Euler characteristic reciprocity for chromatic, flow and order polynomials


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/76004

Title:	Euler characteristic reciprocity for chromatic, flow and order polynomials
Authors:	Hasebe, Takahiro Browse this author →KAKEN DB
	Miyatani, Toshinori Browse this author
	Yoshinaga, Masahiko Browse this author
Issue Date:	2017
Journal Title:	Journal of Singularities
Volume:	16
Start Page:	212-
End Page:	227
Publisher DOI:	10.5427/jsing.2017.16k
Abstract:	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.
Type:	article
URI:	http://hdl.handle.net/2115/76004
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 長谷部高広

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