FARHAD RAHMATI - Amirkabir University of Technology

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Amirkabir University of Technology

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FARHAD RAHMATI

Associate Professor
Department of Mathematics and Computer Science
Pure Mathematics

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Email:

frahmati

aut.ac.ir

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h-index (Scopus):

10.00

Citations (Scopus):

310

Supervised PhD Theses

Thesis title

Date

Study of some invariants of monomial and binomial ideals

NADIA TAGHIPOUR
Other Supervisor: Shamila Bayati

2024 Oct

Combinatorial Tools in the Study of Some Monomial and Binomial Ideals

IMAN JAHANI
Other Supervisor: Shamila Bayati

2024 Oct

Combinatorial Aspects Of Toric Varieties and Local Cohomology Of Semigroup Rings With Support On Monomial Ideas

MAHDI OMIDALI

2006 Nov

Matrices defining Gorenstein Lattice Ideals

HOSSEIN SABZROU

2004 Sep

Applying Game Theory in Cryptography-Based Security Services

ZAHRASADAT SEYEDIBANEKOHAL

2025 Feb

Supervised MSc Theses

Thesis title

Date

Analysis and Improvment of Private Set Intersection Protocols in the cloud computing environment

SAEIDEH ESFAHANI

2024 Sep

Providing a New Solution to Protect Privacy in Secure Multi-Party Computation

MAJID TAYEBI

2024 Sep

lattice_based cryptography for internet of things

PARISA ABOLIZADEH ESMAEIL ABAD
Other Supervisor: Shamila Bayati

2024 Feb

Numerical semigroup algebras and their coefficient rings

ARMAN ATAEI KACHOUEI
Other Supervisor: Sara Saeedi Madani

2024 Feb

AFFINE SEMIGROUPS OF MAXIMAL PROJECTIVE DIMENSION

MAHDI TAATI JELISEH
Other Supervisor: Sara Saeedi Madani

2023 Sep

Security analysis and enhancement of online/offline digital signature schemes

SAHARNAZ BERJISI

2023 Sep

Topics in Topological Data Analysis

IYLAAN YAPENG GHARAVI
Other Supervisor: BEHROOZ KHOSRAVI

2023 Aug

Mathematics of zero knowledge and its applications

FAEZEH KHODAYARI MONFARED
Other Supervisor: Shamila Bayati

2023 Aug

A secure end_to_end verifiable e_voting system using zero knowledge based blockchain

AMIR HUSSEIN SAM

2023 Feb

Eternal k- domination on graphs

SAKINESADAT HASHEMI
Other Supervisor: Shamila Bayati

2022 Oct

primary decomposition of modules: a computational differential approach

ZAHRA SADAT MOMENI HABIB ABADI
Other Supervisor: Shamila Bayati

2022 Oct

multivariate public key cryptography based on Grubner bases

SAMIRA FIROOZBAKHSH
Other Supervisor: Zeinab Akhlaghi

2022 Jun

privacy and control access of wireless body network based on cloud computing

FATEME SHAYAN NEZHAD & MOHAMMAD REZA RAFSANJANI SADEGHI
Other Supervisor:

2022 Jun

the Waldschmidt constant of special k-configurations in P^n

MARYAM ASADINIA
Other Supervisor: Shamila Bayati

2022 Mar

On Ideal Lattices and Learning with Errors on Rings

NAFISE AGHOUEE

2022 Mar

NTRU cryptosystems implementation analysis

SABER AFKHAM JAVID
Other Supervisor: MOHAMMAD REZA RAFSANJANI SADEGHI

2022 Feb

Dag based distributed ledger

MORTEZA MOZAFFARI
Other Supervisor: SALMAN NIKSEFAT

2021 Sep

security in cryptocurrencies and smart-contract wallets

EDRIS MIRZAEI

2021 Mar

Transparency and Privacy in Block chain Network

MAEDEH AZAD
Other Supervisor: Shamila Bayati

2021 Mar

Proxy Encryption for secure cloud data sharing

FATEME RAEI

2021 Feb

cellular resolutions for some classed of ideals

MOHAMMAD SHIRALY
Other Supervisor: Shamila Bayati

2020 Jul

steganography on smartphone

ESMAEIL DANSI & MOHAMMAD REZA RAFSANJANI SADEGHI
Other Supervisor:

