Mutually orthogonal Latin squares (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Mutually orthogonal Latin squares" in English language version.

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10ams.org

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5archive.org

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3books.google.com

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3harvard.edu

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3nih.gov

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2arxiv.org

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2anu.edu.au

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1stanford.edu

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1maa.org

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1livescience.com

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ams.org

mathscinet.ams.org

This has gone under several names in the literature, formule directrix (Euler), directrix, 1-permutation, and diagonal amongst others. (Dénes & Keedwell 1974, p. 29) Dénes, J.; Keedwell, A. D. (1974), Latin squares and their applications, New York-London: Academic Press, p. 547, ISBN 0-12-209350-X, MR 0351850
Dénes & Keedwell 1974, p. 155 Dénes, J.; Keedwell, A. D. (1974), Latin squares and their applications, New York-London: Academic Press, p. 547, ISBN 0-12-209350-X, MR 0351850
Dénes & Keedwell 1974, p. 156 Dénes, J.; Keedwell, A. D. (1974), Latin squares and their applications, New York-London: Academic Press, p. 547, ISBN 0-12-209350-X, MR 0351850
Bose, R. C.; Shrikhande, S. S.; Parker, E. T. (1960), "Further results on the construction of mutually orthogonal Latin squares and the falsity of Euler's conjecture", Canadian Journal of Mathematics, 12: 189–203, doi:10.4153/CJM-1960-016-5, MR 0122729
Dénes & Keedwell 1974, p. 159 Dénes, J.; Keedwell, A. D. (1974), Latin squares and their applications, New York-London: Academic Press, p. 547, ISBN 0-12-209350-X, MR 0351850
Dénes & Keedwell 1974, p. 158 Dénes, J.; Keedwell, A. D. (1974), Latin squares and their applications, New York-London: Academic Press, p. 547, ISBN 0-12-209350-X, MR 0351850
Dénes & Keedwell 1974, p. 390 Dénes, J.; Keedwell, A. D. (1974), Latin squares and their applications, New York-London: Academic Press, p. 547, ISBN 0-12-209350-X, MR 0351850
Dénes & Keedwell 1974, p. 167 Dénes, J.; Keedwell, A. D. (1974), Latin squares and their applications, New York-London: Academic Press, p. 547, ISBN 0-12-209350-X, MR 0351850
Dénes & Keedwell 1974, p. 169 Dénes, J.; Keedwell, A. D. (1974), Latin squares and their applications, New York-London: Academic Press, p. 547, ISBN 0-12-209350-X, MR 0351850
Dénes & Keedwell 1974, p. 270 Dénes, J.; Keedwell, A. D. (1974), Latin squares and their applications, New York-London: Academic Press, p. 547, ISBN 0-12-209350-X, MR 0351850

anu.edu.au

cs.anu.edu.au

McKay, Meynert & Myrvold 2007, p. 98 McKay, Brendan D.; Meynert, Alison; Myrvold, Wendy (2007), "Small Latin Squares, Quasigroups and Loops" (PDF), Journal of Combinatorial Designs, 15 (2): 98–119, doi:10.1002/jcd.20105, S2CID 82321|doi-broken-date=2020-10-03| zbl=1112.05018 | citeseerx=10.1.1.151.3043}}
McKay, Meynert & Myrvold 2007, p. 102 McKay, Brendan D.; Meynert, Alison; Myrvold, Wendy (2007), "Small Latin Squares, Quasigroups and Loops" (PDF), Journal of Combinatorial Designs, 15 (2): 98–119, doi:10.1002/jcd.20105, S2CID 82321|doi-broken-date=2020-10-03| zbl=1112.05018 | citeseerx=10.1.1.151.3043}}

