Z-transformation graphs of perfect matchings of hexagonal systems
โ Scribed by Zhang Fu-ji; Guo Xiao-feng; Chen Rong-si
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 599 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
A plane graph is called symmetric if it is invariant under the reflection across some straight line. We prove a result that expresses the number of perfect matchings of a large class of symmetric graphs in terms of the product of the number of matchings of two subgraphs. When the graph is also centr
A cellular graph is a graph whose edges can be partitioned into 4-cycles (called cells) so that each vertex is contained in at most two cells. We present a ``Complementation Theorem'' for the number of matchings of certain subgraphs of cellular graphs. This generalizes the main result of M. Ciucu (J