Specht modules and chromatic polynomials
Biggs, N.
(2003).
Specht modules and chromatic polynomials.
(CDAM research report LSE-CDAM-2003-06).
Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science.
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) |
|---|---|
| Copyright holders | © 2003 the author |
| Departments | LSE > Academic Departments > Mathematics |
| Date Deposited | 05 Dec 2008 |
| URI | https://researchonline.lse.ac.uk/id/eprint/14015 |