archive.org

Ozanam, Jacques (1725), Recreation mathematiques et physiques, vol. IV, p. 434, the solution is in Fig. 35
Colbourn & Dinitz 2007, p. 162 Colbourn, Charles J.; Dinitz, Jeffrey H. (2007), Handbook of Combinatorial Designs (2nd ed.), Boca Raton: Chapman & Hall/ CRC, ISBN 978-1-58488-506-1
Colbourn & Dinitz 2007, p. 160 Colbourn, Charles J.; Dinitz, Jeffrey H. (2007), Handbook of Combinatorial Designs (2nd ed.), Boca Raton: Chapman & Hall/ CRC, ISBN 978-1-58488-506-1
Colbourn & Dinitz 2007, p. 163 Colbourn, Charles J.; Dinitz, Jeffrey H. (2007), Handbook of Combinatorial Designs (2nd ed.), Boca Raton: Chapman & Hall/ CRC, ISBN 978-1-58488-506-1
Colbourn & Dinitz 2007, p. 161 Colbourn, Charles J.; Dinitz, Jeffrey H. (2007), Handbook of Combinatorial Designs (2nd ed.), Boca Raton: Chapman & Hall/ CRC, ISBN 978-1-58488-506-1

arxiv.org

Rather, Suhail Ahmad; Burchardt, Adam; Bruzda, Wojciech; Rajchel-Mieldzioć, Grzegorz; Lakshminarayan, Arul; Życzkowski, Karol (2022), "Thirty-six entangled officers of Euler: Quantum solution to a classically impossible problem", Physical Review Letters, 128 (8): 080507, arXiv:2104.05122, Bibcode:2022PhRvL.128h0507R, doi:10.1103/PhysRevLett.128.080507, PMID 35275648, S2CID 236950798
Goyeneche, Dardo; Raissi, Zahra; Di Martino, Sara; Życzkowski, Karol (2018), "Entanglement and quantum combinatorial designs", Physical Review A, 97 (6): 062326, arXiv:1708.05946, Bibcode:2018PhRvA..97f2326G, doi:10.1103/PhysRevA.97.062326, S2CID 51532085

books.google.com

Knuth, Donald (2011), The Art of Computer Programming, vol. 4A: Combinatorial Algorithms Part 1, Addison-Wesley, pp. xv+883pp, ISBN 978-0-201-03804-0. Errata: [1]
Ozanam, Jacques (1725), Recreation mathematiques et physiques, vol. IV, p. 434, the solution is in Fig. 35
P. A. MacMahon (1902). "Magic Squares and Other Problems on a Chess Board". Proceedings of the Royal Institution of Great Britain. XVII: 50–63.

cambridge.org

Lenz, H.; Jungnickel, D.; Beth, Thomas (November 1999). Design Theory by Thomas Beth. Cambridge Core. doi:10.1017/cbo9781139507660. ISBN 9780521772310. Retrieved 2019-07-06.

