The complexities of the coefficients of the Tutte polynomial

The complexities of the coefficients of the Tutte polynomial

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Article ID: iaor1997985
Country: Netherlands
Volume: 57
Issue: 2/3
Start Page Number: 93
End Page Number: 103
Publication Date: Feb 1995
Journal: Discrete Applied Mathematics
Authors:
Keywords: Tutte polynomial
Abstract:

The complexity of calculating the coefficients of the Tutte polynomial of a graph is considered. The calculation of some coefficients is shown to be ¸ℝP-complete, whereas some other coefficients can be computed in polynomial time. However, even for a hard coefficient, it can be decided in polynomial time whether it is less than a fixed constant.

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