Abstract
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).).
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Murai, S., Yanagawa, K.: Squarefree P-modules and the cd-index. Adv. Math. 265, 241–279 (2014)
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Murai, S. (2015). cd-Index for CW-Posets. In: Benedetti, B., Delucchi, E., Moci, L. (eds) Combinatorial Methods in Topology and Algebra. Springer INdAM Series, vol 12. Springer, Cham. https://doi.org/10.1007/978-3-319-20155-9_19
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DOI: https://doi.org/10.1007/978-3-319-20155-9_19
Publisher Name: Springer, Cham
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