Asymptotics for Euclidean functionals with power-weighted edges
β Scribed by C. Redmond; J.E. Yukich
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 796 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0304-4149
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π SIMILAR VOLUMES
Steele (1988 , Ann. Probab. 16, 1767-1787) has proved that the total length of several combinatorial optimization problems in R p involving trees with n nodes and -power-weighted edges is asymptotically c(p; )n (p-)=p , where 0 Β‘ 6p. In this paper we obtain bounds for these constants and give esti
Consider a random Euclidean graph G with a vertex set consisting of i.i.d. random variables with a common density f. Let the edge lengths |e|; e β G, be weighted by a function . We provide su cient conditions on G and guaranteeing that the total edge length functional eβG (|e|) satisΓΏes a strong law