On cyclic decompositions of the complete graph into the 2-regular graphs |
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| Authors: | Zhihe Liang |
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| Institution: | 1. Department of Mathematics, Hebei Normal University, 050016, Shijiazhuang, P. R. China
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| Abstract: | The symbol C(m1 n 1m2 n 2...ms n s) denotes a 2-regular graph consisting ofn i cycles of lengthm i , i=1, 2,…,s. In this paper, we give some construction methods of cyclic(K v ,G)-designs, and prove that there exists a cyclic(K v , G)-design whenG=C((4m 1) n 1(4m 2) n 2...(4m s ) n s andv ≡ 1 (mod 2¦G¦). |
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