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August 10, 2021 19:10–19:30, Группы и графы, Sochi
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On $WL$-rank and $WL$-dimension of some circulant Deza graphs
R. R. Bildanov
Novosibirsk State University
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References
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W. Bridges, R. Mena, “Rational circulants with rational spectra and cyclic strongly regular graphs”, Ars Combin., 8 (1979), 143–161
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M. Erickson, S. Fernando, W. Haemers, D. Hardy, J. Hemmeter, “Deza graphs: a generalization of strongly regular graphs”, J. Comb. Designs, 7 (1999), 359–405
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A. Gavrilyuk, S. Goryainov, L. Shalaginov, Proceedings of G2A2-conference, Ekaterinburg, 2015 http://g2a2.imm.uran.ru/slides/plenary_talks/Goryainov.pdf
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S. Goryainov, L. Shalaginov, “Cayley-Deza graphs with less than $60$ vertices”, Sib. Elect. Math. Rep., 11 (2014), 268–310
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M. Gröhe,, Descriptive complexity, canonisation, and definable graph structure theory, Cambridge University Press, Cambridge, 2017
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D. Hughes, J. van Lint, R. Wilson, 1979 (Announcement at the Seventh British Combinatorial Conference Cambridge (unpublished))
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S. Ma, “Partial difference sets”, Discrete Math., 52 (1984), 75–89
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R. Bildanov, V. Panshin, G. Ryabov, On WL-rank and WL-dimension of some Deza circulant graphs, arXiv: 2012.13898
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