Interval graphs and related topics
β Scribed by Martin Charles Golumbic
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 643 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
In this paper, we establish that any interval graph (resp. circulararc graph) with n vertices admits a partition into at most log 3 n (resp. log 3 n +1) proper interval subgraphs, for n>1. The proof is constructive and provides an efficient algorithm to compute such a partition. On the other hand, t
This paper explores the intimate connection between finite interval graphs and interval orders. Special attention is given to the family of interval orders that agree with, or provide representations of, an interval graph. Two characterizations (one by P. Hanlon) of interval graphs with essentially
The edge clique graph of a graph H is the one having the edge set of H as vertex set, two vertices being adjacent if and only if the corresponding edges belong to a common complete subgraph of H . We characterize the graph classes {edge clique graphs} β© {interval graphs} as well as {edge clique grap
Let be the induced-minor relation. It is shown that, for every t, all chordal graphs of clique number at most t are well-quasi-ordered by . On the other hand, if the bound on clique number is dropped, even the class of interval graphs is not well-quasi-ordered by .