Publications

M. Farrokhi D. G. and A. A. Yazdan Pour, Positive matching decompositions of the Cartesian product of graphs, preprint.
arXiv: 2502.02826

M. Farrokhi D. G. and A. A. Yazdan Pour, Gröbner basis and Krull dimension of Lovász-Saks-Sherijver ideal associated to a tree, Journal of Algebra, vol. 678, pp. 224-252 (2025).
arXiv: 2305.18587

M. Farrokhi D. G., A. Shamsian, and A. A. Yazdan Pour, Extending simplicial complexes: Topological and combinatorial properties, Discrete Mathematics, vol. 348 (3), March 2025,
114335.
arXiv: 2110.12170

S. Faridi, M. Farrokhi D. G., R. Ghorbani, and A. A. Yazdan Pour, Cellular resolutions of monomial ideals and their Artinian reductions, Journal of Pure and Applied Algebra, vol 228, 107608, (2024).
arXiv: 2209.10338

R. Abdolmaleki and A. A. Yazdan Pour, The saturation number of monomial ideals, Communications in Algebra, vol. 51 (8), pp. 3163-3171, (2023).
arxiv: 2211.10982

R. Jafari and A. A. Yazdan Pour, Shedding vertices and ass-decomposable monomial ideals, Rocky Mountain Journal of Mathematics, vol. 53 (1), pp. 89-101, (2023).
arXiv: 2111.10851

M. Farrokhi D. G., Y. Sadegh, and A. A. Yazdan Pour, Green-Lazarsfeld index of square-free monomial ideals and their powers, Journal of Algebra, vol. 622, pp. 676-693, (2023).
arXiv: 2110.12174

A. Nasrollah Nejad, and A. A. Yazdan Pour, The Valabrega-Valla Module of Monomial Ideals, Journal of Algebra and its Applications, vol. 22 (2), 2350053 (21 pages), (2023).
arXiv: 2004.10422

M. Farrokhi D. G., and A. A. Yazdan Pour, New methods for constructing shellable simplicial complexes, Mathematical Researches, vol. 8 (4), pp. 164-179, (2023). (In persian).
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10.

M. Farrokhi D. G., Sh. Gharakhloo, and A. A. Yazdan Pour, Positive matching decompositions of graphs, Discrete Applied Mathematics, vol 320, pp. 311-323, (2022).
arXiv: 2110.12168

11.

M. Bigdeli, and A. A. Yazdan Pour, Multigraded minimal free resolutions of simplicial subclutters, Journal of Combinatorial Theory, Series A, vol. 178, 105339, (2021).
arXiv: 2010.01012

12.

M. Bigdeli, A. A. Yazdan Pour, and R. Zaare-Nahndi, Decomposable clutters and a generalization of Simon's conjectutre, Journal of Algebra, vol. 531, pp. 102-124, (2019).
arXiv: 1807.11012

13.

A. Nasrollah-Nejad, A. Nikseresht, A. A. Yazdan Pour, and R. Zaare-Nahndi, Tame graphs, clutters and their Rees algebras ,Journal of Symbolic Computation, vol. 93, pp. 85-99, (2019).
arXiv: 1602.02431

14.

M. Bigdeli, J. Herzog, A. A. Yazdan Pour, and R. Zaare-Nahandi, Simplicial orders and chordality, Journal of Algebraic Combinatorics, vol. 45 (4), pp. 1021-1039, (2017).
arXiv: 1602.02258

15.

A. A. Yazdan Pour, Candidates for Non-zero Betti Numbers of Monomial Ideals, Communications in Algebra, vol. 45 (4), pp. 1483-1492, (2017).
arXiv:1507.07188

16.

M. Bigdeli, A. A. Yazdan Pour and R. Zaare-Nahandi, Stability of Betti numbers under reduction processes: towards chordality of clutters, Journal of Combinatorial Theory Series A, vol 145, pp. 129-149, (2017).
arXiv:1508.03799

17.

M. Morales, A. A. Yazdan Pour and R. Zaare-Nahandi, Regularity and Free Resolution of Ideals which are Minimal to d-linearity, Mathemathica Scandinavica, vol 118 (2), pp. 161-182, (2016).
arXiv:1207.1790

18.

M. Morales, A. Nasrollah Nejad, A. A. Yazdan Pour and R. Zaare-Nahandi, Monomial ideals with 3-linear resolutions, Annales de la faculté des sciences de Toulouse Sér. 6, 23: (4), pp. 877-891, (2014).
arXiv:1207.1789

19.

M. Morales, A. A. Yazdan Pour and R. Zaare-Nahandi, Castelnuovo-Mumford regularity under reduction processes on graphs and hypergraphs, Electronic Notes in Discrete Math., vol 45, pp. 57-62, (2014).
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20.

M. Morales, A. A. Yazdan Pour and R. Zaare-Nahandi, The regularity of edge ideals of graphs, Journal of Pure and Applied Algebra, vol. 216 (12), pp. 2714-2719, (2012).
arXiv:1207.6249