AUTOMORPHISMS OF DISTANCE-REGULAR GRAPH WITH INTERSECTION ARRAY {39; 36; 4; 1; 1; 36}

Makhnev and Nirova have found intersection arrays of distance-regular graphs with no more than \(4096\) vertices, in which \(\lambda=2\)  and \(\mu=1\). They proposed the program of investigation of distance-regular graphs with \(\lambda=2\) and \(\mu=1\). In this paper the automorphisms of a distan...

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Main Authors: Konstantin S. Efimov, Aleksandr A. Makhnev
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2018-12-01
Series:Ural Mathematical Journal
Subjects:
Online Access:https://umjuran.ru/index.php/umj/article/view/135
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author Konstantin S. Efimov
Aleksandr A. Makhnev
author_facet Konstantin S. Efimov
Aleksandr A. Makhnev
author_sort Konstantin S. Efimov
collection DOAJ
description Makhnev and Nirova have found intersection arrays of distance-regular graphs with no more than \(4096\) vertices, in which \(\lambda=2\)  and \(\mu=1\). They proposed the program of investigation of distance-regular graphs with \(\lambda=2\) and \(\mu=1\). In this paper the automorphisms of a distance-regular graph with intersection array \(\{39,36,4;1,1,36\}\) are studied.
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institution Kabale University
issn 2414-3952
language English
publishDate 2018-12-01
publisher Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics
record_format Article
series Ural Mathematical Journal
spelling doaj-art-80520bda2cc247b4a42c24973584d2fd2025-08-20T03:57:03ZengUral Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and MechanicsUral Mathematical Journal2414-39522018-12-014210.15826/umj.2018.2.00867AUTOMORPHISMS OF DISTANCE-REGULAR GRAPH WITH INTERSECTION ARRAY {39; 36; 4; 1; 1; 36}Konstantin S. Efimov0Aleksandr A. Makhnev1Ural State University of Economics, 62 March 8th Str., Ekaterinburg, 620144Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaya Str., Ekaterinburg, 620990Makhnev and Nirova have found intersection arrays of distance-regular graphs with no more than \(4096\) vertices, in which \(\lambda=2\)  and \(\mu=1\). They proposed the program of investigation of distance-regular graphs with \(\lambda=2\) and \(\mu=1\). In this paper the automorphisms of a distance-regular graph with intersection array \(\{39,36,4;1,1,36\}\) are studied.https://umjuran.ru/index.php/umj/article/view/135Strongly regular graph, Distance-regular graph
spellingShingle Konstantin S. Efimov
Aleksandr A. Makhnev
AUTOMORPHISMS OF DISTANCE-REGULAR GRAPH WITH INTERSECTION ARRAY {39; 36; 4; 1; 1; 36}
Ural Mathematical Journal
Strongly regular graph, Distance-regular graph
title AUTOMORPHISMS OF DISTANCE-REGULAR GRAPH WITH INTERSECTION ARRAY {39; 36; 4; 1; 1; 36}
title_full AUTOMORPHISMS OF DISTANCE-REGULAR GRAPH WITH INTERSECTION ARRAY {39; 36; 4; 1; 1; 36}
title_fullStr AUTOMORPHISMS OF DISTANCE-REGULAR GRAPH WITH INTERSECTION ARRAY {39; 36; 4; 1; 1; 36}
title_full_unstemmed AUTOMORPHISMS OF DISTANCE-REGULAR GRAPH WITH INTERSECTION ARRAY {39; 36; 4; 1; 1; 36}
title_short AUTOMORPHISMS OF DISTANCE-REGULAR GRAPH WITH INTERSECTION ARRAY {39; 36; 4; 1; 1; 36}
title_sort automorphisms of distance regular graph with intersection array 39 36 4 1 1 36
topic Strongly regular graph, Distance-regular graph
url https://umjuran.ru/index.php/umj/article/view/135
work_keys_str_mv AT konstantinsefimov automorphismsofdistanceregulargraphwithintersectionarray393641136
AT aleksandramakhnev automorphismsofdistanceregulargraphwithintersectionarray393641136