open access

https://hdl.handle.net/2115/76004

Euler characteristic reciprocity for chromatic, flow and order polynomials

英語

2017

Journal of Singularities

16

212--227

The Euler characteristic of a semialgebraic set can be considered as a generalization of the cardinality of a finite set. An advantage of semialgebraic sets is that we can define "negative sets" to be the sets with negative Euler characteristics. Applying this idea to posets, we introduce the notion of semialgebraic posets. Using "negative posets", we establish Stanley's reciprocity theorems for order polynomials at the level of Euler characteristics. We also formulate the Euler characteristic reciprocities for chromatic and flow polynomials.

学術雑誌論文

Version of Record

1949-2006