Sara Saeedi Madani - Amirkabir University of Technology

Research Interests

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Title

Start date

1

Combinatorial and Computational Commutative Algebra

2

Algebraic graph Theory & Combinatorics

3

Graphical & Topological Data Analysis

4

Al & Machine Learning with Combinatorial and Algebraic aspects

5

Coding Theory

Supervised MSc Theses

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Thesis title

By

Date

1

Some algebraic invariants of parity binomial edge ideals

REZVAN BEIRANVAND

2024 Oct

2

Numerical semigroup algebras and their coefficient rings

ARMAN ATAEI KACHOUEI & FARHAD RAHMATI

2024 Feb

3

AFFINE SEMIGROUPS OF MAXIMAL PROJECTIVE DIMENSION

MAHDI TAATI JELISEH & FARHAD RAHMATI

2023 Sep

4

Homological and combinatorial invariants of edge ideals of graphs

HOSSEIN ROODBARANI & DARIUSH KIANI

2023 Mar

5

Betti tables of edge ideals of graphs

ALI MOFTAKHARI MOKHTARIANFAR

2022 Oct

6

Binomial ideals associated to combinatorial objects and their powers

RASOOL ROSTAPISHEH

2022 Sep

7

Binomial ideals associated to combinatorial objects and related algebraic and combinatorial invariants

ALIREZA MASAELI & DARIUSH KIANI

2022 Jul

8

Repeated-root constacyclic codes and their duals

SEYEDEHAILAR MOUSAVIPOUR & DARIUSH KIANI

2022 Mar

9

Cubical and Path homologies of graphs

AYSA TAJERI EMAMCHAEI

2021 Oct

10

probabilistic methods in simplicial complexes and ideals

SIAVASH ASKARZADEH AMIRBANDEH & DARIUSH KIANI

2021 Oct

11

Algebraic Graph Theoretical Methods in Data Science

TAHER AKBARI & DARIUSH KIANI

2021 Oct

12

Persistent homologies and machine learning

NILOOFAR JAZAERI

2021 Oct

13

Some bounds for domination number of graphs

AHMADREZA SHEYKH MOHAMMADI

2021 Apr

14

binomial edge ideals of some graphs

MEHDI BARZEGARBAFRUOEI & DARIUSH KIANI

2021 Jan

15

Algebraic and combinatorial properties of persistent homologies

AZADEH ASLAMI & DARIUSH KIANI

2020 Oct

16

Some Games On Graph:Graph Burning, Firefighter

ABBAS RAHIMI & DARIUSH KIANI

2019 Sep

17

Monomial Ideals and Computation of their v-number

ABOLFAZL SOLTANPOUR & DARIUSH KIANI

2025 Sep

18

Classical and hierarchical spectral graph clustering and some applications in hybrid energy systems

ZAHRA KHADIRI & DARIUSH KIANI

2025 Oct

19

Classical and generalized spectral clustering and some applications in software defect detection

MELIKA SHEMSHADI KOL AFZANI

2025 Oct

Books

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Title

Author(s)

Publisher country

publication date

version

1

Multigraded algebra and applications - Chapter 4: Binomial Edge Ideals: A Survey

Saeedi Madani Sara

Germany

1

2

Homological and Computational Methods in Commutative Algebra-Ideals of poset homomorphisms: a survey

Martina-Juhnke-Kubitzke ، Saeedi Madani Sara

Germany

1

Journal Papers

1

Hibi Takayuki ، Asloob Qureshi Ayesha ، Saeedi Madani Sara, "Complementary edge ideals", Expositiones Mathematicae, 2026 May vol. 44, no. , pp.1-10, 2026.

2

KIANI DARIUSH ، Saeedi Madani Sara ، Zhu Guangjun, "Castelnuovo-Mumford Regularity of Generalized Binomial Edge Ideals of Graphs", Bulletin of The Malaysian Mathematical Sciences Society, 2026 Apr vol. 49, no. 117, pp.1-17, 2026.

3

Saeedi Madani Sara, "Generalized binomial edge ideal and the Corona product of graphs", , 2024 Oct vol. 11, no. 2, pp.1-14, 2024.

4

ESMAILPOURLIALESTANI ARYAN ، Saeedi Madani Sara ، KIANI DARIUSH, "Combinatorial upper bounds for the smallest eigenvalue of a graph", Archiv Der Mathematik, 2024 May vol. 0, no. 0, pp.1-10, 2024.

5

Tim Romer ، Saeedi Madani Sara, "Cycle algebras and polytopes of matroids", Journal of Pure and Applied Algebra, 2023 Dec vol. 228, no. 6, pp.1-23, 2023.

6

Takayuki Hibi ، Saeedi Madani Sara, "MEDITERRANEAN JOURNAL OF MATHEMATICS", Mediterranean Journal of Mathematics, 2023 Oct vol. 20, no. 310, pp.1-10, 2023.

