
FARHAD RAHMATI Associate Professor








 Zahra Ferdosi, Farhad Rahmati, Mohammad Hosein Tadoyon, "On the Stopping Distance of SALDPC Codes by Transversal Designs," Ieee Accessopen, Vol. 6, No. 0, PP. 40979  40989, 19 July 2018.
 Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "Some Algebraic and Combinatorial Prop erties of theComplete TPartite Graphs," Iranian Journal Of Mathematical Sciences And Informatics, Vol. 13, No. 1, PP. 131  138, 30 March 2018.
 Hamid Damadi, Farhad Rahmati, "ON LATTICE IDEALS AND LATTICE BASIS IDEALS ASSOCIATED TOORIENTED GRAPHS," Transactions On Combinatorics, Vol. 7, No. 2, PP. 35  46, 20 February 2018.
 Nastaran Keyvan, Farhad Rahmati, "PRODUCTS OF GRAPHS AND NORDHAUSGADDUM TYPE INEQUALITIES," Transactions On Combinatorics, Vol. 7, No. 1, PP. 31  36, 20 February 2018.
 Zahra Ferdosi, Farhad Rahmati, Mohammad H. Tadayon, "Effect of one redundant paritycheck equationon the stopping distance," Journal Of Applied Mathematics And Computing, Vol. 0, No. 0, PP. 1  13, 07 February 2018.
 Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "Regularity and projective dimension of the edge ideal of a generalized theta graph," Turkish Journal Of Mathematics, Vol. 42, No. 1, PP. 320  338, 21 January 2018.
 Elaheh Banisaeed, Farhad Rahmati, Khadijeh Ahmadi, Majid Eghbali, "On the relation between formal grade and depth with a view toward vanishing of Lyubeznik numbers," Communications In Algebra, Vol. 45, No. 12, PP. 5137  5144, 16 April 2017.
 Mahdis Saeedi, Farhad Rahmati, "ON THE HILBERT SERIES OF BINOMIAL EDGE IDEALS OF GENERALIZEDTREES," Transactions On Combinatorics, Vol. 6, No. 3, PP. 11  28, 31 December 2016.
 Ali Mahdavi, Farhad Rahmati, "On the Frobenius vector of some simplicial affine semigroups," Bulletin Of The Belgian Mathematical Societysimon Stevin, Vol. 23, No. 4, PP. 573  582, 01 November 2016.
 Ali Mahdavi, Farhad Rahmati, "ON NUMERICAL SEMIGROUPS WITH EMBEDDING DIMENSION THREE," Transactions On Combinatorics, Vol. 6, No. 2, PP. 1  6, 02 July 2016.
 Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "Cohen Macaulayness and Arithmetical Rank of Generalized Theta Graphs," Mathematics, Vol. 4, No. 43, PP. 1  18, 29 June 2016.
 Hamid Damadi, Farhad Rahmati, "Smoothness in Binomial Edge Ideals," Mathematics, Vol. 4, No. 37, PP. 1  6, 01 June 2016.
 Majid Yousefi Khoshbakht, Azam Dolatnejad, Farzad Didehvar, Farhad Rahmati, "A Modified Column Generation to Solve the Heteregoneous Fixed Fleet Open Vehicle Routing Problem," Journal Of Engineering, Vol. 0, No. 0, PP. 1  13, 12 May 2016.
 Majid Yusefi Khoshbakht, Farzad Didehvar, Farhad Rahmati, "A Mixed Integer Programming Formulation for the Heterogeneous Fixed Fleet Open Vehicle Routing Problem," Journal Of Optimization In Industrial Engineering, Vol. 8, No. 18, PP. 37  46, 02 July 2015.
 Majid Yousefi Khoshbakht, Farzad Didehvar, Farhad Rahmati, "An Effective Rank Based Ant System Algorithm for Solving the Balanced Vehicle Routing Problem," International Journal Of Industrial Engineering  Theory Applications And Practice, Vol. 23, No. 1, PP. 45  55, 04 February 2015.
 Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "SOME PROPERTIES OF GLUED GRAPHS AT COMPLETE CLONE IN THEVIEW OF ALGEBRAIC COMBINATORIC," Science Internationallahore, Vol. 27, No. 1, PP. 39  47, 22 December 2014.
 Saeed Akbari, Farhad Rahmati, Sanaz Zare Firoozabadi, "ZeroSum Magic Labelings and Null Sets of Regular Graphs," Electronic Journal Of Combinatorics, Vol. 21, No. 2, PP. 1  9, 30 March 2014.
