Valuative invariants on ma troid basis polytopes

Michael J. Falk, Joseph P.S. Kung

Research output: Chapter in Book/Report/Conference proceedingChapter


The Tutte polynomial is a valuative invariant on matroid basis polytopes. We give an introduction to such invariants, focusing on the g-invariant, which is the universal valuative invariant, and its relation to the Tutte polynomial. • Valuative functions on matroid base polytopes. • The g-invariant and its specialization to the Tutte polynomial.

Original languageEnglish (US)
Title of host publicationHandbook of the Tutte Polynomial and Related Topics
PublisherCRC Press
Number of pages8
ISBN (Electronic)9780429161612
ISBN (Print)9781482240627
StatePublished - Jul 6 2022

ASJC Scopus subject areas

  • General Computer Science
  • General Mathematics


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