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IPM
30
YEARS OLD

“Behruz Tayfeh-Rezaie”

Tel:  (+98)(21)22290928
Fax:  (+98)(21)22290648
Email: 

IPM Positions

Professor, School of Mathematics
(2015 - Present
(from May 6, 2015))

Past IPM Positions

Associate Professor, School of Mathematics
(2007 - 2015)
(till May 5 )
Senior Post-Doctoral Research Fellow, School of Mathematics
(2000 - 2007)


Research Interests

Spectral graph theory, algebraic graph theory, combinatorial design theory (t-designs, large sets of t-designs, trades, Hadamard matrices and orthogonal designs), Computational methods in constructive combinatorics.

Research Activities

I am interested in the existence problems in design theory. I am working on the constructions methods for various designs such as trades, t-designs, large sets of t-designs and so on. I am also interested in the computational methods and algorithms in design theory. I am searching for some special t-desings with prescribed automorphism group by use of computers. Another interested field is orthogonal designs. I am researching on constructive methods for orthogonal designs.

Present Research Project at IPM

Combinatorics-Design Theory

Related Papers

1. A. Mohammadian and B. Tayfeh-Rezaie
Hadamard matrices with few distinct types
Linear Multilinear Algebra (Accepted) [abstract]
   
2. A. Mohammadian and B. Tayfeh-Rezaie
Star saturation number of random graphs
Discrete Math. 341 (2018), 1166-1170  [abstract]
   
3. E. Ghorbani, A. Mohammadian and B. Tayfeh-Rezaie
Integral trees with given nullity
Discrete Mathematics 339 (2016), 157-164  [abstract]
   
4. B. Tayfeh-Rezaie (Joint with B. Mohar, A. Rafiey, and H. Wu)
Interval minors of complete bipartite graphs
J. Graph Theory 82 (2016), 312-321  [abstract]
   
5. A. Mohammadian and B. Tayfeh-Rezaie
A note on order and eigenvalue multiplicity of strongly regular graphs
( In: Algebraic Design Theory and Hadamard Matrices)
[abstract]
   
6. B. Tayfeh-Rezaie (Joint with B. Mohar)
Median eigenvalues of bipartite graphs
J. Algebraic Combin. 41 (2015), 899-909  [abstract]
   
7. 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]
   
8. E. Ghorbani, A. Mohammadian and B. Tayfeh-Rezaie
On order and rank of graphs
Combinatorica 35 (2015), 655-668  [abstract]
   
9. A. Mohammadian and B. Tayfeh-Rezaie
On a family of diamond-free strongly regular graphs
SIAM J. Discrete Math. 28 (2014), 1906-1915  [abstract]
   
10. F. Ashraf and B. Tayfeh-Rezaie
Nordhaus-Gaddum type inequalities for Laplacian and signless Laplacian eigenvalues
Electron. J. Combin. 21 (2014), #P3.6  [abstract]
   
11. F. Ramezani and B. Tayfeh-Rezaie
Graphs with prescribed star complement for 1 as the second largest eigenvalue
Ars Combin. 116 (2014), 129-145  [abstract]
   
12. F. Ashraf, G. R. Omidi and B. Tayfeh-Rezaie
On the sum of signless laplacian eigenvalues of a graph
Linear Algebra Appl. 438 (2013), 4539-4546  [abstract]
   
13. B. Tayfeh-Rezaie (Joint with H. Kharaghani)
Hadamard matrices of order 32
J. Combin. Des. 21 (2013), 212-221  [abstract]
   
14. 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]
   
15. F. Ramezani and B. Tayfeh-Rezaie
Spectral characterization of some cubic graphs
Graphs Combin. 28 (2012), 869-876  [abstract]
   
16. E. Ghorbani, A. Mohammadian and B. Tayfeh-Rezaie
Integral trees of odd diameters
J. Graph Theory 70 (2012), 332-338  [abstract]
   
17. A. Mohammadian and B. Tayfeh-Rezaie
Graphs with four distinct Laplacian eigenvalues
J. Algebraic Combin. 34 (2011), 671-682  [abstract]
   
18. A. Mohammadian and B. Tayfeh-Rezaie
Some constructions of integral graphs
Linear Multilinear Algebra 59 (2011), 1269-1279  [abstract]
   
