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Orbit Counting and the Tutte Polynomial

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

Abstract

This chapter summarizes the various attempts to extend the Tutte polynomial of a matroid to a polynomial which counts orbits of a group on various sets of objects that the usual Tutte polynomial counts. In other words, the aim is to produce a hybrid of the Tutte polynomial and the cycle index polynomial. There have been various attempts at this, some of which are good for some aims but not for others.

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Details

Original languageEnglish
Title of host publicationCombinatorics, Complexity, and Chance
Subtitle of host publicationA Tribute to Dominic Welsh
PublisherOxford University Press
ISBN (Electronic)9780191718885
ISBN (Print)9780198571278
DOIs
Publication statusPublished - 1 Sep 2007

    Research areas

  • Cycle index polynomial, Flow and tension polynomials, Matroid, Orbit counting, Orbital chromatic polynomial, Tutte polynomial

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