2020 Feb

Data Hiding using Graphical Codes based Steganography Technique

ALI HAJMAHMOODI VARNOSFADERANI & MOHAMMAD REZA RAFSANJANI SADEGHI
Other Supervisor:

2020 Feb

Application of cryptography in digital currency

SAMIRA TALEBI AJABSHIR

2019 Oct

Koszul binomial edge ideals of pairs of graphs

PARISA SEDIGHI KHALAFLOO

2019 Jul

on top dimensional lyubeznik number in mixed charcteristic

SINA ERSHADINIA

2019 Feb

Algebraic attacks and grobner bases in post quantom cryptography

MASOUD DASHTI

2019 Jan

Universal Grobner Bases for Binary Linear Codes

NAZANIN ALINEJAD

2018 Jul

Homtopic Frechet distance between curves

ROSA SADAT SEYED NAZAR ZADEH

2018 Feb

metric entropy of homeomorphism on non-compact metric space

MAISAM HEDYEHLOO
Other Supervisor: SEYED MANSOUR VAEZPOUR

2017 Jul

Lyubeznik numbers of local rings and linear strands of graded ideals

IMAN JAHANI

2016 Oct

Lyubeznik table of sequentially Cohen-Macaulay rings

AZITA TAGHIPOUR
Other Supervisor: Shamila Bayati

2016 Oct

Multivariate quadratic polynomials in public key cryptography

ZOHREH SAYANJALI
Other Supervisor: Zeinab Akhlaghi

2016 Sep

The Frobenius Problem On Lattices

SEDIGHEH EIDI

2015 Oct

Frobenius Vectors and Hilbert Series Associated to Glued Semigroups

NAGHME TAVASSOLI BONABI

2015 Oct

Matroids and coding theory

VAHDAT BAHREINI

2015 Aug

Algebraic properties of the binomial edge ideal of a complete bipartite graph

ZAHRASADAT MOUSAVIKHOOEINI

2014 Oct

toric ideals and diagonal 2 minors

RAZIEH AVANLOO AVEH

2014 Oct

the multi dimentional frobenius problem

AKBAR ABBASIFARD

2014 Aug

An approach to Network Coding via Commutative Algebra

PARISA MORADI ESMAIYLI & MOHAMMAD REZA RAFSANJANI SADEGHI
Other Supervisor:

2013 Dec

Primer for the algebraic geometry of sandpiles

SABA ALIYARI

2013 Oct

ASSOCIATED PRIMES OF POWERS OF EDGE IDEALS

FATEMEH ALIBAKHSHI

2013 Oct

Generators of toric ideals of graphs and hyper graphs

PARVANEH NADI

2013 Oct

parameterized linear codes of an algebric toric set

HAMIDEH KHAJEH NASIR

2013 Sep

INDISPENSABLE BINOMIALS IN SEMIGROUP IDEALS

ALI MAHDAVI

2013 Sep

Relation between combinatorial structure of binomial ideals and their singularities

HAMID DAMADI

2012 Sep

Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields

FATEMEH AKBARI JODAGHAYEH

2012 Sep

Binomial ideal associated to graph

AFSANEH KHAGHANIAZAR

2012 Jun

The study of homogeneous universal partial ordered set and the exictence of its generic

NEGAR RANJBAR & MASOUD POURMAHDIAN
Other Supervisor:

2012 Feb

Combinatorial construction of optical orthogonal codes

MASOUME SHEIKHI KIASARI & MOHAMMAD REZA RAFSANJANI SADEGHI
Other Supervisor:

2012 Feb

An algorithmic framework for wireless networks information flow with network coding

MEISAM NAVAKI AREFI & SEYYED NASER HASHEMI
Other Supervisor:

2012 Jan

Inducing polygons in arrangment of lines

MARJAN ABEDIN & Ali Mohades Khorasani
Other Supervisor:

