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

In: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan

Author

Listed:
  • 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)

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.

Suggested Citation

  • Andriy Bondarenko & Anton Mellit & Andriy Prymak & Danylo Radchenko & Maryna Viazovska, 2018. "There Is No Strongly Regular Graph with Parameters (460, 153, 32, 60)," Springer Books, in: Josef Dick & Frances Y. Kuo & Henryk Woźniakowski (ed.), Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan, pages 131-134, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-72456-0_7
    DOI: 10.1007/978-3-319-72456-0_7
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