Coloring Powers of Chordal Graphs
✍ Scribed by Král', Daniel
- Book ID
- 118198891
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2004
- Tongue
- English
- Weight
- 170 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
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
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