Chetwynd, Amanda G. and Hilton, A. J. W. (1985) Regular Graphs of High Degree are 1-Factorizable. Proceedings of the London Mathematical Society, Series (2). pp. 193-206.Full text not available from this repository.
It is a well-known conjecture that if a regular graph G of order 2n has degree d(G) satisfying d(G) n, then G is the union of edge-disjoint 1-factors. It is well known that this conjecture is true for d(G) equal to 2n—1 or 2n—2. We show here that it is true for d(G) equal to 2n — 3, 2n — 4, or 2n — 5. We also show that it is true for d(G) |V(G)|.
|Journal or Publication Title:||Proceedings of the London Mathematical Society|
|Subjects:||Q Science > QA Mathematics|
|Departments:||Faculty of Science and Technology > Mathematics and Statistics|
|Deposited By:||Prof Amanda Chetwynd|
|Deposited On:||21 Nov 2008 16:25|
|Last Modified:||26 Jul 2012 15:36|
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