IPM Positions

Senior Associate Researcher, School of Mathematics (2017 - 2020 (From September 23, 2017 till March 19, 2020))

Past IPM Positions

Resident Researcher, School of Mathematics (2011 - 2017) Post-Doctoral Research Fellow, School of Mathematics (2010 - 2011) (From June 2010 till September 23, 2011 ) Student Researcher, School of Mathematics (2005 - 2010)

Non IPM Affiliations

Associate Professor of K.N. Toosi University of Technology

Research Interests

Algebraic Graph Theory

Related Papers

1.	E. Ghorbani, Sara. Kamali and G. B. Khosrovshahi (Joint with D. S. Krotov) On the volumes and affine types of trades Electron. J. Combin. (Publishied) [abstract]

2.	E. Ghorbani Eigenvalue-free interval for threshold graphs Linear Algebra Appl. (Publishied) [abstract]

3.	E. Ghorbani (Joint with M. Andelic and S. K. Simic) Vertex types in threshold and chain graphs Discrete Appl. Math. 269 (2019), 159-168  [abstract]

4.	E. Ghorbani Cographs: Eigenvalues and Dilworth number Discrete Math. 342 (2019), 2797-2803  [abstract]

5.	E. Ghorbani Spectral properties of cographs and P5-free graphs Linear Multilinear Algebra (Accepted) [abstract]

6.	E. Ghorbani Proof of a conjecture on `plateaux' phenomenon of graph Laplacian eigenvalues Linear Algebra Appl. 506 (2016), 274-278  [abstract]

7.	E. Ghorbani Nontrivial nuciferous graphs exist Ars Mathematica Contemporanea 11 (2016), 391-395  [abstract]

8.	E. Ghorbani On eigenvalues of Seidel matrices and Haemers' conjecture Des. Codes Cryptogr. (2016), DOI: 10.1007/s10623-016-0248-x  [abstract]

9.	E. Ghorbani, A. Mohammadian and B. Tayfeh-Rezaie Integral trees with given nullity Discrete Mathematics 339 (2016), 157-164  [abstract]

10.	E. Ghorbani, A. Mohammadian and B. Tayfeh-Rezaie Maximum order of triangle-free graphs with a given rank J. Graph Theory 79 (2015), 145-158  [abstract]

11.	E. Ghorbani, A. Mohammadian and B. Tayfeh-Rezaie On order and rank of graphs Combinatorica 35 (2015), 655-668  [abstract]

12.	E. Ghorbani (B. F. Chen and K. B. Wong) On the eigenvalues of certain Cayley graphs and arrangement graphs Linear Algebra Appl. 444 (2014), 246-253  [abstract]

13.	E. Ghorbani Spanning trees and even integer eigenvalues of graphs Discrete Math. 324 (2014), 62-67  [abstract]

14.	E. Ghorbani (Joint with R. B. Bapat) Inverses of triangular matrices and bipartite graphs Linear Algebra Appl. 447 (2014), 68-73  [abstract]

15.	E. Ghorbani (B. F. Chen and K. B. Wong) Cyclic decomposition of k-permutations and eigenvalues of the arrangement graphs Electron. J. Combin. 20 (2013), #P22  [abstract]

16.	E. Ghorbani and G. B. Khosrovshahi (Joint with M. R. Faghihi and S. Tat) On optimality of designs with three distinct eigenvalues Electron. J. Combin. 20 (2013), # P16  [abstract]

17.	E. Ghorbani Graphs with few matching roots Graphs Combin. 29 (2013), 1377-1389  [abstract]

18.	S. Akbari and E. Ghorbani (Joint with A. Mahmoodi) Nowhere-zero eigenvectors of graphs Linear Multilinear Algebra 61 (2013), 273-279  [abstract]

19.	N. Ghareghani and E. Ghorbani (Joint with M. Mohammad-Noori) Intersection matrices revisited J. Combin. Des. 20 (2012), 383-397  [abstract]

20.	E. Ghrobani, A. Mohammadian and B. Tayfeh-Rezaie Maximum order of trees and bipartite graphs with a given rank Discrete Mathematics 312 (2012), 3498-3501  [abstract]

21.	E. Ghorbani and G. B. Khosrovshahi Simple signed Steiner triple systems J. Combin. Des. (2012), DOI: 10.1002/jcd.21297  [abstract]

22.	E. Ghorbani Bipartite graphs with five eigenvalues and pseudo designs J. Algebraic Combin. 36 (2012), 209-221  [abstract]

23.	E. Ghorbani, A. Mohammadian and B. Tayfeh-Rezaie Integral trees of odd diameters J. Graph Theory 70 (2012), 332-338  [abstract]

24.	S. Akbari and E. Ghorbani (Joint with A. Mahmoodi) On edge star sets in trees Discrete Math. 311 (2011), 1172-1178  [abstract]

25.	S. Akbari, E. Ghorbani and M. R. Oboudi (Joint with J. H. Koolen) On sum of powers of the Laplacian and signless Laplacian eigenvalues of graphs Electron. J. Combin. 17 (2010), #R115  [abstract]

26.	S. Akbari, E. Ghorbani and M. R. Oboudi (Joint with J. H. Koolen) A relation between the Laplacian and signless Laplacian eigenvalues of a graph J. Algebraic Combin. 32 (2010), 459-464  [abstract]

27.	E. Ghorbani (Joint with J. H. Koolen and J. Y. Yang) Bounds for the huckel energy of a graph Electron. J. Combin. 16 (2009), #R134  [abstract]

28.	S. Akbari and E. Ghorbani (Joint with A. Mahmoodi) On graphs whose star sets are (co-)cliques Linear Algebra Appl. 430 (2009), 504-510  [abstract]

29.	S. Akbari and E. Ghorbani (Joint with M.R. Oboudi) Edge addition, singular values, and energy of graphs and matrices Linear Algebra Appl. 430 (2009), 2192-2199  [abstract]

30.	E. Ghorbani and H. R. Maimani On eigensharp and almost eigensharp graphs Linear Algebra Appl. 429 (2008), 2746-2753  [abstract]

31.	E. Ghorbani, G. B. Khosrovshahi, Ch. Maysoori and M. Mohammad-Noori Inclusion matrices and chains J. Combin. Theory Ser. A 115 (2008), 878-887  [abstract]

32.	S. Akbari and E. Ghorbani Choice number and energy of graphs Linear Algebra Appl. 429 (2008), 2687-2690  [abstract]

33.	S. Akbari and E. Ghorbani (Joint with S. Zare) Some relations between rank, chromatic number and energy of graphs Discrete Math. (Accepted) [abstract]

34.	S. Akbari, A. Alipour and E. Ghorbani (Joint with J. Ebrahimi Boroojeni and M. Mirjalalieh Shirazi) Some relations between rank of a graph and its complement Linear Algebra Appl. 422 (2007), 341-347  [abstract]

35.	S. Akbari, A. Alipour, E. Ghorbani and G. B. Khosrovshahi {−1,0,1}-basis for the null space of a forest Linear Algebra Appl. 414 (2006), 506-511  [abstract]