Parallel connections and coloured Tutte polynomials (Q1772425)
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scientific article; zbMATH DE number 2157740
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parallel connections and coloured Tutte polynomials |
scientific article; zbMATH DE number 2157740 |
Statements
Parallel connections and coloured Tutte polynomials (English)
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18 April 2005
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Recursive computations are used by the author to give formulas for the Tutte polynomials of parallel and series connections of weighted matroids, generalizing and unifying formulas of \textit{J. G. Oxley} and \textit{D. J. A. Welsh} [Discrete Math. 109, 185--192 (1992; Zbl 0780.05011)], as well as \textit{B. Bollobás} and \textit{O. Riordan} [Comb. Probab. Comput. 8, 45--93 (1999; Zbl 0926.05017)]. As a corollary to the main result formulas for the tension and flow polynomials as in \textit{D. R. Woodall} [Discrete Math. 247, 201--213 (2002; Zbl 0996.05054)] are obtained.
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series connection
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2-sum
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tension polynomial
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flow polynomial
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