vertex set \(V\) are \(P_4\)-isomorphic if there is a permutation \(\pi\) on \(V\) such that, for all subsets \(S\) of \(V\), \(S\) induces a chordless \(P_4\) in \(G\) if and only if \(\pi (S)\) induces a \(P_4\) in \(H\). The author characterizes all graphs \(P_4\)-isomorphic to a bipartite graph. For example, we can
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Asymmetric game perfect graphs and the circular coloring game of weighted graphs [PDF]
Zacharopoulos P. Asymmetric game perfect graphs and the circular coloring game of weighted graphs.
Zacharopoulos, Panagiotis
core
Towards a Maude tool for model checking temporal graph properties [PDF]
We present our prototypical tool for the verification of graph transformation systems. The major novelty of our tool is that it provides a model checker for temporal graph properties based on counterpart semantics for quantified m-calculi.
Lluch-Lafuente, Alberto +4 more
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Eigenvalues of the perfect matching derangement graph
The perfect matching derangement graph M2n is the graph whose vertex set consists of the perfect matchings of the complete graph K2n such that two vertices (perfect matchings) are adjacent if and only if they have no edges in common, i.e.
Koh, Samuel Zhi Kang
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Heterotropic regulation and negative homotropic cooperativity
We identified a structural module common to some proteins that couple negative cooperativity with heterotropic regulation, two features that rarely coexist. These proteins are ring‐like and present an ordered asymmetry whereby noncontacting subunits are symmetric, and their tertiary structure differs from that of contacting subunits.
Veronica Morea +5 more
wiley +1 more source

