We determine the limiting distribution of the maximum vertex degree 2 n in a random triangulation of an n-gon, and show that it is the same as that of the maximum of n independent identically distributed random variables G 2 , where G 2 is the sum of two independent geometric(1Â2) random variables.
The distribution of the maximum degree of a random graph
✍ Scribed by Béla Bollobás
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 184 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
Consider I:andom graphs with n labelled vertices in which the edges are chosen independently and with a 6lxed probability p, 0 <p C 1. Let y be a fixed real number, q = 1p, and denote by A the maximum degree. Then
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