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Separator Theorems for Interval Graphs and Proper Interval Graphs
2015C.L.Monma and V.K.Wei [1986, J. Comb. Theory, Ser-B, 41, 141-181] proposed a unified approach to characterize several subclasses of chordal graphs using clique separator. The characterizations so obtained are called separator theorems. Separator theorems play an important role in designing algorithms in subclasses of chordal graphs.
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Interval valued m-polar fuzzy planar graph and its application
Artificial Intelligence Review, 2020Tanmoy Mahapatra +3 more
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Persistent graph stream summarization for real-time graph analytics
World wide web (Bussum), 2023Yan Jia +4 more
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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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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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Journal of Graph Theory, 1982
AbstractGiven a set F of digraphs, we say a graph G is a F‐graph (resp., F*‐graph) if it has an orientation (resp., acyclic orientation) that has no induced subdigraphs isomorphic to any of the digraphs in F. It is proved that all the classes of graphs mentioned in the title are F‐graphs or F*‐graphs for subsets F of a set of three digraphs.
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AbstractGiven a set F of digraphs, we say a graph G is a F‐graph (resp., F*‐graph) if it has an orientation (resp., acyclic orientation) that has no induced subdigraphs isomorphic to any of the digraphs in F. It is proved that all the classes of graphs mentioned in the title are F‐graphs or F*‐graphs for subsets F of a set of three digraphs.
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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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Decision-making method based on the interval valued neutrosophic graph
Future Technologies Conference, 2016S. Broumi +3 more
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Interval fuzzy preferences in the graph model for conflict resolution
Fuzzy Optimization and Decision Making, 2017M. A. Bashar +3 more
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Modeling Fuzzy and Interval Fuzzy Preferences Within a Graph Model Framework
IEEE transactions on fuzzy systems, 2016M. Abul Bashar +3 more
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