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 ...

The simplicial h-vector has some very appealing properties, and has been found to be an invaluable tool in the formulation and proof of results in the ...

The h-polynomial of the barycentric subdivision of any n-dimensional cubical complex with nonnegative cubical h-vector is shown to have only real roots and ...

A new cubical h-vector · Contents. Discrete Mathematics. Volume 157, Issue 1-3 · NEXT ARTICLE. Combinatorial bases in systems of simplices and chambers. Next.

It is verified that the number of vertices in a d-dimensional cubical pseudomanifold is at least 2d+1. Using Adin's cubical h-vector, the generalized lower ...

This paper introduces a new and simple statistic on noncrossing partitions that expresses each coordinate of the toric h-vector of a cubical complex ...

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 ...

May 24, 2024 · The author defines two \(h\)-vectors here, and describes some of their properties. More generally, let \(K\) be a cubical \((d-1)\)-complex (its ...

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 ...

Abstract. This paper introduces a new and simple statistic on noncrossing partitions that expresses each coordinate of the toric h-vector of a cubical ...