 Saeed Akbari, Dariush Kiani, Fatemeh Mohammadi, Somayeh Moradi, Farhad Rahmati, "An Algebraic Criterion for the Choosability of Graphs," Graphs And Combinatorics, Vol. 30, No. 2, PP. 1  10, 19 March 2014.
 Majid Yousefi Khoshbakht, Farzad Didehvar, Farhad Rahmati, "An Efficient Solution for the Vehicle Routing Problem by Using a Hybrid Elite Ant System," International Journal Of Computers Communications & Control, Vol. 9, No. 3, PP. 340  347, 18 March 2014.
 Sanaz Zare Firoozabadi, Farhad Rahmati, "On the signed star domination number of regular multigraphs," Periodica Mathematica Hungarica, Vol. 68, No. 1, PP. 1  8, 11 January 2014.
 Shamila Bayati, Farhad Rahmati, "Squarefree Vertex Cover Algebra," Communications In Algebra, Vol. 1, No. 42, PP. 1532  1538, 07 December 2013.
 Majid Yousefi Khoshbakht, Mohammad Sedighpour, Vahid Ahmadi, Farzad Didehvar, Farhad Rahmati, "Solving the Open Vehicle Routing Problem by a Modified Ant ColonyOptimization," Kuwait Journal Of Science & Engineering, Vol. 40, No. 3, PP. 12  32, 05 December 2013.
 Majid Yousefi Khoshbakht, Farzad Didehvar, Farhad Rahmati, "Solving the heterogeneous fixed fleet open vehicle routing problem by a combined metaheuristic algorithm," International Journal Of Production Research, Vol. 51, No. 24, PP. 1  11, 22 November 2013.
 Majid Yousefi Khoshbakht, Shahrood Azami, Farzad Didehvar, Farhad Rahmati, "An Ant Colony algorithm hybridized with insert and swap heuristics for the Vehicle Routing Problem with Time Windows," , Vol. 9, No. 4, PP. 15  30, 27 October 2013.
 , Farhad Rahmati, "SQUAREFREE VERTEX COVER ALGEBRAS," Communications In Algebra, Vol. 42, No. 4, PP. 1518  1538, 08 October 2013.
 Majid Yousefi Khoshbakht, Farzad Didehvar, Farhad Rahmati, "An Improved Modified Tabu Search Algorithm to Solvethe Vehicle Routing Problem with Simultaneous Pickupand Delivery," Journal Of Advances In Computer Research, Vol. 3, No. 4, PP. 55  66, 28 May 2013.
 Majid Yousefi Khoshbakht, Farzad Didehvar, Farhad Rahmati, "Modification of the Elite Ant System in Order to AvoidLocal Optimum Points in the Traveling Salesman Problem," Wulfenia, Vol. 19, No. 9, PP. 181  195, 10 September 2012.
 Majid Yousefi Khoshbakht, Farzad Didehvar, Farhad Rahmati, "A Hybrid Ant Colony System for the Heterogeneous Fleet Vehicle Routing Problem," , Vol. 9, No. 2, PP. 191  207, 05 September 2012.
 Farzad Didehvar, M. Yousefikhoshbakht, Farhad Rahmati, M. Sedighpour, "An Effective Imperialist Competitive Algorithm for Solving the Open Vehicle Routing Problem," , Vol. 9, No. 1, PP. 20  34, 04 May 2012.
 Majid Yousefikhoshbakht, Farzad Didehvar, Farhad Rahmati, "Application a Modified Imperialist Competitive Algorithm for Solving the Traveling Salesman Problem," , Vol. 1, No. 2, PP. 29  49, 31 January 2012.
 Leili Sharifan, Farhad Rahmati, "Rigid resolution of a finitely generated module over a regular local ring," Bulletin Of The Iranian Mathematical Society, Vol. 36, No. 2, PP. 85  97, 23 October 2010.
 Mahdi Omidali, Farhad Rahmati, "OnThe Type and The Minimal Presentation of Certain Numerical Semigroups," , Vol. , No. 37, PP. 0  0, 01 March 2009.
 Hossein Sabzrou, Farhad Rahmati, "The Frobenius Number And a Invariant," , Vol. , No. 6, PP. 0  0, 01 December 2006.
 Mahdi Omidali, Farhad Rahmati, "On The Regularity and Hilbert Function of Projective Monomial Curves," , Vol. 0, No. 0, PP. 0  0, 22 December 2005.
 Hossein Sabzrou, Farhad Rahmati, "Matrices defining gorenstein lattice ideals," , Vol. , No. , PP. 0  0, 01 April 2005.
 Farhad Rahmati, Amir Hashemi, "A note on the fitting ideals in free resolution," , Vol. , No. 2, PP. 0  0, 01 December 2001.















