๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On 2-factor hamiltonian regular bipartite graphs

โœ Scribed by Ku, Cheng Yeaw; Wong, Kok Bin


Book ID
118794925
Publisher
Akadmiai Kiad
Year
2012
Tongue
English
Weight
408 KB
Volume
138
Category
Article
ISSN
1588-2632

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On Hamiltonian bipartite graphs
โœ J. Moon; L. Moser ๐Ÿ“‚ Article ๐Ÿ“… 1963 ๐Ÿ› The Hebrew University Magnes Press ๐ŸŒ English โš– 133 KB
On two-factors of bipartite regular grap
โœ J.D. Horton ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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
โœ Alexander Schrijver ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 ร‚k k&2 is l