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

M. Shahsiah (Joint with L. Maherani),
Turan numbers of complete 3-uniform Berge-hypergraphs
Graphs Combin. (to appear)
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Hamid Reza. Daneshpajouh,
On the chromatic number of generalized Kneser hypergraphs
European J. Combin. 81(2019), 150-155
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E. Ghorbani (Joint with M. Andelic and S. K. Simic),
Vertex types in threshold and chain graphs
Discrete Appl. Math. (to appear)
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R. Javadi (Joint with X. Niu and H. Cao),
The spectrum for large sets of $(3,\lambda$)-GDDs of type $g^{u}$
J. Combin. Des. (to appear)
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M. Alishahi,
A generalization of Gale's lemma
J. Graph Theory 88(2018), 337-346
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M. Alishahi,
On the random version of the Erdos matching conjecture
Discrete Appl. Math. (to appear)
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M. R. Oboudi,
Majorization and the spectral radius of starlike trees
J. Comb. Optim. 36(2018), 121-129
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M. R. Oboudi,
Some results on the independence polynomial of unicycle graphs
Discussiones Mathematicae Graph Theory 38(2018), 515-524
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A. Abdollahi (Joint with F. Jafari),
Zero divisor and unit elements with supports of size 4 in group algebras of torsion-free groups
Comm. Algebra (to appear)
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G.R. Omidi,
On a Question of Erdos and Faudree on the size Ramsey Numbers
SIAM J. Discrete Math. (to appear)
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A. Davoodi (Joint with E. Gyori and A. Methuku),
An Erd\H{o}s-Gallai type theorem for uniform hypergraphs
European J. Combin. 69(2018), 159-162
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A. Mohammadian and B. Tayfeh-Rezaie,
Hadamard matrices with few distinct types
Linear Multilinear Algebra (to appear)
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M. R. Oboudi,
On the eigenvalues and spectral radius of starlike trees
Aequat. Math. (2018), DOI: 10.1007/s00010-017-0533-4
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A. Mohammadian and B. Tayfeh-Rezaie,
Star saturation number of random graphs
Discrete Math. 341(2018), 1166-1170
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G. R. Omidi and M. Shahsiah,
Ramsey numbers of 4-uniform loose cycles
Discrete Appl. Math. 230(2017), 112-120
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