A Combinatorial Object
Magic Square of Order 25
Description: Magic squares are numerical arrays that have
substructures with constant sums. This above design is based on a magic square of order 25, containing the
numbers from 0 to 624. Each row, column, and main diagonal sums to the "magic constant" of 7800.
The numbers in the magic square are represented by a visual base-5 system: four concentric squares
serve as the 1, 5, 25, and 125 places, while shades of grey stand for the numerals 0 to 4.
Publications

H. Hajiabolhassan (Joint with M. Alishahi),
Chromatic number of random kneser hypergraphs
J. Combin. Theory Ser. A (to appear)
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M. R. Oboudi,
On the difference between the spectral radius and the maximum degree of graphs
Algebra Discrete Math. (to appear)
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A. Mohammadian and B. Tayfeh-Rezaie,
Star saturation number of random graphs
Discrete Math. (to appear)
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G.R. Omidi and M. Shahsiah,
Diagonal Ramsey numbers of loose cycles in uniform hypergraphs
SIAM J. Discrete Math. (to appear)
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G. R. Omidi (Joint with L. Maherani),
Monochromatic Hamiltonian Berge-cycles in colored hypergraphs
Discrete Math. (to appear)
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A. Abdollahi (Joint with Sh. Janbaz and M. Ghahramani),
A large family of cospectral cayley graphs over dihedral groups
Discrete Math. (to appear)
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M. R. Oboudi,
Energy and Seidel energy of graphs
MATCH Communications in Mathematical and in Computer Chemistry 75(2016), 291-303
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M. R. Oboudi,
On the third largest eigenvalue of graphs
Linear Algebra Appl. 503(2016), 164-179
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M. R. Oboudi,
Cospectrality of complete bipartite graphs
Linear Multilinear Algebra (2016), DOI: 10.1080/03081087.2016.1162133
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M. R. Oboudi,
Bipartite graphs with at most six non-zero eigenvalues
Ars Mathematica Contemporanea 11(2016), 315-325
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A. Abdollahi and M. Jazaeri (Joint with E. R. van Dam),
Distance-regular graphs with least eigenvalue-2
Des. Codes Cryptogr. (2016), DOI: 10.1007/s10623-016-0209-4
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E. Ghorbani,
Proof of a conjecture on `plateaux' phenomenon of graph Laplacian eigenvalues
Linear Algebra Appl. 506(2016), 274-278
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E. Ghorbani,
Nontrivial nuciferous graphs exist
Ars Mathematica Contemporanea 11(2016), 391-395
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E. Ghorbani,
On eigenvalues of Seidel matrices and Haemers' conjecture
Des. Codes Cryptogr. (2016), DOI: 10.1007/s10623-016-0248-x
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S. Saeedi Madani and D. Kiani,
Cohen-Macaulay and Gorenstein path ideals of trees
Algebra Colloq. 23(2016), 469-480
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