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
Series-parallel posets and the Tutte polynomial
โ Scribed by Gary Gordon
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 912 KB
- Volume
- 158
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The notion of activities with respect to spanning trees in graphs was introduced by W.T. Tutte, and generalized to activities with respect to bases in matroids by H. Crapo. We present a further generalization, to activities with respect to arbitrary subsets of matroids. These generalized activities
For each pair of algebraic numbers (x, y) and each field F, the complexity of computing the Tutte polynomial T(M; x, y) of a matroid M representable over F is determined. This computation is found to be \*P-complete except when (x&1)( y&1)=1 or when |F| divides (x&1)( y&1) and (x, y) is one of the s