Results 1 to 10 of about 327 (176)
A characterization of strongly chordal graphs
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Mirka Miller, Elias Dahlhaus
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Maxclique and Unit Disk Characterizations of Strongly Chordal Graphs
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.
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Graph isomorphism completeness for chordal bipartite graphs and strongly chordal graphs
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Ryuhei Uehara
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Strongly orderable graphs A common generalization of strongly chordal and chordal bipartite graphs
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
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On the complexity of the sandwich problems for strongly chordal graphs and chordal bipartite graphs
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C M H de Figueiredo +2 more
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Rainbow domination and related problems on strongly chordal graphs
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Jiaojiao Wu, Gérard J Chang
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A linear-time algorithm for semitotal domination in strongly chordal graphs
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
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Further results on Hendry's Conjecture [PDF]
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
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Cycle Extendability of Hamiltonian Strongly Chordal Graphs [PDF]
14 pages, 6 figures.
Guozhen Rong +3 more
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Efficient (j, k)-Dominating Functions
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
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