A Distributive Lattice on the Set of Perfect Matchings of a Plane Bipartite Graph
β Scribed by Peter Che Bor Lam; Heping Zhang
- Book ID
- 111542615
- Publisher
- Springer Netherlands
- Year
- 2003
- Tongue
- English
- Weight
- 176 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0167-8094
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
Let G be a bipartite graph with 2n vertices, A its adjacency matrix and K the number of perfect matchings. For plane bipartite graphs each interior face of which is surrounded by a circuit of length 4s + 2, s E { 1,2,. . .}, an elegant formula, i.e. det A = (-1 )nK2, had been rigorously proved by Cv