Code Enumerators and Tutte Polynomials
β Scribed by Britz, T.
- Book ID
- 114642276
- Publisher
- IEEE
- Year
- 2010
- Tongue
- English
- Weight
- 206 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0018-9448
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π SIMILAR VOLUMES
We introduce a class of deterministic lattice models of failure, Abelian avalanche (AA) models, with continuous phase variables, similar to discrete Abelian sandpile (ASP) models. We investigate analytically the structure of the phase space and statistical properties of avalanches in these models. W
## Abstract We define two twoβvariable polynomials for rooted trees and one twoβvariable polynomial for unrooted trees, all of which are based on the coranknullity formulation of the Tutte polynomial of a graph or matroid. For the rooted polynomials, we show that the polynomial completely determine