Set maps, umbral calculus, and the chromatic polynomial
| dc.creator | Wiseman, Gus | |
| dc.date | 2005-07-03 | |
| dc.date | 2007-07-05 | |
| dc.date.accessioned | 2026-07-07T08:14:12Z | |
| dc.date.available | 2026-07-07T08:14:12Z | |
| dc.description | Some important properties of the chromatic polynomial also hold for any polynomial set map satisfying p_S(x+y)=\sum_{T\uplus U=S}p_T(x)p_U(y). Using umbral calculus, we give a formula for the expansion of such a set map in terms of any polynomial sequence of binomial type. This leads to some new expansions of the chromatic polynomial. We also describe a set map generalization of Abel polynomials. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0507038 | |
| dc.identifier | http://arxiv.org/abs/math/0507038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/133037 | |
| dc.subject | Combinatorics | |
| dc.subject | 05C15 (Primary) 05A40, 05A18 (Secondary) | |
| dc.title | Set maps, umbral calculus, and the chromatic polynomial | |
| dc.type | text |