 Hamid Damadi, Farhad Rahmati, "Partial equation systems associated to directed graphs," 9th Graph Theory And Algebraic Combinatorics, Iran (Islamic Republic of), 22 February 2017  23 February 2017.
 Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "Arithmetic rank of the edge ideals of generalized theta graphs," 9th Graph Theory And Algebraic Combinatorics, other, 22 February 2017  23 February 2017.
 Ali Mahdavi, Farhad Rahmati, "Every positive integer is the Frobenius number for a numerical semigroup with embedding dimension three," 25th Iranian Algebra Seminar, Iran (Islamic Republic of), 19 July 2016  20 July 2016.
 Mahdis Saeedi, Farhad Rahmati, "Hilbert series of some binomial edge ideals," 25th Iranian Algebra Seminar, Iran (Islamic Republic of), 19 July 2016  20 July 2016.
 Mahdis Saeedi, Farhad Rahmati, "Hilbert series of binomial edge ideal of generalized sungraphs," 8th Conference On Algebraic Combinatorics And Graph Theory, Iran (Islamic Republic of), 07 October 2015  08 October 2015.
 Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "Projective dimension of the edge ideal of some graphs," 8th Conference And Workshop On Algebraic Combinatorics And Graph Theory , Iran (Islamic Republic of), 07 October 2015  08 October 2015.
 Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "Betti numbers, regularity and projective dimension of lollipop graphs," 24th Iranian Algebra Seminar, Iran (Islamic Republic of), 12 November 2014  13 November 2014.
 Mahdis Saeedi, Farhad Rahmati, "Height of binomial edge ideal of closed graphs expansion graphs and some classes of glued graphs," The 45th Annual Iranian Mathematics Conference , Iran (Islamic Republic of), 26 August 2014  29 August 2014.
 Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "Study of algebraic properties of pseudocomplete graphs," The 45th Annual Iranian Mathematics Conference , Iran (Islamic Republic of), 26 August 2014  29 August 2014.
 Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "Betti numbers of glued graphs of complete graphs at complete clone," 6th Algebraic And Combinatorics Conference Of Iran, Iran (Islamic Republic of), 30 October 2013  31 October 2013.
 Mahdis Saeedi, Farhad Rahmati, "Some results on height in binomial edge ideals," 6th Algebraic Combinatorics Of Iran, Iran (Islamic Republic of), 30 October 2013  31 October 2013.
 Farzaneh Amini, Farhad Rahmati, "Cryptosystem arising from a zerodimensional ideal in a polynomial ring," Groups, Group Rings And Related Topics , United Arab Emirates, 28 October 2013  31 October 2013.
 Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, Mahdis Saeedi, " Shellable and CohenMacaulay Tpartite graphs," 5th Conference On Algebraic Combinatorics And Graph Theory, Iran (Islamic Republic of), 03 July 2012  04 July 2012.
 Hamid Damadi, Farhad Rahmati, "Edge singularity of graphs," 5th Conference On Algebraic Combinatorics And Graph Theory, Iran (Islamic Republic of), 03 July 2012  04 July 2012.
 Shamila Bayati, Farhad Rahmati, "Squarefree Vertex Cover Algebra," 2nd Seminar On Combinatorial Commutative Algebra , Iran (Islamic Republic of), 08 February 2012  09 February 2012.
 Mahdis Saeedi, Farhad Rahmati, Seyyede Masoome Seyyedi Siahkole, "Some Properties of Binomial Edge Ideals," 22 Nd Iranian Algebra Seminar, Iran (Islamic Republic of), 31 January 2012  02 February 2012.
 Farhad Rahmati, Zahra Nilforoushan, "," , Iran (Islamic Republic of), 21 January 2003  21 January 2003.
 Alireza Jahangirian, Farhad Rahmati, "Development of Iranian railways : past . present and future," , Egypt, 22 June 2001  25 June 2001.
 Farhad Rahmati, Amir Hashemi, "Generalied weak resolution," , Iran (Islamic Republic of), 20 March 2000  20 March 2000.
 Farhad Rahmati, "deformation of isolated singularities of toric projective surfaces," , Iran (Islamic Republic of), 21 March 1998  21 March 1998.















