Results 1 to 10 of about 327 (176)

A characterization of strongly chordal graphs

open access: yesDiscrete Mathematics, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mirka Miller, Elias Dahlhaus
exaly   +3 more sources

Maxclique and Unit Disk Characterizations of Strongly Chordal Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2014
Maxcliques (maximal complete subgraphs) and unit disks (closed neighborhoods of vertices) sometime play almost interchangeable roles in graph theory. For instance, interchanging them makes two existing characterizations of chordal graphs into two new ...
Caria Pablo De, McKee Terry A.
doaj   +4 more sources

Graph isomorphism completeness for chordal bipartite graphs and strongly chordal graphs

open access: yesDiscrete Applied Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ryuhei Uehara
exaly   +2 more sources

Strongly orderable graphs A common generalization of strongly chordal and chordal bipartite graphs

open access: yesDiscrete Applied Mathematics, 2000
For a graph \(G = (V,E)\) a linear ordering \(\sigma\) of the vertices is called a strong ordering of \(G\) if the following property is fulfilled: if \(ab, ac, bd \in E\), \(a
Feodor F Dragan
exaly   +2 more sources

On the complexity of the sandwich problems for strongly chordal graphs and chordal bipartite graphs

open access: yesTheoretical Computer Science, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C M H de Figueiredo   +2 more
exaly   +3 more sources

Rainbow domination and related problems on strongly chordal graphs

open access: yesDiscrete Applied Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiaojiao Wu, Gérard J Chang
exaly   +3 more sources

A linear-time algorithm for semitotal domination in strongly chordal graphs

open access: yesDiscrete Applied Mathematics, 2023
In a graph $G=(V,E)$ with no isolated vertex, a dominating set $D \subseteq V$, is called a semitotal dominating set if for every vertex $u \in D$ there is another vertex $v \in D$, such that distance between $u$ and $v$ is at most two in $G$. Given a graph $G=(V,E)$ without isolated vertices, the Minimum Semitotal Domination problem is to find a ...
Anil Maheshwari   +2 more
exaly   +4 more sources

Further results on Hendry's Conjecture [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2022
Recently, a conjecture due to Hendry was disproved which stated that every Hamiltonian chordal graph is cycle extendible. Here we further explore the conjecture, showing that it fails to hold even when a number of extra conditions are imposed.
Manuel Lafond   +2 more
doaj   +1 more source

Cycle Extendability of Hamiltonian Strongly Chordal Graphs [PDF]

open access: yesSIAM Journal on Discrete Mathematics, 2021
14 pages, 6 figures.
Guozhen Rong   +3 more
openaire   +3 more sources

Efficient (j, k)-Dominating Functions

open access: yesDiscussiones Mathematicae Graph Theory, 2023
For positive integers j and k, an efficient (j, k)-dominating function of a graph G = (V, E) is a function f : V → {0, 1, 2, . . ., j} such that the sum of function values in the closed neighbourhood of every vertex equals k. The relationship between the
Klostermeyer William F.   +3 more
doaj   +1 more source

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