سمت در پژوهشگاه

هیئت علمی، پژوهشکده ریاضیات (1394 تا اکنون (from May 6, 2015))

سمت‌های پیشین در پژوهشگاه

دانشیار، پژوهشکده ریاضیات (1386 تا 1394) پسا دکتری، پژوهشکده ریاضیات (1379 تا 1386)

علایق پژوهشی

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.

فعالیت‌های پژوهشی

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.

پروژهٔ پژوهشی فعلی در پژوهشگاه

Combinatorics-Design Theory

مقالات

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]

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