674 research outputs found
The Tutte Polynomial of a Morphism of Matroids 5. Derivatives as Generating Functions of Tutte Activities
We show that in an ordered matroid the partial derivative
\partial^{p+q}t/\partialx^p\partialyq of the Tutte polynomial is p!q! times the
generating function of activities of subsets with corank p and nullity q. More
generally, this property holds for the 3-variable Tutte polynomial of a matroid
perspective.Comment: 28 pages, 3 figures, 5 table
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