 Farhad Rahmati, 08 October 1997  19 March 2001.















 Farhad Rahmati, , , Edition : 1, Iran (Islamic Republic of), 22 September 2000.















PhD Students Projects:

 Zahra Ferdosi, Farhad Rahmati, , "", PhD, 04 November 2018.
 Hamid Damadi, Farhad Rahmati , "", PhD, 29 November 2017.
 Ali Mahdavi, Farhad Rahmati , "", PhD, 01 March 2017.
 Mahdis Saeedi, Farhad Rahmati , "", PhD, 10 October 2016.
 Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati , "", PhD, 22 August 2016.
 Majid Yousefi Khoshbakht, Farhad Rahmati, Farzad Didehvar, "", PhD, 06 May 2014.
 Sanaz Zare Firoozabadi, Farhad Rahmati , "", PhD, 11 February 2013.
 Shamila Bayati, Farhad Rahmati , "", PhD, 04 November 2012.
 Leili Sharifan, Farhad Rahmati , "", PhD, 14 September 2009.
 Mahdi Omidali, Farhad Rahmati , "Combinatorial Aspects Of Toric Varieties and Local Cohomology Of Semigroup Rings With Support On Monomial Ideas", PhD, 25 November 2006.
 Hossein Sabzrou, Farhad Rahmati , "Matrices defining Gorenstein Lattice Ideals ", PhD, 14 September 2004.

MSc Students Projects:

