TRANSITIVE DISTANCE-REGULAR GRAPHS FROM LINEAR GROUPS L(3; q), q = 2; 3; 4; 5

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Svob Andrea

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Journal Paper

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Journal: TRANSACTIONS ON COMBINATORICS Year:2020 | Volume:9 | Issue:1 Page(s): 49-60

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Title

TRANSITIVE DISTANCE-REGULAR GRAPHS FROM LINEAR GROUPS L(3; q), q = 2; 3; 4; 5

Author(s)

Svob Andrea | Issue Writer Certificate

Keywords

strongly regular graph

distance-regular graph

linear group

self-orthogonal code

Abstract

In this paper we classify distance-regular graphs, including strongly regular graphs, ad-mitting 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.

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APA: Copy

Svob, Andrea. (2020). TRANSITIVE DISTANCE-REGULAR GRAPHS FROM LINEAR GROUPS L(3; q), q = 2; 3; 4; 5. TRANSACTIONS ON COMBINATORICS, 9(1), 49-60. SID. https://sid.ir/paper/778061/en

Vancouver: Copy

Svob Andrea. TRANSITIVE DISTANCE-REGULAR GRAPHS FROM LINEAR GROUPS L(3; q), q = 2; 3; 4; 5. TRANSACTIONS ON COMBINATORICS[Internet]. 2020;9(1):49-60. Available from: https://sid.ir/paper/778061/en

IEEE: Copy

Andrea Svob, “TRANSITIVE DISTANCE-REGULAR GRAPHS FROM LINEAR GROUPS L(3; q), q = 2; 3; 4; 5,” TRANSACTIONS ON COMBINATORICS, vol. 9, no. 1, pp. 49–60, 2020, [Online]. Available: https://sid.ir/paper/778061/en

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