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Characterizing interval graphs which are probe unit interval graphs
Discrete Applied Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Chordal graphs, interval graphs, and wqo
Journal of Graph Theory, 1998Let \(\preceq\) be the induced-minor relation. It is shown that, for every \(t\), all chordal graphs of clique number at most \(t\) are well-quasi-ordered by \(\preceq\). On the other hand, if the bound on the clique number is dropped, even the class of interval graphs is not well-quasi-ordered by \(\preceq\).
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Listing Chordal Graphs and Interval Graphs
2006We propose three algorithms for enumeration problems; given a graph G, to find every chordal supergraph (in Kn) of G, to find every interval supergraph (in Kn) of G, and to find every interval subgraph of G in Kn. The algorithms are based on the reverse search method.
Masashi Kiyomi +2 more
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2001
A bipartite graph with partitions \(P\) and \(C\) is called an interval bigraph, if there exists a family of intervals which associates each vertex of \(G=(V, E)\) with an interval, and for \(x,y \in V\) the edge between \(x\) and \(y\) is in \(E\) if the corresponding intervals intersect and at least one of \(x\) and \(y\) is in \(P\). After a lengthy
Brown, David E. +2 more
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A bipartite graph with partitions \(P\) and \(C\) is called an interval bigraph, if there exists a family of intervals which associates each vertex of \(G=(V, E)\) with an interval, and for \(x,y \in V\) the edge between \(x\) and \(y\) is in \(E\) if the corresponding intervals intersect and at least one of \(x\) and \(y\) is in \(P\). After a lengthy
Brown, David E. +2 more
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Knowledge Graphs: Opportunities and Challenges
Artificial Intelligence Review, 2023Ciyuan Peng +2 more
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Distinct Classes of Complex Structural Variation Uncovered across Thousands of Cancer Genome Graphs
Cell, 2020Kevin Hadi +2 more
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