2011 Sep

Construction and analysis of grobner bases for codes and lattices

ELHAM BABAEI & MOHAMMAD REZA RAFSANJANI SADEGHI
Other Supervisor:

2011 Sep

Wireless localization by geometric algorithms

MAHSA SOHEIL SHAMAEE & Ali Mohades Khorasani
Other Supervisor:

2011 Sep

TORIC IDEALS GENERATED BY CIRCUITS

MOHAMMADHOSSEIN GHAFFARI BAZARJOMEH

2011 Feb

Geometric stability theory & application of model theory to algebraic geometry

HOSEIN TAGHINEJAD
Other Supervisor: MASOUD POURMAHDIAN

2011 Feb

Ideals and graphs Grobner bases and decision procedures in graphs

NAHID NASIBI

2010 Nov

computability in banach and measure spaces via domain theory

HOSEIN POURMAHDIAN & MASOUD POURMAHDIAN
Other Supervisor:

2010 Jul

lambada calculus and exact real computation

MAJADEH PASDAR & MASOUD POURMAHDIAN
Other Supervisor:

2009 Nov

cone and quasi metric spaces via domain theory

MOHSEN KHANI & MASOUD POURMAHDIAN
Other Supervisor:

2009 Sep

monomial ideals edge ideals of hypergraphs and their graded betti numbers

RAFIEH RAZAVI NAZARI

2009 Jul

shellable graphs and sequentially cohen- macaulay bipartite graphs

ATENA TAHMASEBPOURMEIKOLA

2009 Jun

The diameter of zero divisor graph

HOSSEIN SHOJAEI JESHVAGHANI

2008 Nov

Computational algebraic topology -Localized Homology

MALIHEH ALI ASGARI

2008 Sep

Comp utationalalgebraic topology /computing persistent homology

ZAHRA MOMEN

2008 Sep

Cofiniteness and associated primes of local cohomology models

MEHDI ESFANDYARY

2005 Dec

Groups in which the prime graph is a tree

EZAT FAKHRAEI

2005 Jan

Geometric codes over fields of odd prime power order

SEYYED MOJTABA GHASEMI

2004 Nov

On systems of binomides in the ideal of a toric variety

ZAHRA HASSANIFARAHANI

2004 Nov

The covers of natherian modules

ALI ALILOOEE DOLATABAD

2004 Oct

Primery Decomposition of kettrce basis Ideals

AHMAD KAZEMIFARD

2004 Feb

Local cohomolojy at monomial ideals

HENGAMEH HEMMATI

2003 Nov

Toric ideas

NADER OMIDI

2003 Sep

Security analysis and identification of proof of data possession protocols in the smart health networks

ZAHRA SHEYKHPOUR &
Other Supervisor:

2025 Mar

lattice-based group signature

SEYEDE SETAYESH MOOSAVI

2025 Mar

Identification and analysis of functional encryption schemes and their applications in secure computations

ZAHRA HEIDARIAN &
Other Supervisor:

2025 Mar

Post quantum cryptography and group signature

MAHBOOBE AHMADI

2025 Mar

Isogeny-Based Ring Signature

NAZANIN ASADOLLAHI

2025 Apr

Lattice Isomorphism Problem (LIP) and key Encapsulation Mechanism (KEM) in cryptography

YOUNES BABADIAKASHE
Other Supervisor: Zeinab Akhlaghi

2025 Apr

Journal Papers

Z. Seyedibanekohal, F. Rahmati, , Ximeng Liu, "A Fully Decentralized Auditing Approach for Edge Computing: A Game-Theoretic Perspective", Ieee Transactions On Dependable and Secure Computing, 2025 Jun vol. , no. , pp.-, 2025.

Somayeh Habibi, F. Rahmati, "A Remark on a Result of Huber and Kahn", Bulletin of The Iranian Mathematical Society, 2025 Feb vol. 50, no. 18, pp.1-9, 2025.

