Abstract
In this paper, we classify antipodal distance-regular graphs of diameter three that admit an arc-transitive action of SU3(q). In particular, we find a new infinite family of distance-regular antipodal r-covers of a complete graph on q3+1 vertices, where q is odd and r is any divisor of q+1 such that (q+1)∕r is odd. Further, we find several new constructions of arc-transitive antipodal distance-regular graphs of diameter three in case λ=μ.
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