𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Perfect matchings and ears in elementary bipartite graphs

✍ Scribed by Pierre Hansen; Fuji Zhang; Maolin Zheng


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
386 KB
Volume
176
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis


We give lower and upper bounds for the number of reducible ears as well as upper bounds for the number of perfect matchings in an elementary bipartite graph. An application to chemical graphs is also discussed. In addition, a method to construct all minimal elementary bipartite graphs is described.


πŸ“œ SIMILAR VOLUMES


Special parity of perfect matchings in b
✍ Ron Aharoni; Rachel Manber; Bronislaw Wajnryb πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 527 KB

Let G be a bipartite graph in which every edge belongs to some perfect matching, and let D be a subset of its edge set. It is shown that M fl D has the same parity for every perfect matching M if and only if D is a cut, and equivalently if and only. if (G, D) is a balanced signed-graph. This gives n

Z-transformation graphs of perfect match
✍ Heping Zhang; Fuji Zhang; Haiyuan Yao πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 343 KB

Let G be a plane bipartite graph with at least two perfect matchings. The Z-transformation graph, ZF (G), of G with respect to a speciΓΏc set F of faces is deΓΏned as a graph on the perfect matchings of G such that two perfect matchings M1 and M2 are adjacent provided M1 and M2 di er only in a cycle t

The rotation graphs of perfect matchings
✍ Heping Zhang; Fuji Zhang πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 517 KB

In the present paper, the minimal proper alternating cycle (MPAC) rotation graph R(G) of perfect matchings of a plane bipartite graph G is defined. We show that an MPAC rotation graph R(G) of G is a directed rooted tree, and thus extend such a result for generalized polyhex graphs to arbitrary plane

Induced matchings in bipartite graphs
✍ R.J. Faudree; A. GyΓ‘rfas; R.H. Schelp; Zs. Tuza πŸ“‚ Article πŸ“… 1989 πŸ› Elsevier Science 🌐 English βš– 454 KB