We consider models for random interval graphs that are based on stochastic service systems, with vertices corresponding to customers and edges corresponding to pairs of customers that are in the system simultaneously. The number N of vertices in a connected component thus corresponds to the number o
Random interval graphs
โ Scribed by E. R. Scheinerman
- Publisher
- Springer-Verlag
- Year
- 1988
- Tongue
- English
- Weight
- 663 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0209-9683
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๐ SIMILAR VOLUMES
A graph G = (V, E) is said to be represented by a family F of nonempty sets if there is a bijection f:V--\*F such that uv ~E if and only iff(u)Nf(v)q=~. It is proved that if G is a countable graph then G can be represented by open intervals on the real line if and only if G can be represented by clo
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
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