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 G 2 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 d
-labeling of dually chordal graphs and strongly orderable graphs
β Scribed by B.S. Panda; Preeti Goel
- Book ID
- 113663365
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 159 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0020-0190
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π SIMILAR VOLUMES
In this paper, we present a simple charactrization of strongly chordal graphs. A chordal graph is strongly chordal if and only if every cycle on six or more vertices has an induced triangle with exactly two edges of the triangle as the chords of the cycle. (~
Chordal graphs are graphs with the property that each cycle of length greater than 3 has two non-consecutive vertices that are joined by an edge. An important subclass of chordal graphs are strongly chordal graphs (Farber, 1983). Chordal graphs appear for example in the design of acyclic data base s