Forest decompositions of graphs with cyclomatic number 2

E. J. Farrell

International Journal of Mathematics and Mathematical Sciences, 1983, vol. 6, 1-12

Abstract:

The tree polynomials [1] of the basic graphs with cyclomatic number 2 are derived. From these polynomials, results about forest decompositions are deduced. Explicit formulae are given for the number of decompositions of the basic graphs into forest with specified finite cardinalities.

Date: 1983
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DOI: 10.1155/S0161171283000113

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