Edge-Disjoint Hamilton Cycles in Regular Graphs of Large Degree
β Scribed by Jackson, B.
- Book ID
- 120096679
- Publisher
- Oxford University Press
- Year
- 1979
- Tongue
- English
- Weight
- 122 KB
- Volume
- s2-19
- Category
- Article
- ISSN
- 0024-6107
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π SIMILAR VOLUMES
We prove that any k-regular directed graph with no parallel edges contains a collection of at least fl(k2) edge-disjoint cycles; we conjecture that in fact any such graph contains a collection of at least ( lCi1 ) disjoint cycles, and note that this holds for k 5 3. o 1996
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