doi.org

Bose, R. C.; Shrikhande, S. S. (1959), "On the falsity of Euler's conjecture about the non-existence of two orthogonal Latin squares of order 4t + 2", Proceedings of the National Academy of Sciences USA, 45 (5): 734–737, Bibcode:1959PNAS...45..734B, doi:10.1073/pnas.45.5.734, PMC 222625, PMID 16590435
Bose, R. C.; Shrikhande, S. S.; Parker, E. T. (1960), "Further results on the construction of mutually orthogonal Latin squares and the falsity of Euler's conjecture", Canadian Journal of Mathematics, 12: 189–203, doi:10.4153/CJM-1960-016-5, MR 0122729
Rather, Suhail Ahmad; Burchardt, Adam; Bruzda, Wojciech; Rajchel-Mieldzioć, Grzegorz; Lakshminarayan, Arul; Życzkowski, Karol (2022), "Thirty-six entangled officers of Euler: Quantum solution to a classically impossible problem", Physical Review Letters, 128 (8): 080507, arXiv:2104.05122, Bibcode:2022PhRvL.128h0507R, doi:10.1103/PhysRevLett.128.080507, PMID 35275648, S2CID 236950798
Goyeneche, Dardo; Raissi, Zahra; Di Martino, Sara; Życzkowski, Karol (2018), "Entanglement and quantum combinatorial designs", Physical Review A, 97 (6): 062326, arXiv:1708.05946, Bibcode:2018PhRvA..97f2326G, doi:10.1103/PhysRevA.97.062326, S2CID 51532085
McKay, Meynert & Myrvold 2007, p. 98 McKay, Brendan D.; Meynert, Alison; Myrvold, Wendy (2007), "Small Latin Squares, Quasigroups and Loops" (PDF), Journal of Combinatorial Designs, 15 (2): 98–119, doi:10.1002/jcd.20105, S2CID 82321|doi-broken-date=2020-10-03| zbl=1112.05018 | citeseerx=10.1.1.151.3043}}
Bruck, R.H.; Ryser, H.J. (1949), "The nonexistence of certain finite projective planes", Canadian Journal of Mathematics, 1: 88–93, doi:10.4153/cjm-1949-009-2, S2CID 123440808
Lam, C. W. H. (1991), "The Search for a Finite Projective Plane of Order 10", American Mathematical Monthly, 98 (4): 305–318, doi:10.2307/2323798, JSTOR 2323798
McKay, Meynert & Myrvold 2007, p. 102 McKay, Brendan D.; Meynert, Alison; Myrvold, Wendy (2007), "Small Latin Squares, Quasigroups and Loops" (PDF), Journal of Combinatorial Designs, 15 (2): 98–119, doi:10.1002/jcd.20105, S2CID 82321|doi-broken-date=2020-10-03| zbl=1112.05018 | citeseerx=10.1.1.151.3043}}
Lenz, H.; Jungnickel, D.; Beth, Thomas (November 1999). Design Theory by Thomas Beth. Cambridge Core. doi:10.1017/cbo9781139507660. ISBN 9780521772310. Retrieved 2019-07-06.

harvard.edu

ui.adsabs.harvard.edu

Bose, R. C.; Shrikhande, S. S. (1959), "On the falsity of Euler's conjecture about the non-existence of two orthogonal Latin squares of order 4t + 2", Proceedings of the National Academy of Sciences USA, 45 (5): 734–737, Bibcode:1959PNAS...45..734B, doi:10.1073/pnas.45.5.734, PMC 222625, PMID 16590435
Rather, Suhail Ahmad; Burchardt, Adam; Bruzda, Wojciech; Rajchel-Mieldzioć, Grzegorz; Lakshminarayan, Arul; Życzkowski, Karol (2022), "Thirty-six entangled officers of Euler: Quantum solution to a classically impossible problem", Physical Review Letters, 128 (8): 080507, arXiv:2104.05122, Bibcode:2022PhRvL.128h0507R, doi:10.1103/PhysRevLett.128.080507, PMID 35275648, S2CID 236950798
Goyeneche, Dardo; Raissi, Zahra; Di Martino, Sara; Życzkowski, Karol (2018), "Entanglement and quantum combinatorial designs", Physical Review A, 97 (6): 062326, arXiv:1708.05946, Bibcode:2018PhRvA..97f2326G, doi:10.1103/PhysRevA.97.062326, S2CID 51532085

jstor.org

Lam, C. W. H. (1991), "The Search for a Finite Projective Plane of Order 10", American Mathematical Monthly, 98 (4): 305–318, doi:10.2307/2323798, JSTOR 2323798

livescience.com

Pappas, Stephanie (2022), "Centuries-old 'impossible' math problem cracked using the strange physics of Schrödinger's cat", LiveScience

maa.org

eulerarchive.maa.org

Euler: Recherches sur une nouvelle espece de quarres magiques, written in 1779, published in 1782

