Distance Approximating Trees for Chordal and Dually Chordal Graphs
نویسندگان
چکیده
منابع مشابه
Distance Approximating Trees for Chordal and Dually Chordal Graphs
In this paper we show that, for each chordal graph G, there is a tree T such that T is a spanning tree of the square G2 of G and, for every two vertices, the distance between them in T is not larger than the distance in G plus 2. Moreover, we prove that, if G is a strongly chordal graph or even a dually chordal graph, then there exists a spanning tree T of G that is an additive 3-spanner as wel...
متن کاملDistance Approximating Trees for Chordal and Dually Chordal Graphs (Extended Abstract)
In this paper we show that, for each chordal graph G, there is a tree T such that T is a spanning tree of the square G2 of G and, for every two vertices, the distance between them in T is not larger than the distance in G plus 2. Moreover, we prove that, if G is a strongly chordal graph or even a dually chordal graph, then there exists a spanning tree T of G that is an additive 3-spanner as wel...
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Recently in several papers, graphs with maximum neighborhood orderings were characterized and turned out to be algorithmically useful. This paper gives a unified framework for characterizations of those graphs in terms of neighborhood and clique hypergraphs which have the Helly property and whose line graph is chordal. These graphs are dual (in the sense of hypergraphs) to chordal graphs. By us...
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A distance-k matching in a graph G is matching M in which the distance between any two edges of M is at least k. A distance-2 matching is more commonly referred to as an induced matching. In this paper, we show that when G is weakly chordal, the size of the largest induced matching in G is equal to the minimum number of co-chordal subgraphs of G needed to cover the edges of G, and that the co-c...
متن کاملSpecial Eccentric Vertices for Chordal and Dually Chordal Graphs and Related Classes
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ژورنال
عنوان ژورنال: Journal of Algorithms
سال: 1999
ISSN: 0196-6774
DOI: 10.1006/jagm.1998.0962