Research Papers

• Equivariant Algebraic Properties of Monomial Ideals Under the ${\rm{Inc}}^i(\mathbb{N})$ Operator (with M. Ghayas)

to appear in the Journal of Algebra and its Applications (2025).

• Algebra Retracts of Monomial Cut Algebras

to appear in the Journal of Algebra and its Applications (2025).

• Algebraic Invariants of Interval Subdivided Complexes (with S. Nazir)

Communications in Algebra, https://doi.org/10.1080/00927872.2023.2285487  (2023).

• Combinatorial g-conjecture for Interval Subdivisions (with S. Nazir)

Communications in Algebra, 50:5, 1889-1905, DOI:10.1080/00927872.2021.1993236  (2022).

• On $\gamma$- and local $\gamma$-Vectors of the Interval Subdivision (with S. Nazir)

Journal of Algebraic Combinatorics, 53, 677–699 (2021).

• The f- and h-vectors of interval subdivisions (with S. Nazir)

Journal of Combinatorial Theory Series A,  Volume 169,  105-124  (2020).  

• Cohen Macaulay Modifications of the Facet Ideal of a Simplicial Complex (with S. Ahmad and Z. Kosar)

 Journal of Algebra and its Applications 2050060 (2020).   

• Algebraic Characterization of $\Delta_s(G_{n,r}^1)$,  (with A. Kashif and Z. Raza)

Journal of Combinatorial Mathematics and Combinatorial Computing, 110(8), 157-170 (2019).  

• Monomial Ideals with Quasi-Linear Quotients (with A. Ahmad and S. Nazir)

Lobachevskii Journal of Mathematics, 40( 1), 85–89, (2019). 

• Algebraic Characterization of Graphical Degree Stability (with A. Khalid)

 Communications of the Korean Mathematical Society, 34 (1), 113-125, (2019). 

• A note on Quasi-Linear Quotients and Shellability of Pure Simplicial Complexes (with K. Shabbir)

Communications in Algebra, 46 (2), (2018). (pdf)

• On Algebraic Characterization of SSC of the Jahangir's Graph $\mathcal{J}_{n,m}$, (with A. Kashif and Z. Raza)

Open Mathematics, 16, (1),  250–259, (2018). 

• On the Connectedness of f- Simplicial Complexes (with H. Mahmood, M. A. Binyamin, and S. Yasmeen)

Journal of Algebra and its Applications,16(1), 1750017 (2017). 

• Spanning Simplicial Complexes of Uni-Cyclic Graphs (with A. Kashif and Z. Raza)

Algebra Colloquium, 22 (4), 707-710, (2015). 

• Quasi-Linear Quotients and Shellability of Pure Simplicial Complexes (with Z. Raza)

Communications in Algebra, 43, 4698–4704, (2015). 

• On Characteristic Poset and Stanley Decomposition of $S/I$, (with S. Ahmad)

Algebra Colloquium, 22 (Spec 1), 739-744, (2015). 

• On Characteristic Poset and Stanley Decomposition (with S. Ahmad and A. A. Qureshi)

Analele Stiintifice ale Universitatii Ovidius Constanta, 22(2), 21-28, (2014). 

• A construction of Cohen-Macaulay f-Graphs (with H. Mahmood and M. K. Zafar )

Journal of Algebra and its Applications, 13(6) 1450012, (2014). 

• On the Characterization of f-ideals (with H. Mahmood, M. K. Zafar and M. A. Binyamin)

Communications in Algebra, 42, 3736–3741, (2014). 

• On the Algebraic Study of Spanning Simplicial Complexes of r-cyclic Graphs $G_{n,r}$, (with Z. Raza)

 Ars Combinatoria, 115, 89–99, (2014). 

• Inclusion Ideal Associated to Uniformly Increasing Hypergraphs (with S. Ahmad, A. Haider and A. Inam)

Studia Scientiarum Mathematicarum Hungarica 50 (2), 199-206 (2013).

• f-ideals of Degree 2, with (G. Q. Abbasi, S. Ahmad and W. A. Baig)

Algebra Colloquium, 19 (Spec 1), 921-926, (2012). 

• Janet’s Algorithm, Bulletin Mathematique de la Société des Sciences Mathématiques de Roumanie 51(99)1, 11-19, (2008).

• Upper bound on the regularity of ideals of Borel Type (with S. Ahmad)

Communications in Algebra, 36, 670-673, (2008). 

• Stanley Conjecture in Small Embedding Dimensions (with D. Popescu)

Journal of Algebra, 318, 1027–1031, (2007).