The theory of random graphs has been mainly concerned with structural w x properties, in particular the most likely values of various graph invariantsαsee Bollobas 21 . There has been increasing interest in using random graphs as models for the average case analysis of graph algorithms. In this pap
β¦ LIBER β¦
Theory of random graphs
β Scribed by I. N. Kovalenko
- Publisher
- Springer US
- Year
- 1974
- Tongue
- English
- Weight
- 214 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1573-8337
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In the paper we study the asymptotic behavior of the number of trees with n Ε½ . Ε½ . vertices and diameter k s k n , where n y k rnΒͺ a as n Βͺ Ο± for some constant a-1. We use this result to determine the limit distribution of the diameter of the random graph Ε½ .