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Unitary Graphs and Their Automorphisms
Zhe-Xian Wan and Kai Zhou
Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China
{wan, kzhou}@amss.ac.cn
Annals of Combinatorics 14 (3) pp.367-395 September, 2010
AMS Subject Classification: 05C25, 05C60, 05E15, 11T99
Abstract:
The (isotropic) unitary graph U(n,q2) is introduced. When n=2 or 3, U(2,q2) or U(3,q2) are complete graphs with q+1 or q3+1 vertices, respectively. When n≥4, it is shown that U(n,q2) is strongly regular and its parameters are computed. The group of graph automorphisms of U(n,q2), when n≠4,5, is determined.
Keywords: isotropic unitary graphs, automorphisms

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