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Chebyshevskii Sbornik, 2019, Volume 20, Issue 2, Pages 198–206
DOI: https://doi.org/10.22405/2226-8383-2018-20-2-198-206 (Mi cheb763) 		 
No strongly regular graph is locally Heawood

Aleksandar Jurišić, Janoš Vidali

Faculty of Computer Science and Informatics, University of Ljubljana, and Institute of Mathematics, Physics and Mechanics (Ljubljana, Slovenia)
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DOI: https://doi.org/10.22405/2226-8383-2018-20-2-198-206
Abstract: We investigate when a strongly regular graph is locally Heawood. We focus on a putative strongly regular graph with parameters $(v, k, \lambda, \mu) = (85, 14, 3, 2)$, which is the only candidate for such a graph. Assuming that the graph is locally Heawood, we analyze its structure, finally arriving to a contradiction, which allows us to conclude that no strongly regular graph is locally Heawood.
Keywords: strongly regular graphs, local graphs, Heawood graph.
Funding agency Grant number
Slovenian Research Agency P1-0285
J1-8130
Aleksandar Jurišić and Janoš Vidali are supported by the Slovenian Research Agency research program P1-0285. Janoš Vidali is also supported by Slovenian Research Agency project J1-8130.
Received: 27.06.2019
Accepted: 12.07.2019
Document Type: Article
UDC: 517
Language: English
Citation: Aleksandar Jurišić, Janoš Vidali, “No strongly regular graph is locally Heawood”, Chebyshevskii Sb., 20:2 (2019), 198–206
Citation in format AMSBIB
\Bibitem{JurVid19}
\by Aleksandar~Juri{\v s}i{\'c}, Jano{\v s}~Vidali
\paper No strongly regular graph is locally Heawood
\jour Chebyshevskii Sb.
\yr 2019
\vol 20
\issue 2
\pages 198--206
\mathnet{http://mi.mathnet.ru/cheb763}
\crossref{https://doi.org/10.22405/2226-8383-2018-20-2-198-206}
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