Algebra and valuations related to the Tutte polynomial

2017/11/23 by Michael Falk, Falk, Michael J., Joseph P. S. Kung +1
Mathematics · #05B35 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1711.08816

openalex publication_date 2017/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a chapter destined for the book "Handbook of the Tutte Polynomial". The chapter is a composite. The first part is a brief introduction to Orlik-Solomon algebras. The second part sketches the theory of evaluative functions on matroid base polytopes and in particular, the G-invariant (as the subject is known late 2015). A third very short section is on Hopf-algebra or coalgebra structures in Tutte polynomial theory.

Related

• Chain Tutte polynomials
• Universal Tutte polynomial
• A generalization of the Tutte polynomials
• A convolution formula for Tutte polynomials of arithmetic matroids and other combinatorial structures
• Tutte polynomials of matroids as universal valuative invariants