7

Nursel Erey ، Juergen Herzog ، Takayuki Hibi ، Saeedi Madani Sara, "The normalized depth function of squarefree powers", Collectanea Mathematica, 2022 Sep vol. 0, no. 0, , 2022.

8

KIANI DARIUSH ، Saeedi Madani Sara ، Saeed Tafazolian, "Hankel Edge Ideals of Trees and (Semi-)Hamiltonian Graphs", Bulletin of The Malaysian Mathematical Sciences Society, 2022 Jun vol. 0, no. 0, , 2022.

9

Nursel Erey ، Juergen Herzog ، Takayuki Hibi ، Saeedi Madani Sara, "Matchings and squarefree powers of edge ideals", Journal of Combinatorial Theory Series A, 2022 May vol. 188, no. 105585, , 2022.

10

ROUZBAHANI MALAYERI MOHAMMAD ، Saeedi Madani Sara ، KIANI DARIUSH, "On the depth of binomial edge ideals of graphs", Journal of Algebraic Combinatorics, 2022 Mar vol. 55, no. 1, pp.827-846, 2022.

11

Saeedi Madani Sara ، KIANI DARIUSH, "Induced matchings in strongly biconvex graphs and some algebraic applications", Mathematische Nachrichten, 2021 Jun vol. 295, no. 6, pp.1160-1174, 2021.

12

ROUZBAHANI MALAYERI MOHAMMAD ، Saeedi Madani Sara ، KIANI DARIUSH, "A proof for a conjecture on the regularity of binomial edge ideals", Journal of Combinatorial Theory Series A, 2021 May vol. 180, no. 4, pp.1-9, 2021.

13

ROUZBAHANI MALAYERI MOHAMMAD ، Saeedi Madani Sara ، KIANI DARIUSH, "Binomial edge ideals of small depth", Journal of Algebra, 2021 Apr vol. 572, no. 8, pp.231-244, 2021.

14

Saeedi Madani Sara ، KIANI DARIUSH, "The regularity of binomial edge ideals of graphs", .Aut Journal of Mathematics and Computing, 2020 Aug vol. 1, no. 2, pp.217-221, 2020.

15

ROUZBAHANI MALAYERI MOHAMMAD ، Saeedi Madani Sara ، KIANI DARIUSH, "Regularity of binomial edge ideals of chordal graphs", Collectanea Mathematica, 2020 Jun vol. 72, no. 2, pp.411-422, 2020.

16

Saeedi Madani Sara ، KIANI DARIUSH, "Binomial edge ideals of regularity 3", Journal of Algebra, 2018 Dec vol. 515, no. 23, pp.157-172, 2018.

17

Tim Romer ، Saeedi Madani Sara, "Retracts and algebraic properties of cut algebras", European Journal of Combinatorics, 2018 Mar vol. 69, no. 3, pp.214-236, 2018.

18

Jurgen Herzog ، KIANI DARIUSH ، Saeedi Madani Sara, "The linear strand of determinantal facet ideals", Michigan Mathematical Journal, 2017 Apr vol. 66, no. 1, pp.107-123, 2017.

1

M. Juhnke-Kubitzke, L. Katthan, S. Saeedi Madani, "Algebraic properties of ideals of poset homomorphisms", J. Algebraic Combin., 2016 vol. 44, no. 3, pp.757-784, 2016.

2

D. Kiani, S. Saeedi Madani, "The Castelnuovo-Mumford regularity of binomial edge ideals", J. Combin. Theory Ser. A, 2016 vol. 139, no. , pp.80-86, 2016.

3

D. Kiani, S. Saeedi Madani, "Betti numbers of path ideals of trees", Comm. Algebra, 2016 vol. 44, no. , pp.5376-5394, 2016.

4

S. Saeedi Madani, D. Kiani, "Cohen-Macaulay and Gorenstein path ideals of trees", Algebra Colloq., 2016 vol. 23, no. 3, pp.469-480, 2016.

5

V. Ene, J. Herzog, T. Hibi, S. Saeedi Madani, "Pseudo-Gorenstein and level Hibi rings", J. Algebra, 2015 vol. 431, no. , pp.138-161, 2015.

6

J. Herzog, A. Macchia, S. Saeedi Madani, V. Welker, "On the Lovasz ideal of orthogonal representations of a graph in R^2", Adv. In Appl. Math., 2015 vol. 71, no. , pp.146-173, 2015.

7

D. Kiani, S. Saeedi Madani, "Some Cohen-Macaulay and unmixed binomial edge ideals", Comm. Algebra, 2015 vol. 43, no. , pp.5434-5453, 2015.

8

V. Ene, J. Herzog, S. Saeedi Madani, "A note on the regularity of Hibi rings", Manuscripta Math., 2015 vol. 148, no. , pp.501-506, 2015.

