Euler flag enumeration of whitney stratified spaces

Research output: Contribution to journalConference articlepeer-review


We show the cd-index exists for Whitney stratified manifolds by extending the notion of a graded poset to that of a quasi-graded poset. This is a poset endowed with an order-preserving rank function and a weighted zeta function. This allows us to generalize the classical notion of Eulerianness, and obtain a cd-index in the quasi-graded poset arena. We also extend the semi-suspension operation to that of embedding a complex in the boundary of a higher dimensional ball and study the shelling components of the simplex.

Original languageEnglish
Pages (from-to)133-144
Number of pages12
JournalDiscrete Mathematics and Theoretical Computer Science
StatePublished - 2013
Event25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013 - Paris, France
Duration: Jun 24 2013Jun 28 2013


  • Eulerian condition
  • Quasi-graded poset
  • Semisuspension
  • Weighted zeta function
  • Whitney's conditions a and b

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science (all)
  • Discrete Mathematics and Combinatorics


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