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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 2, Pages 184–209
(Mi timm1069)
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This article is cited in 1 scientific paper (total in 1 paper)
Automorphisms of Higman graphs with $\mu=6$
N. D. Zyulyarkinaa, A. A. Makhnevbc a South Ural State University
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
c B. N. Yeltsin Ural Federal University
Abstract:
We call a strongly regular graph with $v=\binom m2$ and $k=2(m-2)$ a Higman graph. In Higman graphs, the parameter $\mu$ takes values 4, 6, 7, and 8. We find possible orders of automorphisms of Higman graphs with $\mu =6$ and study the structure of fixed-point subgraphs of these automorphisms.
Keywords:
graph, automorphism, fixed-point subgraph.
Citation:
N. D. Zyulyarkina, A. A. Makhnev, “Automorphisms of Higman graphs with $\mu=6$”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 2, 2014, 184–209; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 240–268
Linking options:
https://www.mathnet.ru/eng/timm1069 https://www.mathnet.ru/eng/timm/v20/i2/p184
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