Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2017 10 (3)
- Authors
- Efimov, Konstantin S.; Makhnev, Aleksandr A.
- Contact information
- Efimov, Konstantin S.: Ural Federal University Mira, 19, Yekaterinburg, 620000 Ural State University of Economics 8 marta, 62, Yekaterinburg, 620144 Russia; ; Makhnev, Aleksandr A.: N.N.Krasovsky Institute of Mathematics and Mechanics S.Kovalevskoy, 4, Yekaterinburg, 620990 Ural Federal University Mira, 19, Yekaterinburg, 620000 Russia;
- Keywords
- distance-regular graph; strongly-regular graph; automorphism of the graph
- Abstract
Koolen and Jurisich defined class of AT4-graphs (tight antipodal graph of diameter 4). Among these graphs available graph with intersection array f288; 245; 48; 1; 1; 24; 245; 288g on v = 1 + 288 + 2940 + 576 + 2 = 3807 vertices. Antipodal quotient of this graph is strongly regular graph with parameters (1269; 288; 42; 72). Both these graphs are locally pseudo GQ(7; 5)-graphs. In this paper we find possible automorphisms of these graphs. In particular, group of automorphisms of distance-regular graph with intersection array f288; 245; 48; 1; 1; 24; 245; 288g acts intransitive on the set of its antipodal classes
- Pages
- 271–280
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/33619
Journal of Siberian Federal University. Mathematics & Physics / Automorphisms of the AT4(6; 6; 3)-graph and its Strongly-regular Graphs
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