Semirotational Tree Factorizations of Complete Graphs |
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Authors: | A Ya Petrenyuk |
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Institution: | (1) Ukrainian State Aviation Academy, Kirovograd |
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Abstract: | We select the class of so-called semisymmetric trees and prove that every tree T from this class admits a T-factorization of a special form in the case where T is of order n = 2k 16. We formulate the conjecture that every semisymmetric tree T admits a T-factorization. We establish the existence of a T-factorization for semisymmetric trees of certain classes. |
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