Cyclically decomposing the complete graph into cycles

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Cyclically decomposing the complete graph into cycles

Let m1; m2; : : : ; mk be positive integers not less than 3 and let n= ∑k i=1 mi. Then, it is proved that the complete graph of order 2n+ 1 can be cyclically decomposed into k(2n+ 1) cycles such that, for each i= 1; 2; : : : ; k, the cycle of length mi occurs exactly 2n+ 1 times. c © 2003 Elsevier B.V. All rights reserved.

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2004

ISSN: 0012-365X

DOI: 10.1016/j.disc.2003.12.009