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Symmetry 2018, 10(6), 212; https://doi.org/10.3390/sym10060212

Enumeration of Strongly Regular Graphs on up to 50 Vertices Having S3 as an Automorphism Group

Department of Mathematics, University of Rijeka, Rijeka 51000, Croatia
Received: 17 May 2018 / Revised: 4 June 2018 / Accepted: 8 June 2018 / Published: 11 June 2018
(This article belongs to the Special Issue Discrete Mathematics and Symmetry)
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Abstract

One of the main problems in the theory of strongly regular graphs (SRGs) is constructing and classifying SRGs with given parameters. Strongly regular graphs with parameters (37,18,8,9), (41,20,9,10), (45,22,10,11), (49,24,11,12), (49,18,7,6) and (50,21,8,9) are the only strongly regular graphs on up to 50 vertices that still have to be classified. In this paper, we give the enumeration of SRGs with these parameters having S3 as an automorphism group. The construction of SRGs in this paper is a step in the classification of SRGs on up to 50 vertices. View Full-Text
Keywords: strongly regular graph; automorphism group; orbit matrix strongly regular graph; automorphism group; orbit matrix
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Maksimović, M. Enumeration of Strongly Regular Graphs on up to 50 Vertices Having S3 as an Automorphism Group. Symmetry 2018, 10, 212.

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