activity
20072022
most citedThe - and -vectors of Interval Subdivisions

12 citations · 18 across the 12 of their papers we have counts for

collaborators

13 papers

math.CO2022

On the -vectors of -multichain subdivisions

Shaheen Nazir

For a poset and an integer , let be a collection of all -multichains in . Corresponding to each strictly increasing map , there is a…

math.CO2021

On the homeomorphism and homotopy type of complexes of multichains

Shaheen Nazir, Volkmar Welker

In this paper we define and study for a finite partially ordered set P a class of simplicial complexes on the set P_r of r-element multichains from P. The simplicial complexes depe…

math.AC2018

On $\g$- and local $\g$-Vectors of the Interval Subdivision

Imran Anwar, Shaheen Nazir

We show that the $\g$-vector of the interval subdivision of a simplicial complex with a nonnegative and symmetric -vector is nonnegative. In particular, we prove that such $\g$-…

math.AC2018★ 12 cited

The - and -vectors of Interval Subdivisions

Imran Anwar, Shaheen Nazir

The interval subdivision Int of a simplicial complex was introduced by Walker. We give the complete combinatorial description of the entries of the transformation matrices…

math.AT2017

The equivariant cohomology of weighted flag orbifolds

Haniya Azam, Shaheen Nazir, Muhammad Imran Qureshi

We describe the torus-equivariant cohomology of weighted partial flag orbifolds of type . We establish counterparts of several results known for the partial flag…

math.AC2017★ 1 cited

An Efficient Algebraic Criterion for Shellability

Imran Anwar, Zunaira Kosar, Shaheen Nazir

In this paper, we give a new and efficient algebraic criterion for the pure as well as non-pure shellability of simplicial complex over [n]. We also give an algebraic character…