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Strong laws for Euclidean graphs with general edge weights

✍ Scribed by Raúl Jiménez; J.E. Yukich

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
123 KB
Volume
56
Category
Article
ISSN
0167-7152

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✦ Synopsis

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 ∈ G, be weighted by a function . We provide su cient conditions on G and guaranteeing that the total edge length functional e∈G (|e|) satisÿes a strong law of large numbers. The limiting constant is shown to depend explicitly on f and .

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