Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 1, Pages 530–533
DOI: https://doi.org/10.33048/semi.2021.18.038 (Mi semr1378) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Discrete mathematics and mathematical cybernetics

New perfect colorings of infinite circulant graphs with continuous sets of distances

V. D. Plaksinaa, P. A. Shcherbinab

a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
b Budyonny Military Academy of the Signal Corps, 3, Tikhoretsky ave., St. Petersburg, 194064, Russia
Full-text PDF (263 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.33048/semi.2021.18.038
Abstract: This paper presents series of perfect colorings of circulant graphs with continuous set of n distances, which disproves the hypothesis [2] that period of such a coloring is orbital or has length at most $2n+2$.
Keywords: perfect coloring, equitable partition, circulant graph, Cayley graph.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1675
This research is supported by Mathematical Center at Akademgorodok under agreement No. 075-15-2019-1675 with the Ministry of Science and Higher Education of the Russian Federation.
Received March 10, 2021, published May 19, 2021
Bibliographic databases:
Document Type: Article
UDC: 519.174.7
MSC: 05C15
Language: English
Citation: V. D. Plaksina, P. A. Shcherbina, “New perfect colorings of infinite circulant graphs with continuous sets of distances”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 530–533
Citation in format AMSBIB
\Bibitem{PlaShc21}
\by V.~D.~Plaksina, P.~A.~Shcherbina
\paper New perfect colorings of infinite circulant graphs with continuous sets of distances
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 1
\pages 530--533
\mathnet{http://mi.mathnet.ru/semr1378}
\crossref{https://doi.org/10.33048/semi.2021.18.038}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000674345400001}
Linking options:
  • https://www.mathnet.ru/eng/semr1378
  • https://www.mathnet.ru/eng/semr/v18/i1/p530
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:131
    Full-text PDF :66
    References:19
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024