Forest decompositions of graphs with cyclomatic number 3

The simple tree polynomials of the basic graphs with cyclomatic number 3 are derived. From these results, explicit formulae for the number of decompositions of the graphs into forests with specified cardinalities are extracted. Explicit expressions are also given for the number of spanning forests a...

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Bibliographic Details
Main Author: E. J. Farrell
Format: Article
Language:English
Published: Wiley 1983-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171283000484
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