A new cubical h-vector

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A new definition of an h-vector for cubical polytopes (and complexes) is introduced. It has many properties in common with the well-known h-vector for simplicial polytopes. In particular, it is symmetric, nonnegative and easily computable from a shelling of the polytope. Lower or upper bounds on its components imply corresponding bounds on the face numbers.

Original languageEnglish
Pages (from-to)3-14
Number of pages12
JournalDiscrete Mathematics
Issue number1-3
StatePublished - 1 Oct 1996


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