𝔖 Bobbio Scriptorium
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Interval graphs and related topics

✍ 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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πŸ“œ SIMILAR VOLUMES


On partitioning interval graphs into pro
✍ FrΓ©dΓ©ric Gardi πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 164 KB

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

Interval graphs and interval orders
✍ Peter C. Fishburn πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 949 KB

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

Recognizing edge clique graphs among int
✍ Jing Kong; Yaokun Wu πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 250 KB

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} ∩ {interval graphs} as well as {edge clique grap

Chordal graphs, interval graphs, and wqo
✍ Ding, Guoli πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 240 KB πŸ‘ 1 views

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 .

Interval graphs and seatching
✍ Lefteris M. Kirousis; Christos H. Papadimitriou πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 247 KB