Results 41 to 50 of about 12,385 (266)
Determining what sets of trees can be the clique trees of a chordal graph [PDF]
, 2011 Chordal graphs have characteristic tree representations, the clique trees. The problems of finding one or enumerating them have already been solved in a satisfactory way. In this paper, the following related problem is studied: given a family T of trees,
de Caria, Pablo Jesús +1 more
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Discrete Applied Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tínaz Ekim +3 more
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Maxclique and Unit Disk Characterizations of Strongly Chordal Graphs
Discussiones 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.
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On the multipacking number of grid graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 In 2001, Erwin introduced broadcast domination in graphs. It is a variant of classical domination where selected vertices may have different domination powers. The minimum cost of a dominating broadcast in a graph $G$ is denoted $\gamma_b(G)$.
Laurent Beaudou, Richard C. Brewster
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The vertex leafage of chordal graphs [PDF]
, 2011 Every chordal graph $G$ can be represented as the intersection graph of a collection of subtrees of a host tree, a so-called {\em tree model} of $G$. The leafage $\ell(G)$ of a connected chordal graph $G$ is the minimum number of leaves of the host tree ...
Buneman +19 more
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The Dilworth Number of Auto-Chordal-Bipartite Graphs [PDF]
, 2013 The mirror (or bipartite complement) mir(B) of a bipartite graph B=(X,Y,E) has the same color classes X and Y as B, and two vertices x in X and y in Y are adjacent in mir(B) if and only if xy is not in E. A bipartite graph is chordal bipartite if none of
Berry, Anne +2 more
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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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Generating subgraphs in chordal graphs
Discrete Applied Mathematics, 2023 13 pages, 1 figure.
Vadim E. Levit, David Tankus
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Linear time determination of the scattering number for strictly chordal graphs [PDF]
, 2021 Lilian Markenzon +1 more
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Graph Decompositions and Factorizing Permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2002 A factorizing permutation of a given graph is simply a permutation of the vertices in which all decomposition sets appear to be factors. Such a concept seems to play a central role in recent papers dealing with graph decomposition. It is applied here for
Christian Capelle +2 more
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