Published/to appear

  1. Minimum algebraic connectivity and maximum diameter: Aldous-Fill and Guiduli-Mohar conjectures, with M. Abdi, J. Combin. Theory Ser. B, to appear. [arXiv]
  2. A discrete variation of the Littlewood-Offord problem, with H. Esmailian, Electron. J. Combin. 31 (2024), P1.42. [arXiv]
    See here for supplementary Python code.
  3. A Hall-type theorem with algorithmic consequences in planar graphs, with H. Jowhari, Discrete Math. 347 (2024), 113892, 8 pp. [arXiv]
  4. Complete signed graphs with largest maximum or smallest minimum eigenvalue, with A Majidi, Discrete Math. 347 (2024), 113860, 14 pp.
  5. Quartic graphs with minimum spectral gap, with M. Abdi, J. Graph Theory 102 (2023), 205–233. [arXiv]
    See here for supplementary Maple codes.
  6. Gap sets for the spectra of regular graphs with minimum spectral gap, with M. Abdi, Discrete Math. 346 (2023), 113136, 19 pp. [arXiv]
  7. Spectral classes of strongly-regular and distance-regular graphs, with M. Koohestani, Linear Algebra Appl. 641 (2022), 182–199.
  8. Hamiltonicity of a coprime graph, with M.H. Bani Mostafa A., Graphs Combin. 37 (2021), 2387–2395. [arXiv]
  9. Regular graphs with minimum spectral gap, with M. Abdi, W. Imrich, European J. Combin. 95 (2021), 103328, 18 pp. [arXiv]
  10. Signed graphs with maximal index, with A. Majidi, Discrete Math. 344 (2021), 112463, 8 pp. [arXiv]
  11. Some algebraic properties of Sierpiński-type graphs, with M. Farrokhi, H.R. Maimani, F. Rahimi Mahid, Ars Math. Contemp. 20 (2021), 171–186. [arXiv]
  12. Maximal graphs with respect to rank, with H. Esmailian, S. Hossein Ghorban, G.B. Khosrovshahi, Discrete Math. 344 (2021), 112191, 11 pp. [arXiv] See here for the data sets of maximal graphs reported in the paper.
  13. On the volumes and affine types of trades, with S. Kamali, G.B. Khosrovshahi, D.S. Krotov, Electron. J. Combin. 27(1) (2020), #P1.29. [arXiv]
  14. Maximum order of graphs with a given corank, with H. Esmailian, Linear Algebra Appl. 588 (2020), 122–133.
  15. On sign-symmetric signed graphs, with W.H. Haemers, H.R. Maimani, L. Parsaei Majd, Ars Math. Contemp. 19 (2020), 83–93. [arXiv]
  16. Vertex types in threshold and chain graphs, with M. Anđelić, S.K. Simić, Discrete Applied Math. 269 (2019), 159–168. [arXiv]
  17. Eigenvalue-free interval for threshold graphs, Linear Algebra Appl. 583 (2019), 300–305. [arXiv]
  18. Cographs: eigenvalues and Dilworth number, Discrete Math. 342 (2019), 2797–2803. [arXiv]
  19. Spectral properties of cographs and P5-free graphs, Linear Multilinear Algebra 67 (2019), 1701–1710. [arXiv]
  20. On eigenvalues of Seidel matrices and Haemers' conjecture, Des. Codes Cryptogr. 84 (2017), 189–195. [PDF]
  21. Nontrivial nuciferous graphs exist, Ars Math. Contemp. 11 (2016), 391–395. [arXiv]
  22. Proof of a conjecture on `plateaux' phenomenon of graph Laplacian eigenvalues, Linear Algebra Appl. 506 (2016), 274–278. [arXiv]
  23. Integral trees with given nullity, with A. Mohammadian, B. Tayfeh-Rezaie, Discrete Math. 339 (2016), 157–164. [arXiv]
  24. On order and rank of graphs, with A. Mohammadian, B. Tayfeh-Rezaie, Combinatorica 35 (2015), 655–668. [arXiv]
  25. Maximum order of triangle-free graphs with a given rank, with A. Mohammadian, B. Tayfeh-Rezaie, J. Graph Theory 79 (2015), 145–158. [arXiv]
