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On lower bounds of number of perfect matchings in fullerene graphs

✍ Scribed by Tomislav Došlić


Book ID
110386431
Publisher
Springer
Year
1998
Tongue
English
Weight
46 KB
Volume
24
Category
Article
ISSN
0259-9791

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A note on the number of perfect matching
✍ Zhang Fuji; Zhang Heping 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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