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Extremal Graphs With a Given Number of Perfect Matchings

✍ Scribed by Stephen G. Hartke; Derrick Stolee; Douglas B. West; Matthew Yancey


Book ID
112121148
Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
771 KB
Volume
73
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A note on the number of perfect matching
✍ Zhang Fuji; Zhang Heping πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 484 KB

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