Abstract
It is known that a certain simple set of properties characterize the relationship of adjacency of the n(n - 1)/2 arcs of the complete graph of order n, when n ≠ 8, and that these properties are not a sufficient characterization when n = 8 (see [1], [2], [3], [4], and [7]). The present paper describes a method for enumerating all counter-examples when n = 8.
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