There Is No Strongly Regular Graph with Parameters (460, 153, 32, 60)

Andriy Bondarenko, Anton Mellit, Andriy Prymak, Danylo Radchenko and Maryna Viazovska
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Andriy Bondarenko: Norwegian University of Science and Technology, Department of Mathematical Sciences
Anton Mellit: IST Austria
Andriy Prymak: University of Manitoba, Department of Mathematics
Danylo Radchenko: International Centre for Theoretical Physics
Maryna Viazovska: Berlin Mathematical School, Humboldt University of Berlin

A chapter in Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan, 2018, pp 131-134 from Springer

Abstract: Abstract We prove that there is no strongly regular graph (SRG) with parameters (460, 153, 32, 60). The proof is based on a recent lower bound on the number of 4-cliques in a SRG and some applications of Euclidean representation of SRGs.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-72456-0_7

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DOI: 10.1007/978-3-319-72456-0_7

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