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

O. Etesami (Joint with S. Mahloujifar and M. Mahmoody),
Computational concentration of measure: Optimal bounds, reductions, and more
SODA (2020), DOI: 10.1137/1.9781611975994.21
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O. Etesami (Joint with W. H. Haemers),
On NP-hard graph properties characterized by the spectrum
Discrete Appl. Math. 285(2020), 526-529
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M. Shahsiah (Joint with M. Miralaei),
On the multicolor size Ramsey number of stars and cliques
Discrete Math. 343(2020), 111899
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R. Ahangari Maleki (Joint with L. M. Sega),
The absolutely Koszul and Backelin-Roos properties for spaces of quadrics of small codimension
J. Algebra 551(2020), 232-284
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H. R. Daneshpajouh,
Dold's theorem from viewpoint of strong compatibility graphs
European J. Combin. 85(2020), 103064
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M. Shahsiah (Joint with L. Maherani),
Turan numbers of complete 3-uniform Berge-hypergraphs
Graphs Combin. (to appear)
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O. Etesami, N. Ghareghani and P. Sharifani (Joint with M. Habib, M.R. Hooshmandasl, and R. Naserasr),
When an optimal dominating set with given constraints exists
Theoretical Computer Science 780(2019), 54-65
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G. R. Omidi (Joint with R. Javadi, F. Khoeini, and A. Pokrovskiy),
On the size-Ramsey number of cycles
Combin. Probab. Comput. 28(2019), 871-880
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M. Jazaeri (Joint with E. R. van Dam),
Distance-regular Cayley graphs with small valency
Ars Mathematica Contemporanea 17(2019), 203-222
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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. 269(2019), 159-168
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A. Mohammadian and B. Tayfeh-Rezaie,
Hadamard matrices with few distinct types
Linear Multilinear Algebra 67(2019), 1596-1605
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S. Beigi and O. Etesami (Joint with A. Bogdanov and S. Guo),
Optimal Deterministic Extractors for Generalized Santha-Vazirani Sources
Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, , , DOI: 10.4230/LIPIcs.APPROX-RANDOM.2018.30, (2018)
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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. 26(2018), 616-639
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M. Alishahi,
A generalization of Gale's lemma
J. Graph Theory 88(2018), 337-346
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