Chordal bipartite, strongly chordal, and strongly chordal bipartite graphs
نویسندگان
چکیده
منابع مشابه
Strongly Chordal and Chordal Bipartite Graphs Are Sandwich Monotone
A graph class is sandwich monotone if, for every pair of its graphs G1 = (V,E1) and G2 = (V,E2) with E1 ⊂ E2, there is an ordering e1, . . . , ek of the edges in E2 \E1 such that G = (V,E1 ∪ {e1, . . . , ei}) belongs to the class for every i between 1 and k. In this paper we show that strongly chordal graphs and chordal bipartite graphs are sandwich monotone, answering an open question by Bakon...
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In this paper those graphs are studied for which a so-called strong ordering of the vertex set exists. This class of graphs, called strongly orderable graphs, generalizes the strongly chordal graphs and the chordal bipartite graphs in a quite natural way. We consider two characteristic elimination orderings for strongly orderable graphs, one on the vertex set and the second on the edge set, and...
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This paper deals with the graph isomorphism (GI) problem for two graph classes: chordal bipartite graphs and strongly chordal graphs. It is known that GI problem is GI complete even for some special graph classes including regular graphs, bipartite graphs, chordal graphs, comparability graphs, split graphs, and k-trees with unbounded k. On the other side, the relative complexity of the GI probl...
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Several graph problems (e.g., steiner tree, connected domination, hamiltonian path, and isomorphismproblem), which can be solved in polynomialtime for distance-hereditary graphs, are NP-complete or open for parity graphs. Moreover, the metric characterizations of these two graph classes suggest an excessive gap between them. We introduce a family of classes forming an innnite lattice with respe...
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A graph G is chordal-bipartite probe if its vertices can be partitioned into two sets P (probes) and N (non-probes) where N is a stable set and such thatG can be extended to a chordal-bipartite graph by adding edges between non-probes. A bipartite graph is called chordal-bipartite if it contains no chordless cycle of length strictly greater than 5. Such probe/non-probe completion problems have ...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2003
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(02)00674-x