19. G. R. Omidi and B. Tayfeh-Rezaie (Joint with F. Ayoobi)
A note on graphs whose signless Laplacian has three distinct eigenvalues
Linear Multilinear Algebra 59 (2011), 701-706  [abstract]
   
20. A. Mohammadian and B. Tayfeh-Rezaie
The spectrum of the McKay-Miller-Siran graphs
Contemp. Math. 531 (2010), 197-199  [abstract]
   
21. A. Mohammadian and B. Tayfeh-Rezaie
A short proof of a theorem of Bang and Koolen
European J. Combin. 31 (2010), 1461-1463  [abstract]
   
22. B. Tayfeh-Rezaie (Joint with H. Kharaghani)
On the classification of Hadamard matrices of order 32
J. Combin. Des. DOI 10.1002/jcd (2010), 328-336  [abstract]
   
23. B. Tayfeh-Rezaie (Joint with P. Rowlinson)
Star complements in regular graphs: old and new results
Linear Algebra Appl. 432 (2010), 2230-2242  [abstract]
   
24. A. Mohammadian and B. Tayfeh-Rezaie (Joint with W. H. Haemers)
On the sum of Laplacian eigenvalues of graphs
Linear Algebra Appl. 432 (2010), 2214-2221  [abstract]
   
25. G. R. Omidi and B. Tayfeh-Rezaie (Joint with R. Laue)
Large sets of t-designs from t-homogeneous groups
Ars Combin. 97 (2010), 333-342  [abstract]
   
26. G. B.. Khosrovshahi and B. Tayfeh-Rezaie
Trades and t-designs
London Math. Soc. Lecture Note Ser. ( In: Surveys in combinatorics 2009)
[abstract]
   
27. F. Ramezani and B. Tayfeh-Rezaie (Joint with N. Broojerdian)
A note on the spectral characterization of θ-graphs
Linear Algebra Appl. 431 (2009), 626-632  [abstract]
   
28. G. B. Khosrovshahi and B. Tayfeh-Rezaie
Classification of simple 2-(11,3,3) designs
Discrete Math. 309 (2009), 515-520  [abstract]
   
29. H. Kharaghani and B. Tayfeh-Rezaie
On the energy of (0, 1)-matrices
Linear Algebra Appl. 429 (2008), 2046-2051  [abstract]
   
30. N. Ghareghani, F. Ramezani and B. Tayfeh-Rezaie
Graphs cospectral with starlike trees
Linear Algebra Appl. 429 (2008), 2691-2701  [abstract]
   
31. B. Tayfeh-Rezaie (Joint with W. H. Holzmann and H. Kharaghani)
Williamson matrices up to order 59
Des. Codes Cryptogr. 46 (2008), 343-352  [abstract]
   
32. M. Behbahani, G. B. Khosrovshahi and B. Tayfeh
On the spectrum of simple T(2, 3, v) trades
J. Statist. Plann. Inference 138 (2008), 2236-2242  [abstract]
   
33. W. H. Holzmann, H. Kharaghani and B. Tayfeh-Rezaie
All triples for orthogonal designs of order 40
Discrete Math. 308 (2008), 2796-2801  [abstract]
   
34. G. R. Omidi, M. R. Pournaki and B. Tayfeh-Rezaie
3-Designs with block size 6 from PSL(2,q) and their large sets
Discrete Math. 307 (2007), 1580-1588  [abstract]
   
35. N. Ghareghani, G. R. Omidi and B. Tayfeh-Rezaie
Spectral characterization of graphs with index at most √{2√5}
Linear Algebra Appl. 420 (2007), 483-489  [abstract]
   
36. G. R. Omidi and B. Tayfeh-Rezaie (Joint with R. Laue and A. Wassermann)
New large sets of t-designs with prescribed groups of automorphisms
J. Combin. Des. 15 (2007), 210-220  [abstract]
   
37. B. Tayfeh-Rezaie (Joint with S. Georgiou, W. H. Holzmann, and H. Kharaghani)
Three variable full orthogonal designs of order 56
J. Statist. Plann. Inference 137 (2007), 611-618  [abstract]
   
38. P. J. Cameron, G. R. Omidi and B. Tayfeh-Rezaie
3-designs from PGL(2,q)
The Electronic Journal of Combinatorics 13 (2006), #R50  [abstract]
   