Z. Seyedibanekohal, F. Rahmati, , Ximeng Liu, "Decentralized Data Integrity Inspection Offloading in Edge Computing Systems Using Potential Games", Ieee Transactions On Mobile Computing, 2024 Dec vol. 1, no. 1, pp.1-12, 2024.

Z. Seyedibanekohal, F. Rahmati, "A practical vehicular-fog-based privacy-preserving attribute-based keyword search system using potential games", Transactions On Emerging Telecommunications Technologies, 2024 Oct vol. 35, no. 10, , 2024.

A. Hossein Gholi Zadeh, F. Rahmati, , Ximeng Liu, "Homomorphic multi-party computation for Internet of Medical Things", Peer-to-Peer Networking and Applications, 2024 Sep vol. 0, no. 0, pp.1-21, 2024.

A. Hossein Gholi Zadeh, F. Rahmati, "Privacy-preserving data and function in cloud environments using homomorphic encryption", , 2024 Mar vol. 12, no. 1, pp.30-48, 2024.

N. Taghipour, S. Bayati, F. Rahmati, "HOMOLOGICAL LINEAR QUOTIENTS AND EDGE IDEALS OF GRAPHS", Bulletin of The Australian Mathematical Society, 2024 Jan vol. -, no. 0, pp.1-12, 2024.

M. Yousefi Khoshbakht, F. Didehvar, F. Rahmati, Zakir Hussain Ahmed, "Fixed fleet open vehicle routing problem: Mathematical model and a modified an colony optimization", Bulletin of The Polish Academy of Sciences-Technical Sciences, 2024 Jan vol. 72, no. 1, pp.1-10, 2024.

Z. Seyedibanekohal, F. Rahmati, , Ximeng Liu, "Verifiable and privacy-preserving fine-grained data management in vehicular fog computing: A game theory-based approach", Peer-to-Peer Networking and Applications, 2023 Dec vol. 17, no. 1, pp.410-431, 2023.

N. Taghipour, S. Bayati, F. Rahmati, "Comparison of symbolic and ordinary powers of parity binomial edge ideals", Monatshefte Fur Mathematik, 2023 Nov vol. online, no. 2023, pp.1-16, 2023.

A. Hossein Gholi Zadeh, F. Rahmati, , Hamid Damadi, Ximeng Liu, "Privacy-preserving joint data and function homomorphic encryption for cloud software services", Ieee Internet of Things Journal, 2023 Jun vol. 1, no. 11, pp.728-741, 2023.

I. Jahani, S. Bayati, F. Rahmati, "On the Equality of Symbolic and Ordinary Powers of Binomial Edge Ideals", Bulletin of The Brazilian Mathematical Society, 2022 Dec vol. 54, no. 7, pp.1-13, 2022.

V. Nourozi, F. Rahmati, "THE RANK OF THE CARTIER OPERATOR ON CERTAIN Fq2-MAXIMAL FUNCTION FIELDS", Missouri Journal of Mathematical Sciences, 2022 Dec vol. 34, no. 2, pp.184-190, 2022.

V. Nourozi, F. Rahmati, Saeed Tafazolian, "The a-Number of Certain Hyperelliptic Curves", Iranian Journal of Science & Technology, 2022 Jul vol. 46, no. 4, pp.1235-1239, 2022.

M. Mozaffari, F. Rahmati, "Applying IOTA into distributed computing to master the uncertainty", .Aut Journal of Mathematics and Computing, 2022 Jan vol. 3, no. 1, pp.93-99, 2022.

P. Nadi, F. Rahmati, "Lyubeznik numbers of almost complete intersection and linked ideals", Hiroshima Mathematical Journal, 2021 Nov vol. 52, no. 1, pp.1-9, 2021.

V. Nourozi, Saeed Tafazolian, F. Rahmati, "The a-number of jacobians of certain maximal curves", Transactions On Combinatorics, 2021 Jun vol. 10, no. 2, pp.121-128, 2021.

H. Damadi, F. Rahmati, "On the rank of the holomorphic solutions of PDE associated to directed graphs", Aut Journal of Mechanical Engineering, 2021 Jan vol. 1, no. 2, pp.1-9, 2021.

