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On powers and centers of chordal graphs

✍ Scribed by Renu Laskar; Douglas Shier


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
486 KB
Volume
6
Category
Article
ISSN
0166-218X

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πŸ“œ SIMILAR VOLUMES


Graphs whose powers are chordal and grap
✍ Flotow, Carsten πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 127 KB πŸ‘ 3 views

The main theorem of this paper gives a forbidden induced subgraph condition on G that is sufficient for chordality of G m . This theorem is a generalization of a theorem of Balakrishnan and Paulraja who had provided this only for m = 2. We also give a forbidden subgraph condition on G that is suffi

LexBFS-orderings and powers of chordal g
✍ Andreas BrandstΓ€dt; Feodor F. Dragan; Falk Nicolai πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 824 KB

For an undirected graph G the kth power G k of G is the graph with the same vertex set as G where two vertices are adjacent iff their distance is at most k in G. In this paper we prove that any LexBFS-ordering of a chordal graph is a common perfect elimination ordering of all odd powers of this grap

Perfect elimination orderings of chordal
✍ Andreas BrandstΓ€dt; Victor D. Chepoi; Feodor F. Dragan πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 378 KB

Let G = (V,E) be a finite undirected connected graph. We show that there is a common perfect elimination ordering of all powers of G which represent chordal graphs. Consequently, if G and all of its powers are chordal then all these graphs admit a common perfect elimination ordering. Such an orderin

On the chordality of a graph
✍ Terry A. McKee; Edward R. Scheinerman πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 574 KB

## Abstract The __chordality__ of a graph __G__ = (__V, E__) is defined as the minimum __k__ such that we can write __E__ = __E__~1~ ∩ … ∩ __E__~__k__~ with each (__V, E__~__i__~) a chordal graph. We present several results bounding the value of this generalization of boxicity. Our principal result