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Modularity of Some Distance Graphs

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Abstract

New bounds on the modularity of distance graphs were obtained and the exact value of modularity was calculated for G(n, 2, 1) graphs.

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Funding

This work was supported by the Russian Foundation for Basic Research (project no. 18-01-00355) and by the Russian Federation President Grant (project no. NSh-6760.2018.1).

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, 119991, Moscow, Russia

    M. M. Ipatov, M. M. Koshelev & A. M. Raigorodskii

  2. Moscow Institute of Physics and Technology (State University), 141700, Dolgoprudnyi, Moscow oblast, Russia

    A. M. Raigorodskii

  3. Caucasus Mathematical Center, Adyghe State University, 385000, Maykop, Republic of Adygea, Russia

    A. M. Raigorodskii

  4. Institute of Mathematics and Computer Science, Buryat State University, 670000, Ulan-Ude, Buryat Republic, Russia

    A. M. Raigorodskii

Authors
  1. M. M. Ipatov
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  2. M. M. Koshelev
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  3. A. M. Raigorodskii
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Corresponding authors

Correspondence to M. M. Koshelev or A. M. Raigorodskii.

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Translated by I. Ruzanova

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Ipatov, M.M., Koshelev, M.M. & Raigorodskii, A.M. Modularity of Some Distance Graphs. Dokl. Math. 101, 60–61 (2020). https://doi.org/10.1134/S1064562420010147

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  • DOI: https://doi.org/10.1134/S1064562420010147

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