Journal
JOURNAL OF MATHEMATICAL CHEMISTRY
Volume 51, Issue 1, Pages 354-368Publisher
SPRINGER
DOI: 10.1007/s10910-012-0087-6
Keywords
Kekule structure; Polyomino; Torus; Pfaffian orientation
Funding
- NSFC [10831001, 11171279]
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Let G be a (molecule) graph. A perfect matching, or Kekul, structure of G is a set of independent edges covering every vertex exactly once. Enumeration of Kekul, structures of a (molecule) graph is interest in chemistry, physics and mathematics. In this paper, we focus on some polyominos on the torus and obtain the explicit expressions on the number of the Kekul, structures of them.
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