IPM Positions

Faculty Member , 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.	M. R. Bidgoli and B. Tayfeh-Rezaie (Joint with A. Mohammadian) Percolating sets in bootstrap percolation on the Hamming graphs and triangular graphs European J. Combin. 92 (2021), 16pp  [abstract]

2.	M. R. Bidgoli and B. Tayfeh-Rezaie (Joint with A. Mohammadian) On K2,t-bootstrap percolation Graphs Combin. (Accepted) [abstract]

3.	B. Tayfeh-Rezaie (Joint with H. Kharaghani and Sh. Suda) Disjoint weighing matrices J. Algebraic Combin. (Accepted) [abstract]

4.	B. Tayfeh-Rezaie (Joint with A. Hanaki, H. Kharaghani, and A. Mohammadian) Classification of skew-Hadamard matrices of order 32 and association schemes of order 31 J. Combin. Des. 28 (2020), 421-427  [abstract]

5.	A. Mohammadian and B. Tayfeh-Rezaie Hadamard matrices with few distinct types Linear Multilinear Algebra 67 (2019), 1596-1605  [abstract]

6.	A. Mohammadian and B. Tayfeh-Rezaie Star saturation number of random graphs Discrete Math. 341 (2018), 1166-1170  [abstract]

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

8.	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]

9.	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]

10.	B. Tayfeh-Rezaie (Joint with B. Mohar) Median eigenvalues of bipartite graphs J. Algebraic Combin. 41 (2015), 899-909  [abstract]

11.	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]

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

13.	A. Mohammadian and B. Tayfeh-Rezaie On a family of diamond-free strongly regular graphs SIAM J. Discrete Math. 28 (2014), 1906-1915  [abstract]

14.	F. Ashraf and B. Tayfeh-Rezaie Nordhaus-Gaddum type inequalities for Laplacian and signless Laplacian eigenvalues Electron. J. Combin. 21 (2014), #P3.6  [abstract]

15.	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]

16.	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]

17.	B. Tayfeh-Rezaie (Joint with H. Kharaghani) Hadamard matrices of order 32 J. Combin. Des. 21 (2013), 212-221  [abstract]

18.	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]

19.	F. Ramezani and B. Tayfeh-Rezaie Spectral characterization of some cubic graphs Graphs Combin. 28 (2012), 869-876  [abstract]

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

21.	A. Mohammadian and B. Tayfeh-Rezaie Graphs with four distinct Laplacian eigenvalues J. Algebraic Combin. 34 (2011), 671-682  [abstract]

22.	A. Mohammadian and B. Tayfeh-Rezaie Some constructions of integral graphs Linear Multilinear Algebra 59 (2011), 1269-1279  [abstract]

23.	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]

24.	A. Mohammadian and B. Tayfeh-Rezaie The spectrum of the McKay-Miller-Siran graphs Contemp. Math. 531 (2010), 197-199  [abstract]

25.	A. Mohammadian and B. Tayfeh-Rezaie A short proof of a theorem of Bang and Koolen European J. Combin. 31 (2010), 1461-1463  [abstract]

26.	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]

27.	B. Tayfeh-Rezaie (Joint with P. Rowlinson) Star complements in regular graphs: old and new results Linear Algebra Appl. 432 (2010), 2230-2242  [abstract]

28.	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]

29.	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]

30.	G. B.. Khosrovshahi and B. Tayfeh-Rezaie Trades and t-designs London Math. Soc. Lecture Note Ser. ( In: Surveys in combinatorics 2009) [abstract]

31.	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]

32.	G. B. Khosrovshahi and B. Tayfeh-Rezaie Classification of simple 2-(11,3,3) designs Discrete Math. 309 (2009), 515-520  [abstract]

33.	H. Kharaghani and B. Tayfeh-Rezaie On the energy of (0, 1)-matrices Linear Algebra Appl. 429 (2008), 2046-2051  [abstract]

34.	N. Ghareghani, F. Ramezani and B. Tayfeh-Rezaie Graphs cospectral with starlike trees Linear Algebra Appl. 429 (2008), 2691-2701  [abstract]

35.	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]

36.	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]

37.	W. H. Holzmann, H. Kharaghani and B. Tayfeh-Rezaie All triples for orthogonal designs of order 40 Discrete Math. 308 (2008), 2796-2801  [abstract]

38.	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]

39.	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]

40.	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]

41.	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]

42.	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]

43.	B. Tayfeh-Rezaie Yet another quick proof that K10 ≠ P+ P+ P Bull. Inst. Combin. Appl. 48 (2006), 119-120  [abstract]

44.	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]

45.	G. B. Khosrovshahi and B. Tayfeh-Rezaie Large sets of t-designs through partitionable sets: A survey Discrete Math. 306 (2006), 2993-3004  [abstract]

46.	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]

47.	H. Kharaghani and B. Tayfeh-Rezaie A Hadamard matrix of order 428 J. Combin. Des. 13 (2005), 435-440  [abstract]

48.	B. Tayfeh-Rezaie On the existence of large sets of t-designs of prime sizes Des. Codes Cryptogr. 37 (2005), 143-149  [abstract]

49.	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]

50.	Z . Eslami, B. Tayfeh-Rezaie, G. B. Khosrovshahi and M. Mohammad-Noori Some new 4-designs Ars Combin. 73 (2004), 225-229  [abstract]

51.	G. B. Khosrovshahi and B. Tayfeh-Rezaie Some indecomposable t-designs Des. Codes Cryptogr. 32 (2004), 235-238  [abstract]

52.	H. Kharaghani and B. Tayfeh-Rezaie Some new orthogonal designs in order 32 and 40 Discrete Math. 279 (2004), 317-324  [abstract]

53.	B. Tayfeh-Rezaie and M. Mohammad-Noori Backtracking Algorithm for Finding t-Designs J. Combin. Des. 11 (2003), 240-248  [abstract]

54.	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]

55.	G. B. Khosrovshahi and B. Tayfeh-Rezaie Root cases of large sets of t-designs Discrete Math. 263 (2003), 143-155  [abstract]

56.	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]

57.	G. B. Khosrovshahi, Ch. Maysoori and B. Tayfeh-Rezaie A note on 3-factorizations of K10 J. Combin. Des. 9 (2001), 379-383  [abstract]

58.	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]

59.	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]

60.	G. B. Khosrovshahi, R. Naserasr and B. Tayfeh-Rezaie Ternary trades and their codes J. Statist. Plann. Inference 95 (2001), 237-243  [abstract]

61.	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]

62.	B. Tayfeh-Rezaie and Z. Eslami On 2-(v,3) trades of minimum volume Australas. J. Combin. 19 (1999), 239-251  [abstract]

63.	B. Tayfeh-Rezaie Some infinite families of large sets of t-designs J. Combin. Theory Ser. A 87 (1999), 239-245  [abstract]