P. Nadi, F. Rahmati, "Lyubeznik and Betti numbers for homogeneous ideals", Rocky Mountain Journal of Mathematics, 2020 Dec vol. 50, no. 6, pp.2157-2165, 2020.

H. Fallaheslamloo, F. Didehvar, F. Rahmati, "An approximation algorithm for the balanced capacitated minimum spanning tree problem", Scientia Iranica, 2020 Nov vol. 0, no. 0, , 2020.

V. Nourozi, F. Rahmati, Morteza Ahmadi, "McCoy property of Hurwitz series rings", Asian-European Journal of Mathematics, 2020 Sep vol. 0, no. 0, , 2020.

H. Fallaheslamloo, F. Didehvar, F. Rahmati, "Approximation Algorithms for the Load-Balanced Capacitated Vehicle Routing Problem", Bulletin of The Iranian Mathematical Society, 2020 Aug vol. -, no. 0, , 2020.

P. Nadi, F. Rahmati, Majid Eghbali, "Lyubeznik tables of linked ideals", Journal of Algebra and Its Applications, 2020 Jul vol. 19, no. 7, pp.1-7, 2020.

B. Lajmiri, F. Rahmati, "PROPERTIES OFT-SPREAD PRINCIPAL BOREL IDEALS GENERATED IN DEGREE TWO", Facta Universitatis-Series Mathematics and Informatics, 2020 Apr vol. 35, no. 1, pp.131-140, 2020.

Hosein Kheiri, F. Rahmati, Azam Etemad, "A Classification of Line Bundles over a Scheme", Iranian Journal of Science & Technology, 2020 Jan vol. 44, no. 1, pp.259-263, 2020.

Jurgen Herzog,, B. Lajmiri, F. Rahmati, "On the associated prime ideals and the depth of powers of squarefree principal Borel ideals", International Electronic Journal of Algebra, 2019 Jul vol. 26, no. 0, pp.224-244, 2019.

S. Bayati, F. Rahmati, "Depth of powers of generalized Hibi ideals", Journal of Algebra and Its Applications, 2019 Mar vol. 0, no. 0, , 2019.

H. Shojaei Jeshvaghani, F. Rahmati, "THE DIAMETER OF THE ZERO-DIVISOR GRAPH OF THE IDEALIZATION OF THE RING R IN R", Jp Journal of Algebra Number Theory and Applications, 2019 Jan vol. 39, no. 5, pp.603-618, 2019.

Z. Ferdosi, F. Rahmati, Mohammad Hosein Tadoyon, "On the Stopping Distance of SA-LDPC Codes by Transversal Designs", Ieee Access, 2018 Jul vol. 6, no. 0, pp.40979-40989, 2018.

S.M. Seyyedi Siahkole, F. Rahmati, "Some Algebraic and Combinatorial Prop erties of the Complete T-Partite Graphs", Iranian Journal of Mathematical Sciences and Informatics, 2018 Mar vol. 13, no. 1, pp.131-138, 2018.

Z. Ferdosi, F. Rahmati, Mohammad H. Tadayon, "Effect of one redundant parity-check equation on the stopping distance", Journal of Applied Mathematics and Computing, 2018 Feb vol. 0, no. 0, pp.1-13, 2018.

H. Damadi, F. Rahmati, "ON LATTICE IDEALS AND LATTICE BASIS IDEALS ASSOCIATED TO ORIENTED GRAPHS", Transactions On Combinatorics, 2018 Feb vol. 7, no. 2, pp.35-46, 2018.

N. Keyvan, F. Rahmati, "PRODUCTS OF GRAPHS AND NORDHAUS-GADDUM TYPE INEQUALITIES", Transactions On Combinatorics, 2018 Feb vol. 7, no. 1, pp.31-36, 2018.

S.M. Seyyedi Siahkole, F. Rahmati, "Regularity and projective dimension of the edge ideal of a generalized theta graph", Turkish Journal of Mathematics, 2018 Jan vol. 42, no. 1, pp.320-338, 2018.

