## Abstract It is conjectured that a 2(__k__ + 1)βconnected graph of order __p__ contains __k__ + 1 pairwise disjoint Hamiltonian cycles if no two of its vertices that have degree less than 1/2 + 2__k__ are distance two apart. This is proved in detail for __k__ = 1. Similar arguments establish the
Disjoint Hamiltonian cycles in recursive circulant graphs
β Scribed by C. Micheneau
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 499 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
β¦ Synopsis
We show in this paper that the circulant graph G( 2"', 4) is Hamiltonian decomposable, and propose a recursive construction method. This is a partial answer to a problem posed by B. Alspach. @
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