
Sib. Èlektron. Mat. Izv., 2013, Volume 10, Pages 22–30
(Mi semr390)




This article is cited in 1 scientific paper (total in 1 paper)
Mathematical logic, algebra and number theory
Edgesymmetric strongly regular graphs with at most 100 vertices
M. S. Nirova^{} ^{} Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Abstract:
Makhnev A.A. and Nirova M.S. remark that from 30 collections of parameters of unknown strongly regular graphs with at most 100 vertices only 11 can respond to edgesymmetric graphs. In this paper it is investigated the possible orders and the structures of subgraphs of the fixed points of automorphisms of strongly regular graph with parameters (100,33,8,12). It is proved that strongly regular graphs with parameters (100,33,8,12) and (100,66,44,42) are not edgesymmetric. As a corollary we have that a new edgesymmetric strongly regular graph with at most 100 vertices does not exist.
Keywords:
strongly regular graph, edgesymmetric graph.
Full text:
PDF file (494 kB)
References:
PDF file
HTML file
UDC:
519.17+512.54
MSC: 05C25 Received December 15, 2012, published January 3, 2013
Citation:
M. S. Nirova, “Edgesymmetric strongly regular graphs with at most 100 vertices”, Sib. Èlektron. Mat. Izv., 10 (2013), 22–30
Citation in format AMSBIB
\Bibitem{Nir13}
\by M.~S.~Nirova
\paper Edgesymmetric strongly regular graphs with at most 100 vertices
\jour Sib. \`Elektron. Mat. Izv.
\yr 2013
\vol 10
\pages 2230
\mathnet{http://mi.mathnet.ru/semr390}
Linking options:
http://mi.mathnet.ru/eng/semr390 http://mi.mathnet.ru/eng/semr/v10/p22
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:

K. S. Efimov, A. A. Makhnev, “Automorphisms of a distanceregular graph with intersection array $\{100,66,1;1,33,100\}$”, Sib. elektron. matem. izv., 12 (2015), 795–801

Number of views: 
This page:  210  Full text:  50  References:  35 
