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Graph searching on chordal graphs
1996Two variations of the graph searching problem, edge searching and node searching, are studied on several classes of chordal graphs, which include split graphs, interval graphs and k-starlike graphs.
Sheng-Lung Peng +4 more
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Graphs and Combinatorics, 1991
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On hypergraph acyclicity and graph chordality
Information Processing Letters, 1988Concepts of acyclicity in hypergraphs and chordality in graphs are related by showing that a hierarchy of well-studied classes of chordal graphs corresponds to the hierarchy of classes of acyclic hypergraphs studied in relational database theory [\textit{R. Fagin}, J. Assoc. Comput. Mach. 30, 514-550 (1983; Zbl 0624.68088)].
D'ATRI, Alessandro, MOSCARINI, Marina
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Clique Partitions of Chordal Graphs
Combinatorics, Probability and Computing, 1993To partition the edges of a chordal graph on n vertices into cliques may require as many as n2/6 cliques; there is an example requiring this many, which is also a threshold graph and a split graph. It is unknown whether this many cliques will always suffice. We are able to show that (1 − c)n2/4 cliques will suffice for some c > 0.
Paul Erdös +2 more
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What Is between Chordal and Weakly Chordal Graphs?
2008An (h ,s ,t )-representation of a graph G consists of a collection of subtrees {S v | v *** V (G )} of a tree T , such that (i) the maximum degree of T is at most h , (ii) every subtree has maximum degree at most s , and (iii) there is an edge between two vertices in the graph if and only if the corresponding subtrees in T have at least t vertices in ...
Elad Cohen +3 more
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Dominating Sets in Chordal Graphs
SIAM Journal on Computing, 1982A set of vertices D is a dominating set for a graph if every vertex is either in D or adjacent to a vertex which is in D. We show that the problem of finding a minimum dominating set in a chordal graph is NP-complete, even when restricted to undirected path graphs, but exhibit a linear time greedy algorithm for the problem further restricted to ...
Kellogg S. Booth, J. Howard Johnson
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The dual polyhedron to the chordal graph polytope and the rebuttal of the chordal graph conjecture
International Journal of Approximate Reasoning, 2021Milan Studeny +2 more
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Intersection graphs of induced subtrees of any graph and a generalization of chordal graphs
Discrete Applied Mathematics, 2022Pablo De Caria
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Reconfiguration graph for vertex colourings of weakly chordal graphs
Discrete Mathematics, 2020Carl Feghali, Jir̂í Fiala
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On groups with chordal power graph, including a classification in the case of finite simple groups
Journal of Algebraic Combinatorics, 2023Eda Kaja
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