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Perfect Matchings of Cellular Graphs

✍ Scribed by Mihai Ciucu


Book ID
114421611
Publisher
Springer
Year
1996
Tongue
English
Weight
742 KB
Volume
5
Category
Article
ISSN
0925-9899

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πŸ“œ SIMILAR VOLUMES


A Complementation Theorem for Perfect Ma
✍ Mihai Ciucu πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 589 KB

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

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A graph with at least two vertices is matching covered if it is connected and each edge lies in some perfect matching. A matching covered graph G is extremal if the number of perfect matchings of G is equal to the dimension of the lattice spanned by the set of incidence

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