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Pseudo 2-factor isomorphic regular bipartite graphs

✍ Scribed by M. Abreu; A.A. Diwan; Bill Jackson; D. Labbate; J. Sheehan


Book ID
108167436
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
156 KB
Volume
98
Category
Article
ISSN
0095-8956

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πŸ“œ SIMILAR VOLUMES


On two-factors of bipartite regular grap
✍ J.D. Horton πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 654 KB

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.

Counting 1-Factors in Regular Bipartite
✍ Alexander Schrijver πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 325 KB

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 Γ‚k k&2 is l