We show that any k-regular bipartite graph with 2n vertices has at least \ (k&1) k&1 k k&2 + n perfect matchings (1-factors). Equivalently, this is a lower bound on the permanent of any nonnegative integer n\_n matrix with each row and column sum equal to k. For any k, the base (k&1) k&1 Γk k&2 is l
On two-factors of bipartite regular graphs
β Scribed by J.D. Horton
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 654 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0012-365X
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β¦ Synopsis
The set of two-factors of a bipartite k-regular graph, k > 2, spans the cycle space of the graph. In addition, a new non-hamiltonian T-connected bicubic graph on 92 vertices is constructed.
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