CD-index for CW-posets

Satoshi Murai*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter


The flag f-vector is a basic combinatorial invariant of graded posets that counts the number of chains. For an Eulerian poset, its flag f-vector is efficiently encoded by a certain non-commutative polynomial, called the cd-index. In this note, we give an extensions of the cd-index which can be defined for all CW-posets that are not necessary Eulerian. The details for this work are provided in our paper (Murai and Yanagawa, Squarefree P-modules and the cd-index, Adv. Math. 265, 241–279 (2014).).

Original languageEnglish
Title of host publicationSpringer INdAM Series
PublisherSpringer International Publishing
Number of pages4
Publication statusPublished - 2015
Externally publishedYes

Publication series

NameSpringer INdAM Series
ISSN (Print)2281-518X
ISSN (Electronic)2281-5198

ASJC Scopus subject areas

  • Mathematics(all)


Dive into the research topics of 'CD-index for CW-posets'. Together they form a unique fingerprint.

Cite this