English

Algebra and valuations related to the Tutte polynomial

Combinatorics 2017-11-27 v1

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.

Keywords

Cite

@article{arxiv.1711.08816,
  title  = {Algebra and valuations related to the Tutte polynomial},
  author = {Michael J. Falk and Joseph P. S. Kung},
  journal= {arXiv preprint arXiv:1711.08816},
  year   = {2017}
}