9

D. Kiani, S. Saeedi Madani, "The edge ideals of complete multipartite hypergraphs", Comm. Algebra, 2015 vol. 43, no. , pp.3020-3032, 2015.

10

D. Kiani, S. Saeedi Madani, N. Terai, "Gorenstein and S_r path ideals of cycles", Glasgow Math. J., 2015 vol. 57, no. , pp.7-15, 2015.

11

D. Kiani, S. Saeedi Madani, "Binomial edge ideals with pure resolutions", Collectanea Math., 2014 vol. 65, no. 3, pp.331-340, 2014.

12

J. Herzog, S. Saeedi Madani, "The coordinate ring of a simple polyomino", Illinois J. Math., 2014 vol. 54, no. 4, pp.981-995, 2014.

13

S. Saeedi Madani, D. Kiani, "On the binomial edge ideal of a pair of graphs", Electron. J. Combin., 2013 vol. 20, no. 1, p.P48, 2013.

14

S. Saeedi Madani, D. Kiani, "Binomial edge ideals of graphs", Electron. J. Combin., 2012 vol. 19, no. 2, p.P44, 2012.

15

S. Saeedi Madani, D. Kiani, N. Terai, "Sequentially Cohen-Macaulay path ideals of cycles", Bull. Math. Soc. Sci. Math. Roumanie Tome, 2011 vol. 54, no. 102, pp.353-363, 2011.

Conference Papers

1

ZEYNALI ASMA ، KIANI DARIUSH ، Saeedi Madani Sara, "Pattern Vectors with the Characteristic Coefficients,", The First International Conference on Machine Learning and Knowledge Discovery (MLKD 2024), Dec 2024.

2

BARZEGARBAFROUEI MAHDI ، KIANI DARIUSH ، Saeedi Madani Sara, "ON THE REGULARITY OF SOME BINOMIAL IDEALS ASSOCIATED TO SOME SPECIFIC GRAPHS,", 12th Graph Theory and Algebraic Combinatorics Conference, Feb 2024.

3

Saeedi Madani Sara ، Tim Romer, "Matroids and their Cycle Polytopes and Algebras,", The 19th seminar on commutative algebra and related topics, Jan 2024.

4

ROUZBAHANI MALAYERI MOHAMMAD ، KIANI DARIUSH ، Saeedi Madani Sara, "Some graphical invariants related to binomial edge ideals,", 11?? International Conference on Graph Theory and Algebraic Combinatorics, Mar 2021.

5

ROUZBAHANI MALAYERI MOHAMMAD ، KIANI DARIUSH ، Saeedi Madani Sara, "A combinatorial lower bound for the depth of binomial edge ideals,", The 17th (Virtual) Seminar on Commutative Algebra and Related Topics, Jan 2021.

6

ROUZBAHANI MALAYERI MOHAMMAD ، KIANI DARIUSH ، Saeedi Madani Sara, "On the Depth of Binomial Edge Ideals,", The 16th Seminar on Commutative Algebra and Related Topics, Jan 2020.

7

Saeedi Madani Sara ، Nursel Erey ، Juergen Herzog ، Takayuki Hibi, "Squarefree Powers of Edge Ideals,", The 16th Seminar onCommutative Algebra and Related Topics, Jan 2020.

8

ROUZBAHANI MALAYERI MOHAMMAD ، KIANI DARIUSH ، Saeedi Madani Sara, "Binomial Edge Ideals and Strongly Interval Graphs,", 26th Iranian Algebra Seminar, Mar 2019.

9

Saeedi Madani Sara ، Tim Romer, "Toric Algebras Arising from Cuts in Graphs,", The 15th Seminar on Commutative Algebra and Related Topics, Jan 2019.

10

ROUZBAHANI MALAYERI MOHAMMAD ، KIANI DARIUSH ، Saeedi Madani Sara, "On a Conjecture About Castelnuovo-Mumford Regularity of Binomial Edge Ideals,", The 15th Seminar on Commutative Algebra and Related Topics, Jan 2019.

11

Saeedi Madani Sara ، KIANI DARIUSH, "Free Resolutions of Binomial Edge Ideals,", The 14th Seminar on Commutative Algebra and Related Topics, Jan 2018.

12

KIANI DARIUSH ، Saeedi Madani Sara, "On some properties of binomial edge ideals,", Combinatorics 2016, May 2016.

Taught Courses

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Course title

Description

Headlines

Date

1

Graph Theory

4051

2

LINEAR AND MULTILINEAR ALGEBRA

آشنایی با کاربردهای جبر خطی در نظریه گراف

4042

3

Math. (II)

آشنایی با توابع برداری و توابع چندمتغیری

4042

4

Topics in Combinatorics

4041

5

Math. (I)

4041

6

Topics in Data Science

4032

7

Math. (II)

4032