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 trees and random graphs
✍ Scribed by Tomasz Łuczak
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 205 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1042-9832
No coin nor oath required. For personal study only.
✦ Synopsis
In the paper we study the asymptotic behavior of the number of trees with n Ž .
Ž . vertices and diameter k s k n , where n y k rnª a as n ª ϱ for some constant a-1. We use this result to determine the limit distribution of the diameter of the random graph Ž .
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