 Masoud Dashti, Farhad Rahmati , "Algebraic attacks and grobner bases in post quantom cryptography", MSc, 20 January 2019.
 Nazanin Alinejad, Farhad Rahmati , "Universal Grobner Bases for Binary Linear Codes ", MSc, 11 July 2018.
 Roza Sadat Seyednazarzadeh, Farhad Rahmati , "Homtopic Frechet distance between curves", MSc, 13 February 2018.
 Maisam Hedyehloo, Farhad Rahmati, Seyed Mansour Vaezpour, "metric entropy of homeomorphism on noncompact metric space ", MSc, 18 July 2017.
 Iman Jahani, Farhad Rahmati , "Lyubeznik numbers of local rings and linear strands of graded ideals", MSc, 25 October 2016.
 Azita Taghipour, Farhad Rahmati, , "Lyubeznik table of sequentially CohenMacaulay rings", MSc, 25 October 2016.
 Zohreh Sayanjali, Farhad Rahmati, , "Multivariate quadratic polynomials in public key cryptography", MSc, 07 September 2016.
 Naghme Tavassoli Bonabi, Farhad Rahmati , "Frobenius Vectors and Hilbert Series Associated to Glued Semigroups", MSc, 21 October 2015.
 Sedigheh Eidi, Farhad Rahmati , "The Frobenius Problem On Lattices", MSc, 21 October 2015.
 Vahdat Bahreini, Farhad Rahmati , "Matroids and coding theory", MSc, 24 August 2015.
 Zahrasadat Mousavikhooeini, Farhad Rahmati , "Algebraic properties of the binomial edge ideal of a complete bipartite graph", MSc, 21 October 2014.
 Razieh Avanloo Aveh, Farhad Rahmati , "toric ideals and diagonal 2 minors", MSc, 18 October 2014.
 Akbar Abbasifard, Farhad Rahmati , "the multi dimentional frobenius problem", MSc, 04 August 2014.
 Parisa Moradi Esmaiyli, Mohammad Reza Rafsanjani Sadeghi, Farhad Rahmati, "An approach to Network Coding via Commutative Algebra", MSc, 25 December 2013.
 Saba Aliyari, Farhad Rahmati , "Primer for the algebraic geometry of sandpiles", MSc, 20 October 2013.
 Fatemeh Alibakhshi, Farhad Rahmati , "ASSOCIATED PRIMES OF POWERS OF EDGE IDEALS", MSc, 02 October 2013.
 Parvaneh Nadi, Farhad Rahmati , "Generators of toric ideals of graphs and hyper graphs", MSc, 02 October 2013.
 Hamideh Khajeh Nasir, Farhad Rahmati , "parameterized linear codes of an algebric toric set", MSc, 10 September 2013.
 Ali Mahdavi, Farhad Rahmati , "INDISPENSABLE BINOMIALS IN SEMIGROUP IDEALS", MSc, 10 September 2013.
 Fatemeh Akbari Jodaghayeh, Farhad Rahmati , "Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields", MSc, 11 September 2012.
 Hamid Damadi, Farhad Rahmati , "Relation between combinatorial structure of binomial ideals and their singularities", MSc, 08 September 2012.
 Afsaneh Khaghaniazar, Farhad Rahmati , "Binomial ideal associated to graph", MSc, 20 June 2012.
 Masoume Sheikhi Kiasari, Mohammad Reza Rafsanjani Sadeghi, Farhad Rahmati, "Combinatorial construction of optical orthogonal codes", MSc, 18 February 2012.
 Negar Ranjbar, Masoud Pourmahdian, Farhad Rahmati, "The study of homogeneous universal partial ordered set and the exictence of its generic ", MSc, 05 February 2012.
 Meisam Navaki Arefi, Seyyed Naser Hashemi, Farhad Rahmati, "An algorithmic framework for wireless networks information flow with network coding ", MSc, 30 January 2012.
 Mahsa Soheil Shamaee, Dr. Ali Mohades Khorasani, Farhad Rahmati, "Wireless localization by geometric algorithms", MSc, 19 September 2011.
 Marjan Abedin, Dr. Ali Mohades Khorasani, Farhad Rahmati, "Inducing polygons in arrangment of lines", MSc, 11 September 2011.
 Elham Babaei, Mohammad Reza Rafsanjani Sadeghi, Farhad Rahmati, "Construction and analysis of grobner bases for codes and lattices", MSc, 10 September 2011.
 Mohammadhossein Ghaffari, Farhad Rahmati , "TORIC IDEALS GENERATED BY CIRCUITS", MSc, 19 February 2011.
 Hosein Taghinejad, Farhad Rahmati, Masoud Pourmahdian, "Geometric stability theory & application of model theory to algebraic geometry", MSc, 15 February 2011.