Elaheh Banisaeed, F. Rahmati, Khadijeh Ahmadi, Majid Eghbali, "On the relation between formal grade and depth with a view toward vanishing of Lyubeznik numbers", Communications In Algebra, 2017 Apr vol. 45, no. 12, pp.5137-5144, 2017.

M. Saeedi, F. Rahmati, "ON THE HILBERT SERIES OF BINOMIAL EDGE IDEALS OF GENERALIZED TREES", Transactions On Combinatorics, 2016 Dec vol. 6, no. 3, pp.11-28, 2016.

A. Mahdavi, F. Rahmati, "On the Frobenius vector of some simplicial affine semigroups", Bulletin of The Belgian Mathematical Society-Simon Stevin, 2016 Nov vol. 23, no. 4, pp.573-582, 2016.

A. Mahdavi, F. Rahmati, "ON NUMERICAL SEMIGROUPS WITH EMBEDDING DIMENSION THREE", Transactions On Combinatorics, 2016 Jul vol. 6, no. 2, pp.1-6, 2016.

S.M. Seyyedi Siahkole, F. Rahmati, "Cohen Macaulayness and Arithmetical Rank of Generalized Theta Graphs", Mathematics, 2016 Jun vol. 4, no. 43, pp.1-18, 2016.

H. Damadi, F. Rahmati, "Smoothness in Binomial Edge Ideals", Mathematics, 2016 Jun vol. 4, no. 37, pp.1-6, 2016.

Majid Yousefi Khoshbakht, Azam Dolatnejad, F. Didehvar, F. Rahmati, "A Modified Column Generation to Solve the Heteregoneous Fixed Fleet Open Vehicle Routing Problem", Journal of Engineering, 2016 May vol. 0, no. 0, pp.1-13, 2016.

Majid Yusefi Khoshbakht, F. Didehvar, F. Rahmati, "A Mixed Integer Programming Formulation for the Heterogeneous Fixed Fleet Open Vehicle Routing Problem", Journal of Optimization In Industrial Engineering, 2015 Jul vol. 8, no. 18, pp.37-46, 2015.

M. Yousefi Khoshbakht, F. Didehvar, F. Rahmati, "An Effective Rank Based Ant System Algorithm for Solving the Balanced Vehicle Routing Problem", International Journal of Industrial Engineering-Theory Applications and Practice, 2015 Feb vol. 23, no. 1, pp.45-55, 2015.

S.M. Seyyedi Siahkole, F. Rahmati, "SOME PROPERTIES OF GLUED GRAPHS AT COMPLETE CLONE IN THE VIEW OF ALGEBRAIC COMBINATORIC", Science International-Lahore, 2014 Dec vol. 27, no. 1, pp.39-47, 2014.

Saeed Akbari, F. Rahmati, S. Zare Firoozabadi, "Zero-Sum Magic Labelings and Null Sets of Regular Graphs", Electronic Journal of Combinatorics, 2014 Mar vol. 21, no. 2, pp.1-9, 2014.

Saeed Akbari, D. Kiani, Fatemeh Mohammadi, Somayeh Moradi, F. Rahmati, "An Algebraic Criterion for the Choosability of Graphs", Graphs and Combinatorics, 2014 Mar vol. 30, no. 2, pp.1-10, 2014.

M. Yousefi Khoshbakht, F. Didehvar, F. Rahmati, "An Efficient Solution for the Vehicle Routing Problem by Using a Hybrid Elite Ant System", International Journal of Computers Communications & Control, 2014 Mar vol. 9, no. 3, pp.340-347, 2014.

S. Zare Firoozabadi, F. Rahmati, "On the signed star domination number of regular multigraphs", Periodica Mathematica Hungarica, 2014 Jan vol. 68, no. 1, pp.1-8, 2014.

S. Bayati, F. Rahmati, "Squarefree Vertex Cover Algebra", Communications In Algebra, 2013 Dec vol. 1, no. 42, pp.1532-1538, 2013.

Mohammad Sedighpour, M. Yousefi Khoshbakht, Vahid Ahmadi, F. Didehvar, F. Rahmati, "Solving the Open Vehicle Routing Problem by a Modified Ant Colony Optimization", Kuwait Journal of Science and Engineering, 2013 Dec vol. 40, no. 3, pp.12-32, 2013.

