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A note on the McKay-Miller-Širáň graphs. (English) Zbl 1024.05039
Summary: B. D. McKay, M. Miller and J. Širáň [J. Comb. Theory, Ser. B 74, 110-118 (1998; Zbl 0911.05031)] constructed a family of the currently largest known vertex-transitive graphs of degree \(d\), diameter 2, and order \({8\over 9}(d+{1\over 2})^2\), for infinitely many values of \(d\). We present a simplified construction of their graphs.

MSC:
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
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