On rank-perfect subclasses of near-bipartite graphs
β Scribed by Annegret K. Wagler
- Book ID
- 106308154
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 93 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1619-4500
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π SIMILAR VOLUMES
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
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