  26. Inverses of triangular matrices and bipartite graphs, with R.B. Bapat, Linear Algebra Appl. 447 (2014), 68–73. [arXiv]
  27. Spanning trees and even integer eigenvalues of graphs, Discrete Math. 324 (2014), 62–67. [arXiv]
  28. On the eigenvalues of certain Cayley graphs and arrangement graphs, with B.F. Chen, K.B. Wong, Linear Algebra Appl. 444 (2014), 246–253. [arXiv]
  29. Cyclic decomposition of k-permutations and eigenvalues of the arrangement graphs, with B.F. Chen, K.B. Wong, Electron. J. Combin. 20(4) (2013), #P22. [arXiv]
  30. Graphs with few matching roots, Graphs Combin. 29 (2013), 1377–1389. [arXiv]
  31. On optimality of designs with three distinct eigenvalues, with M.R. Faghihi, G.B. Khosrovshahi, S. Tat,  Electron. J. Combin. 20(2) (2013), #P16. [arXiv]
  32. Nowhere-zero eigenvectors of graphs, with S. Akbari, A. Mahmoodi, Linear Multilinear Algebra 61 (2013), 273–279.
  33. Bipartite graphs with five eigenvalues and pseudo designs,  J. Algebraic Combin. 36 (2012), 209–221. [arXiv]
  34. Maximum order of trees and bipartite graphs with a given rank, with A. Mohammadian, B. Tayfeh-Rezaie, Discrete Math. 312 (2012), 3498–3501.
  35. Intersection matrices, revisited, with N. Ghareghani, M. Mohammad-Noori,  J. Combin. Des. 20 (2012), 383–397. [arXiv]
  36. Integral trees of odd diameters, with A. Mohammadian, B. Tayfeh-Rezaie, J. Graph Theory 70 (2012), 332–338. [arXiv]
  37. Simple signed Steiner triple systems, with G.B. Khosrovshahi,  J. Combin. Des. 20 (2012), 332–343. [arXiv]
  38. On edge star sets in trees, with S. Akbari, A. Mahmoodi, Discrete Math. 311 (2011), 1172–1178.
  39. A relation between the signless Laplacian and Laplacian eigenvalues of a graph, with S. Akbari, J.H. Koolen, M.R. Oboudi, J. Algebraic Combin. 32 (2010), 459–464.
  40. On sum of powers of the Laplacian and signless Laplacian eigenvalues of graphs, with S. Akbari, J.H. Koolen, M.R. Oboudi, Electron. J. Combin. 17 (2010), #R115.
  41. Bounds for the Huckel energy of a graph, with J.H. Koolen, J.Y. Yang, Electron. J. Combin. 16 (2009), #R134. [arXiv]
  42. Edge Addition, singular values, and energy of graphs and matrices, with S. Akbari, M.R. Oboudi, Linear Algebra Appl. 430 (2009), 2192–2199.
  43. On graphs whose star sets are (co-)cliques, with S. Akbari, A. Mahmoodi, Linear Algebra Appl. 430 (2009), 504–510.
  44. Some relations between rank, chromatic number and energy of graphs, with S. Akbari, S. Zare, Discrete Math. 309 (2009), 601–605. [arXiv]
  45. On eigensharp and almost eigensharp graphs, with H. R. Maimani, Linear Algebra Appl. 429 (2008), 2746–2753.
  46. Choice number and energy of graphs, with S. Akbari, Linear Algebra Appl. 429 (2008), 2687–2690. [arXiv]
  47. Inclusion matrices and chains, with G. B. Khosrovshahi, Ch. Maysoori, M. Mohammad-Noori, J. Combin. Theory Ser. A 115 (2008), 878–887. [arXiv]
  48. Some relations between the ranks of a graph and its complement, with S. Akbari, A. Alipour, J. B. Ebrahimi, M.M. Shirazi, Linear Algebra Appl. 422 (2007), 341–347.
  49. {–1, 0, 1}-Basis for the null space of a forest, with S. Akbari, A. Alipour, G.B. Khosrovshahi,  Linear Algebra Appl. 414 (2006), 506–511.

 

  Submitted/preprint

  1. Prime labeling of ladders, with S. Kamali, arXiv:1610.08849.