Specht modules and chromatic polynomials
Biggs, Norman
(2003)
Specht modules and chromatic polynomials
Technical Report.
Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.
An explicit formula for the chromatic polynomials of certain families of graphs, called ‘bracelets’, is obtained. The terms correspond to irreducible representations of symmetric groups. The theory is developed using the standard bases for the Specht modules of representation theory, and leads to an effective means of calculation.
| Item Type | Report (Technical Report) |
|---|---|
| Departments | Mathematics |
| Date Deposited | 05 Dec 2008 14:15 |
| URI | https://researchonline.lse.ac.uk/id/eprint/14015 |