Publication:
Outside perfect 8-cycle systems

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Lindner, Curt

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English

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The two 4-cycles (a, b, c, d) and (e, f, g, h) are called the outside 4-cycles of the 8-cycle (a, b, c, d, e, f, g, h). Given an 8-cycle system, if we can form a 4-cycle system by choosing two outside 4-cycles from each 8-cycle in the system, then the 8-cycle system is called outside perfect. In this paper we prove that an outside perfect maximum packing of K-n with 8-cycles of order n exists for all n >= 8, except n = 9, for which no such system exists.

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Australasian Journal Of Combinatorics

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Centre Discrete Mathematics & Computing

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Mathematics

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