Results 11 to 20 of about 2,481 (263)
Discrete Mathematics, 1994 The authors characterize those multigraphs which are squares of chordal graphs and develop an algorithm for producing the unique square root from its squared chordal graph.
Frank Harary, Terry A. McKee
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Discrete Applied Mathematics, 2003 A graph \(G=(V, E)\) is a chordal probe graph if there exists a partition \(V=P\cup N\) with a stable set \(N\) and a completion \(E'\subseteq\{uv : u\not= v\in N\}\) such that the graph \((V, E\cup E')\) is a chordal graph. Chordal probe graphs generalize probe interval graphs introduced by P. Zhang; see also [\textit{F. R. McMorris, C.
Martin Charles Golumbic +1 more
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The leafage of a chordal graph
Discussiones Mathematicae Graph Theory, 1998 19 pages, 3 ...
In-Jen Lin +2 more
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Chordal multipartite graphs and chordal colorings
Discrete Mathematics, 2007 A graph is defined to be chordal colorable if it admits a proper vertex-coloring such that each minimal separator induces a subgraph in which two vertices are adjacent if and only if they are differently colored. All chordal graphs and all chordal bipartite graphs are chordal colorable. All chordal colorable graphs are weakly chordal.
McKee, Terry A.
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Discrete Mathematics, 2003 This paper studies dual-chordal graphs, that is, graphs that are dual to chordal graphs with regard to cycle/cutset duality. A characteristic of such graphs is that every cutset with at least four edges is accompanied by a certain kind of edge, a ``cut-chord.'' One result allows us to recognize dual-chordal graphs by simply looking at cubic graphs.
McKee, Terry A.
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Journal of Combinatorial Theory, Series A, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jürgen Herzog +2 more
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Branchwidth of chordal graphs [PDF]
Discrete Applied Mathematics, 2009 This paper revisits the ‘branchwidth territories' of Kloks, Kratochvíl and Müller [T. Kloks, J. Kratochvíl, H. Müller, New branchwidth territories, in: 16th Ann. Symp. on Theoretical Aspect of Computer Science, STACS, in: Lecture Notes in Computer Science, vol. 1563, 1999, pp.
Paul, Christophe, Telle, Jan Arne
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Semipaired Domination in Some Subclasses of Chordal Graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2021 A dominating set $D$ of a graph $G$ without isolated vertices is called semipaired dominating set if $D$ can be partitioned into $2$-element subsets such that the vertices in each set are at distance at most $2$. The semipaired domination number, denoted
Michael A. Henning +2 more
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Efficient (j, k)-Dominating Functions
Discussiones 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
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On the End-Vertex Problem of Graph Searches [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 End vertices of graph searches can exhibit strong structural properties and are crucial for many graph algorithms. The problem of deciding whether a given vertex of a graph is an end-vertex of a particular search was first introduced by Corneil, K\"ohler
Jesse Beisegel +6 more
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