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Hamilton Cycles in Random Graphs with a Fixed Degree Sequence

✍ Scribed by Cooper, Colin; Frieze, Alan; Krivelevich, Michael


Book ID
118197777
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
212 KB
Volume
24
Category
Article
ISSN
0895-4801

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πŸ“œ SIMILAR VOLUMES


Edge disjoint Hamilton cycles in sparse
✍ BollobοΏ½s, B.; Cooper, C.; Fenner, T. I.; Frieze, A. M. πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 175 KB πŸ‘ 3 views

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

On the number of hamilton cycles in a ra
✍ C. Cooper; A. M. Frieze πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 576 KB

Let a random graph G be constructed by adding random edges one by one, starting with n isolated vertices. We show that with probability going to one as n goes to infinity, when G first has minimum degree two, it has at least (log n)('-')" distinct hamilton cycles for any fixed E > 0.