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Optimal Packings of Hamilton Cycles in Sparse Random Graphs

✍ Scribed by Krivelevich, Michael; Samotij, Wojciech


Book ID
118197975
Publisher
Society for Industrial and Applied Mathematics
Year
2012
Tongue
English
Weight
279 KB
Volume
26
Category
Article
ISSN
0895-4801

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Let G n,m,k denote the space of simple graphs with n vertices, m edges, and minimum degree at least k, each graph G being equiprobable. Let G have property A k , if G contains (k -1)/2 edge disjoint Hamilton cycles, and, if k is even, a further edge disjoint matching of size n/2 . We prove that, for

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