3 papers
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
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.AC2017
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…