𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Regular bipartite graphs with all 2-factors isomorphic

✍ Scribed by R.E.L. Aldred; M. Funk; Bill Jackson; D. Labbate; J. Sheehan


Book ID
108167368
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
237 KB
Volume
92
Category
Article
ISSN
0095-8956

No coin nor oath required. For personal study only.


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