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This article is cited in 1 scientific paper (total in 1 paper)
Mathematical logic, algebra and number theory
Automorphisms of distance-regular graph with intersection array $\{144,125,32,1;1,8,125,144\}$
M. S. Nirova Kabardino-Balkarian State University named after H.M. Berbekov,
st. Chernyshevsky, 175, 360004, Nalchik, Russia
Abstract:
Distance-regular graph with intersection array $\{204,175,48,1;1,12,175,204\}$
is $AT4(4,6,5)$-graph. Antipodal quotient $\bar \Gamma$ is strongly regular with parameters $(800,204,28,60)$
and nonprincipal eigenvalues $4,-36$. Constituents of $\bar \Gamma$ are strongly regular with parameters
$(204,28,2,4)$ and $(595,144,18,40)$, the second neighborhhood of vertex in $\Gamma$ is
distance-regular graph with intersection array $\{144,125,32,1;1,8,125,144\}$. In this paper
automorphisms of strongly regalar graphs with parameters $(204,28,2,4)$, $(595,144,18,40)$ and
distance-regular graph with intersection array $\{144,125,32,1;1,8,125,144\}$ are investigated.
Keywords:
distance-regular graph, automorphism.
Received January 15, 2017, published March 6, 2017
Citation:
M. S. Nirova, “Automorphisms of distance-regular graph with intersection array $\{144,125,32,1;1,8,125,144\}$”, Sib. Èlektron. Mat. Izv., 14 (2017), 178–189
Linking options:
https://www.mathnet.ru/eng/semr777 https://www.mathnet.ru/eng/semr/v14/p178
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