An 8-cycle is said to be squashed if we identify a pair of opposite vertices
and name one of them with the other (and thereby turning the 8-cycle into a
pair of 4-cycles with exactly one vertex in common). The resulting pair of
4-cycles is called a bowtie. We say that we have squashed the 8-cycle into a
bowtie. Evidently an 8-cycle can be squashed into a bowtie in eight different
ways. The object of this paper is the construction, for every n > 8, of a
maximum packing of Kn with 8-cycles which can be squashed in a maximum
packing of Kn with 4-cycles.
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