Research on the Construction Method of the Magic Triple System with Even Order
On the basis of the existing theorem of the magic triple system,the classification of even-number cases is given,and then the 1-factor decomposition is carried out by resolvable design idea.(α,β,λ,k)-MTS with even order,α=12m-8,k=2,λ＜α-2 is constructed by macking full use of auxiliary design such as balanced incomplete block design,resolvable design,Kirkman triple system.
1-factor decompositionresolvabledesignbalanced incomplete block designKirkman triple systemmagic triple system
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