 Nahid Nasibi, Farhad Rahmati , "Ideals and graphs Grobner bases and decision procedures in graphs", MSc, 06 November 2010.
 Hosein Pourmahdian, Masoud Pourmahdian, Farhad Rahmati, "computability in banach and measure spaces via domain theory ", MSc, 06 July 2010.
 Majadeh Pasdar, Masoud Pourmahdian, Farhad Rahmati, "lambada calculus and exact real computation", MSc, 24 November 2009.
 Mohsen Khani, Masoud Pourmahdian, Farhad Rahmati, "cone and quasi metric spaces via domain theory", MSc, 26 September 2009.
 Rafieh Razavi Nazari, Farhad Rahmati , "monomial ideals edge ideals of hypergraphs and their graded betti numbers ", MSc, 28 July 2009.
 Atena Tahmasebpourmeikola, Farhad Rahmati , " shellable graphs and sequentially cohen macaulay bipartite graphs", MSc, 24 June 2009.
 Hossein Shojaei Jeshvaghani, Farhad Rahmati , "The diameter of zero divisor graph", MSc, 17 November 2008.
 Zahra Momen, Farhad Rahmati , "Comp utationalalgebraic topology /computing persistent homology ", MSc, 24 September 2008.
 Maliheh Ali Asgari, Farhad Rahmati , "Computational algebraic topology Localized Homology", MSc, 24 September 2008.
 Mehdi Esfandyary, Farhad Rahmati, , "Cofiniteness and associated primes of local cohomology models", MSc, 21 December 2005.
 Mohammad Mehdi Esna Ashari, Farhad Rahmati , "", MSc, 15 February 2005.
 Ezat Fakhraei, Farhad Rahmati , "Groups in which the prime graph is a tree", MSc, 30 January 2005.
 Zahra Hassanifarahani, Farhad Rahmati, , "On systems of binomides in the ideal of a toric variety", MSc, 20 November 2004.
 Seyyed Mojtaba Ghasemi, Farhad Rahmati , "Geometric codes over fields of odd prime power order ", MSc, 10 November 2004.
 Ali Alilooee Dolatabad, Farhad Rahmati , "The covers of natherian modules", MSc, 19 October 2004.
 Ahmad Kazemifard, Farhad Rahmati , "Primery Decomposition of kettrce basis Ideals", MSc, 08 February 2004.
 Hengameh Hemmati, Farhad Rahmati , "Local cohomolojy at monomial ideals", MSc, 02 November 2003.
 Nader Omidi, Farhad Rahmati , "Toric ideas ", MSc, 14 September 2003.
 Rasool Razavi Nazari, Farhad Rahmati , "", MSc, 27 May 2003.
 Mohammad Amin Fadaian Kaleh Basty, Farhad Rahmati , "", MSc, 05 November 2002.
 Ali Javadi, Farhad Rahmati , "", MSc, 15 September 2002.
 Hossein Yari, Farhad Rahmati , "", MSc, 19 February 2002.
 Jalal Malaki, Farhad Rahmati , "", MSc, 28 August 2001.
 Ali Peri, Farhad Rahmati , "", MSc, 23 July 2001.
 Hossein Sabzrou, Farhad Rahmati , "", MSc, 18 September 2000.
 Safdar Imanifar, , Farhad Rahmati, "", MSc, 17 September 2000.
 Aghil Ghiamati, Farhad Rahmati , "", MSc, 10 September 2000.
 Abas Sadegi Poryani, Farhad Rahmati , "", MSc, 04 September 2000.
 Reza Beiranvand, Farhad Rahmati , "", MSc, 23 October 1999.
 Amir Hashemi, Farhad Rahmati , "", MSc, 06 September 1999.









Courses









B.Sc. in Mathematics, Isfahan University, Iran. 1986 M.Sc. in Pure Mathematics (Functional Analysis), Tarbiatmodarres University, Iran, 1988 D.E.A. in Pure Maths.Algebraic Geometry, University of Toulouse(Paul Sabatier, Toulouse, France,1992) Ph.D.in Pure Mathematics (Algebraic Geometry) University of Toulouse (Paul Sabatier),Toulouse, France,1995















Employment History: 1Vice head of Faculty for undergraduate affaires 2012 up to now 2Head of department of pure mathematics, Amirkabir University, Tehran, Iran, 2010 2012 3ViceChair for Graduate Studies, , Amirkabir University, Tehran, Iran, 2008 2010















Iranian Mathematical Society
















1Representative of Ministry of Science in France,20052007 2General Director of Scholarship Department, Ministry of Science, Iran, 20012005















email: frahmati@aut.ac.ir work Tel. N.: +982164542534 Fax N. +982166497930









 
FARHAD RAHMATI
Associate Professor


Department:


Department of Mathematics


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