M. Yousefi Khoshbakht, F. Didehvar, F. Rahmati, "Solving the heterogeneous fixed fleet open vehicle routing problem by a combined metaheuristic algorithm", International Journal of Production Research, 2013 Nov vol. 51, no. 24, pp.1-11, 2013.

Shahrood Azami, M. Yousefi Khoshbakht, F. Didehvar, F. Rahmati, "An Ant Colony algorithm hybridized with insert and swap heuristics for the Vehicle Routing Problem with Time Windows", , 2013 Oct vol. 9, no. 4, pp.15-30, 2013.

S. Bayati, F. Rahmati, "SQUAREFREE VERTEX COVER ALGEBRAS", Communications In Algebra, 2013 Oct vol. 42, no. 4, pp.1518-1538, 2013.

M. Yousefi Khoshbakht, F. Didehvar, F. Rahmati, "An Improved Modified Tabu Search Algorithm to Solve the Vehicle Routing Problem with Simultaneous Pickup and Delivery", Journal of Advances In Computer Research, 2013 May vol. 3, no. 4, pp.55-66, 2013.

M. Yousefi Khoshbakht, F. Didehvar, F. Rahmati, "A Hybrid Ant Colony System for the Heterogeneous Fleet Vehicle Routing Problem", , 2012 Sep vol. 9, no. 2, pp.191-207, 2012.

M. Yousefi Khoshbakht, F. Didehvar, F. Rahmati, "Modification of the Elite Ant System in Order to Avoid Local Optimum Points in the Traveling Salesman Problem", Wulfenia, 2012 Sep vol. 19, no. 9, pp.181-195, 2012.

F. Didehvar, M. Yousefikhoshbakht, F. Rahmati, M. Sedighpour, "An Effective Imperialist Competitive Algorithm for Solving the Open Vehicle Routing Problem", , 2012 May vol. 9, no. 1, pp.20-34, 2012.

Majid Yousefikhoshbakht, F. Didehvar, F. Rahmati, "Application a Modified Imperialist Competitive Algorithm for Solving the Traveling Salesman Problem", , 2012 Jan vol. 1, no. 2, pp.29-49, 2012.

L. Sharifan, F. Rahmati, "Rigid resolution of a finitely generated module over a regular local ring", Bulletin of The Iranian Mathematical Society, 2010 Oct vol. 36, no. 2, pp.85-97, 2010.

M. Omidali, F. Rahmati, "OnThe Type and The Minimal Presentation of Certain Numerical Semigroups", Communications In Algebra, 2009 Mar vol. , no. 37, , 2009.

H. Sabzrou, F. Rahmati, "The Frobenius Number And a -Invariant", Rocky Mountain Journal of Mathematics, 2006 Dec vol. , no. 6, , 2006.

M. Omidali, F. Rahmati, "On The Regularity and Hilbert Function of Projective Monomial Curves", , 2005 Dec vol. 0, no. 0, , 2005.

H. Sabzrou, F. Rahmati, "Matrices defining gorenstein lattice ideals", Rocky Mountain Journal of Mathematics, 2005 Apr vol. , no. , , 2005.

F. Rahmati, A. Hashemi, "A note on the fitting ideals in free resolution", , 2001 Dec vol. , no. 2, , 2001.

Taught Courses

Course title

Description

Headlines

Date

Advanced Algebra

Introduce module theory

4051

Information theory and Applications

4051

Cryptography1

4051

Advanced Algebra

آشنایی با نظریه مدولها

4042

Algebraic Topology (I)

آشنایی با مفاهیم توژولوژی جبری و کاربردها

4042

Applied Algebra

آشنایی با کاربردهای جبر در رمزنگاری کلید عمومی پسا کوانتمی

4042

Math. (II)

آشنایی با نوابع برداری و توابع چند متغیره

4042

Math. (I)

4041

Advanced Algebra

4041

Math. (II)

4032

Math. (II)

4032