Title of article
Transitive distance-regular graphs from linear groups L(3,q), q=2,3,4,5
Author/Authors
Svob, Andrea Department of Mathematics - University of Rijeka, Croatia
Pages
12
From page
49
To page
60
Abstract
In this paper we classify distance-regular graphs, including strongly regular graphs, admitting a transitive action of the linear groups L(3,2), L(3,3), L(3,4) and L(3,5) for which the rank of the permutation representation is at most 15. We give details about constructed graphs. In addition, we construct self-orthogonal codes from distance-regular graphs obtained in this paper.
Keywords
strongly regular graph , distance-regular graph , linear group , self-orthogonal code
Journal title
Transactions on Combinatorics
Serial Year
2020
Record number
2605253
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