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Transient Nearest Neighbor Random Walk and Bessel Process

✍ Scribed by Endre Csáki; Antónia Földes; Pál Révész


Publisher
Springer US
Year
2008
Tongue
English
Weight
429 KB
Volume
22
Category
Article
ISSN
0894-9840

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The random bipartite nearest neighbor gr
✍ Boris Pittel; Robert S. Weishaar 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 301 KB

The bipartite kth nearest neighbor graphs B are studied. It is shown that B k 1 has a limiting expected matching number of approximately 80% of its vertices, that with high Ž . probability whp B has at least 2 log nr13 log log n vertices not matched, and that whp B 2 3 does have a perfect matching.