The complexities of the coefficients of the Tutte polynomial
โ Scribed by J.D. Annan
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 518 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
W. T. Tutte conjectured that the coefficients \(t_{i, j}\) of his dichromate form unimodal sequences in \(i\) and \(j\) separately. P. D. Seymour and D. J. A. Welsh conjectured more generally that the same holds for the coefficients of the Tutte polynomial of an arbitrary matroid. We show, by an exa
This is a close approximation to the content of my lecture. After a brief survey of well known properties, I present some new interpretations relating to random graphs, lattice point enumeration, and chip firing games. I then examine complexity issues and concentrate in particular, on the existence
For any matroid M realizable over Q , we give a combinatorial interpretation of the Tutte polynomial T M (x, y) which generalizes many of its known interpretations and specializations, including Tutte's coloring and flow interpretations of T M (1t, 0), T M (0, 1t); Crapo and Rota's finite field inte