On the colored Tutte polynomial of a graph of bounded treewidth

نویسنده

  • Lorenzo Traldi
چکیده

We observe that a formula given by S. Negami [Trans. Amer. Math. Soc. 299 (1987), 601-622] for the Tutte polynomial of a k -sum of two graphs generalizes to a colored Tutte polynomial. Consequently an algorithm of A. Andrzejak [Discrete Math. 190 (1998), 39-54] may be directly adapted to compute the colored Tutte polynomial of a graph of bounded treewidth in polynomial time. This result has also been proven by J. A. Makowsky [Discrete Appl. Math. 145 (2005), 276-290], using a di¤erent algorithm based on logical techniques.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 154  شماره 

صفحات  -

تاریخ انتشار 2006