Trudy Instituta Matematiki i Mekhaniki UrO RAN
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


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 1, Pages 220–230 (Mi timm1273)  
This article is cited in 2 scientific papers (total in 2 papers)

Small $AT4$-graphs and strongly regular subgraphs corresponding to them

A. A. Makhnevab, D. V. Paduchikhb

a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (189 kB) Citations (2)
References:
PDF
HTML
Abstract: Let $\mathcal M$ be the class of strongly regular graphs for which $\mu$ is a nonprincipal eigenvalue. Note that the neighborhood of any vertex of an $AT4$-graph lies in $\mathcal M$. Parameters of graphs from $\mathcal M$ were described earlier. We find intersection arrays of small $AT4$-graphs and of strongly regular graphs corresponding to them.
Keywords: strongly regular graph, $AT4$-graph, locally $\mathcal M$-graphs.
Funding agency Grant number
Russian Science Foundation 14-11-00061
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
Received: 14.05.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 296, Issue 1, Pages 164–174
DOI: https://doi.org/10.1134/S0081543817020158
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: A. A. Makhnev, D. V. Paduchikh, “Small $AT4$-graphs and strongly regular subgraphs corresponding to them”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 1, 2016, 220–230; Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 164–174
Citation in format AMSBIB
\Bibitem{MakPad16}
\by A.~A.~Makhnev, D.~V.~Paduchikh
\paper Small $AT4$-graphs and strongly regular subgraphs corresponding to them
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 1
\pages 220--230
\mathnet{http://mi.mathnet.ru/timm1273}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3497197}
\elib{https://elibrary.ru/item.asp?id=25655610}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2017
\vol 296
\issue , suppl. 1
\pages 164--174
\crossref{https://doi.org/10.1134/S0081543817020158}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000403678000015}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85018762625}
Linking options:
  • https://www.mathnet.ru/eng/timm1273
  • https://www.mathnet.ru/eng/timm/v22/i1/p220
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:225
    Full-text PDF :64
    References:59
    First page:21
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024