nih.gov

pubmed.ncbi.nlm.nih.gov

Bose, R. C.; Shrikhande, S. S. (1959), "On the falsity of Euler's conjecture about the non-existence of two orthogonal Latin squares of order 4t + 2", Proceedings of the National Academy of Sciences USA, 45 (5): 734–737, Bibcode:1959PNAS...45..734B, doi:10.1073/pnas.45.5.734, PMC 222625, PMID 16590435
Rather, Suhail Ahmad; Burchardt, Adam; Bruzda, Wojciech; Rajchel-Mieldzioć, Grzegorz; Lakshminarayan, Arul; Życzkowski, Karol (2022), "Thirty-six entangled officers of Euler: Quantum solution to a classically impossible problem", Physical Review Letters, 128 (8): 080507, arXiv:2104.05122, Bibcode:2022PhRvL.128h0507R, doi:10.1103/PhysRevLett.128.080507, PMID 35275648, S2CID 236950798

ncbi.nlm.nih.gov

Bose, R. C.; Shrikhande, S. S. (1959), "On the falsity of Euler's conjecture about the non-existence of two orthogonal Latin squares of order 4t + 2", Proceedings of the National Academy of Sciences USA, 45 (5): 734–737, Bibcode:1959PNAS...45..734B, doi:10.1073/pnas.45.5.734, PMC 222625, PMID 16590435

pacific.edu

scholarlycommons.pacific.edu

Euler: Recherches sur une nouvelle espece de quarres magiques, written in 1779, published in 1782

quantamagazine.org

Garisto, Dan (2022), "Euler's 243-Year-Old 'Impossible' Puzzle Gets a Quantum Solution", Quanta Magazine

semanticscholar.org

api.semanticscholar.org

Rather, Suhail Ahmad; Burchardt, Adam; Bruzda, Wojciech; Rajchel-Mieldzioć, Grzegorz; Lakshminarayan, Arul; Życzkowski, Karol (2022), "Thirty-six entangled officers of Euler: Quantum solution to a classically impossible problem", Physical Review Letters, 128 (8): 080507, arXiv:2104.05122, Bibcode:2022PhRvL.128h0507R, doi:10.1103/PhysRevLett.128.080507, PMID 35275648, S2CID 236950798
Goyeneche, Dardo; Raissi, Zahra; Di Martino, Sara; Życzkowski, Karol (2018), "Entanglement and quantum combinatorial designs", Physical Review A, 97 (6): 062326, arXiv:1708.05946, Bibcode:2018PhRvA..97f2326G, doi:10.1103/PhysRevA.97.062326, S2CID 51532085
McKay, Meynert & Myrvold 2007, p. 98 McKay, Brendan D.; Meynert, Alison; Myrvold, Wendy (2007), "Small Latin Squares, Quasigroups and Loops" (PDF), Journal of Combinatorial Designs, 15 (2): 98–119, doi:10.1002/jcd.20105, S2CID 82321|doi-broken-date=2020-10-03| zbl=1112.05018 | citeseerx=10.1.1.151.3043}}
Bruck, R.H.; Ryser, H.J. (1949), "The nonexistence of certain finite projective planes", Canadian Journal of Mathematics, 1: 88–93, doi:10.4153/cjm-1949-009-2, S2CID 123440808
McKay, Meynert & Myrvold 2007, p. 102 McKay, Brendan D.; Meynert, Alison; Myrvold, Wendy (2007), "Small Latin Squares, Quasigroups and Loops" (PDF), Journal of Combinatorial Designs, 15 (2): 98–119, doi:10.1002/jcd.20105, S2CID 82321|doi-broken-date=2020-10-03| zbl=1112.05018 | citeseerx=10.1.1.151.3043}}

sfu.ca

cecm.sfu.ca

Lam, C. W. H. (1991), "The Search for a Finite Projective Plane of Order 10", American Mathematical Monthly, 98 (4): 305–318, doi:10.2307/2323798, JSTOR 2323798

stanford.edu

cs.stanford.edu

Knuth, Donald (2011), The Art of Computer Programming, vol. 4A: Combinatorial Algorithms Part 1, Addison-Wesley, pp. xv+883pp, ISBN 978-0-201-03804-0. Errata: [1]