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 รk k&2 is l
Counting 1-factors in infinite graphs
โ Scribed by Ron Aharoni; Mao Lin Zheng
- Book ID
- 103500669
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 627 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0095-8956
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