39. B. Tayfeh-Rezaie
Yet another quick proof that K10P+ P+ P
Bull. Inst. Combin. Appl. 48 (2006), 119-120  [abstract]
   
40. P. J. Cameron, M. R. Maimani, G. R. Omidi and B. Tayfeh-Rezaie
3-Designs from PSL(2, q)
Discrete Math. 306 (2006), 3063-3073  [abstract]
   
41. G. B. Khosrovshahi and B. Tayfeh-Rezaie
Large sets of t-designs through partitionable sets: A survey
Discrete Math. 306 (2006), 2993-3004  [abstract]
   
42. G. B. Khosrovshahi, R. Laue and B. Tayfeh-Rezaie
On large sets of t-designs of size four
Bayreuth. Math. Schr. 74 (2005), 136-144  [abstract]
   
43. H. Kharaghani and B. Tayfeh-Rezaie
A Hadamard matrix of order 428
J. Combin. Des. 13 (2005), 435-440  [abstract]
   
44. B. Tayfeh-Rezaie
On the existence of large sets of t-designs of prime sizes
Des. Codes Cryptogr. 37 (2005), 143-149  [abstract]
   
45. W. H. Holzmann, H. Kharaghani, J. Seberry and B. Tayfeh-Rezaie
On orthogonal designs in order 48
J. Statist. Plann. Inference 128 (2005), 311-325  [abstract]
   
46. Z . Eslami, B. Tayfeh-Rezaie, G. B. Khosrovshahi and M. Mohammad-Noori
Some new 4-designs
Ars Combin. 73 (2004), 225-229  [abstract]
   
47. G. B. Khosrovshahi and B. Tayfeh-Rezaie
Some indecomposable t-designs
Des. Codes Cryptogr. 32 (2004), 235-238  [abstract]
   
48. H. Kharaghani and B. Tayfeh-Rezaie
Some new orthogonal designs in order 32 and 40
Discrete Math. 279 (2004), 317-324  [abstract]
   
49. B. Tayfeh-Rezaie and M. Mohammad-Noori
Backtracking Algorithm for Finding t-Designs
J. Combin. Des. 11 (2003), 240-248  [abstract]
   
50. G. B. Khosrovshahi and B. Tayfeh-Rezaie
Some results on the existence of large sets of t-designs
J. Combin. Des. 11 (2003), 144-151  [abstract]
   
51. G. B. Khosrovshahi and B. Tayfeh-Rezaie
Root cases of large sets of t-designs
Discrete Math. 263 (2003), 143-155  [abstract]
   
52. G. B. Khosrovshahi, M. Mohammad-Noori and B. Tayfeh-Rezaie
Classification of 6-(14,7,4) designs with nontrivial automorphism groups
J. Combin. Des. 10 (2002), 180-194  [abstract]
   
53. G. B. Khosrovshahi, Ch. Maysoori and B. Tayfeh-Rezaie
A note on 3-factorizations of K10
J. Combin. Des. 9 (2001), 379-383  [abstract]
   
54. Z. Eslami, G. B. Khosrovshahi and B. Tayfeh-Rezaie
On classification of 2-(8,3) and 2-(9,3) trades
J. Combin. Math. Combin. Comput. 38 (2001), 231-242  [abstract]
   
55. G. B. Khosrovshahi and B. Tayfeh-Rezaie
A new proof of a classical theorem in design theory
J. Combin. Theory Ser. A 93 (2001), 391-396  [abstract]
   
56. G. B. Khosrovshahi, R. Naserasr and B. Tayfeh-Rezaie
Ternary trades and their codes
J. Statist. Plann. Inference 95 (2001), 237-243  [abstract]
   
57. Z. Eslami, G. B. Khosrovshahi and B. Tayfeh-Rezaie
On halvings of the 2-(10,3,8) design
J. Statist. Plann. Inference 86 (2000), 411-419  [abstract]
   
58. B. Tayfeh-Rezaie and Z. Eslami
On 2-(v,3) trades of minimum volume
Australas. J. Combin. 19 (1999), 239-251  [abstract]
   
59. B. Tayfeh-Rezaie
Some infinite families of large sets of t-designs
J. Combin. Theory Ser. A 87 (1999), 239-245  [abstract]
   
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