activity
20072016
most citedStanley Decompositions, Pretty Clean Filtrations and Reductions Modulo Regular Elements

33 citations · 42 across the 7 of their papers we have counts for

collaborators

7 papers

math.CO2016

Augmented Zagreb Index of Polyhex Nanotubes

Nazeran Idrees, Afshan Sadiq, Muhammad Jawwad Saif +1

Augmented Zagreb Index is a newly defined degree based topological invariant which has been well established for its better correlation properties and is defined as $AZI(G)= \sum_{…

math.AC2013★ 4 cited

Regularity of joint-meet ideals of distributive lattices

Viviana Ene, Ayesha Asloob Qureshi, Asia Rauf

Let be a distributive lattice and the associated Hibi ring. We compute $\reg R(L)$ when is a planar lattice and give a lower bound for $\reg R(L)$ when is non-pl…

math.AC2012★ 2 cited

Construction of Cohen-Macaulay binomial edge ideals

Asia Rauf, Giancarlo Rinaldo

We discuss algebraic and homological properties of binomial edge ideals associated to graphs which are obtained by gluing of subgraphs and the formation of cones.

math.AC2011★ 3 cited

The stable set of associated prime ideals of a polymatroidal ideal

Jürgen Herzog, Asia Rauf, Marius Vladoiu

The associated prime ideals of powers of polymatroidal ideals are studied, including the stable set of associated prime ideals of this class of ideals. It is shown that polymatroid…

math.AC2010

Stanley decompositions in localized polynomial rings

Sumiya Nasir, Asia Rauf

We introduce the concept of Stanley decompositions in the localized polynomial ring where is a product of variables, and we show that the Stanley depth does not decrease…

math.AC2008

Depth and Stanley depth of multigraded modules

Asia Rauf

We study the behavior of depth and Stanley depth along short exact sequences of multigraded modules and under reduction modulo an element.