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Список литературы
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S.V. Avgustinovich, I.Yu. Mogil'nykh, “Perfect colorings of the Johnson graphs J(8,3) and J(8,4) with two colors”, Journal of Applied and Industrial Mathematics, 5:1 (2011), 19–30. DOI 10.1134/S1990478911010030, translated from Diskretnyi Analiz i Issledovanie Operatsii |
3. |
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T. Bier, P. Delsarte, “Some bounds for the distribution numbers of an association scheme”, European Journal of Combinatorics, 9:1 (1988), 1–5 |
5. |
T. Bier, “Some distribution numbers of the triangular association scheme”, European Journal of Combinatorics, 9:1 (1988), 19–22 |
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A.E. Brouwer, A.M. Cohen, A. Neumaier, “Distance-regular graphs”, Results in Mathematics and Related Areas (3), Springer-Verlag, Berlin, 1989 |
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D.M. Cvetkovic, M. Doob, H. Sachs, Spectra of graphs, Academic Press, New York–London, 1980 |
8. |
P. Delsarte, “An Algebraic Approach to the Association Schemes of Coding Theory”, Philips Res. Rep. Suppl., 1973, no. 10 |
9. |
A.L. Gavrilyuk, S.V. Goryainov, “On perfect 2-colorings of Johnson graphs J(v,3)”, Journal of Combinatorial Designs, 21:6 (2013), 232–252 |
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C. Godsil, C. Praeger, Completely transitive designs, 1405.2176 [math.CO], 2014 |
11. |
D.S. Krotov, I.Yu. Mogilnykh, V.N. Potapov, “To the theory of q-ary Steiner and other-type trades”, Discrete Mathematics, 339:3 (2016), 1150–1157 |
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N. Manickam, D. Miklós, “On the number of non-negative partial sums of a non-negative sum”, Proc. 7th Hung. Colloq. (Eger/Hung. 1987), Colloq. Math. Soc. János Bolyai, 52, 1988, 385–392 |
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N. Manickam, N. M. Singhi, “First distribution invariants and EKR theorems”, Journal of Combinatorial Theory, Series A, 48:1 (1988), 91–103 |
14. |
W.J. Martin, “Completely regular designs of strength one”, Journal of Algebraic Combinatorics, 3:2 (1994), 177–185 |
15. |
A. Pokrovskiy, “A linear bound on the Manickam-Miklós-Singhi conjecture”, Journal of Combinatorial Theory, Series A, 133 (2015), 280–306 |
16. |
K. Vorob'ev, I. Mogilnykh, A. Valyuzhenich, “Minimum supports of eigenfunctions of Johnson graphs”, Discrete Mathematics, 341:8 (2018), 2151–2158 |