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对称群上的一类Cayley图的边传递性和Hamilton性
引用本文:王世英,刘岩,张毓仁. 对称群上的一类Cayley图的边传递性和Hamilton性[J]. 高校应用数学学报(英文版), 1999, 14(4)
作者姓名:王世英  刘岩  张毓仁
作者单位:王世英,Wang Shiying(Dept.of Math,Zhengzhou Univ,Zhengzhou 450052; Institute of Economics,Xinjiang Univ,Urumqi 830046);刘岩,Zhang Yuren(Dept.of Foundation,Shanxi Electric Power Professional Univ,Taiyuan 030013);张毓仁,Liu Yan(Dept.of Math,Zhengzhou Univ,Zhengzhou 450052)  
摘    要:


A CLASS OF HAMILTONIAN AND EDGE SYMMETRIC CAYLEY GRAPHS ON SYMMETRIC GROUPS
Wang Shiying,Zhang Yuren,Liu Yan. A CLASS OF HAMILTONIAN AND EDGE SYMMETRIC CAYLEY GRAPHS ON SYMMETRIC GROUPS[J]. Applied Mathematics A Journal of Chinese Universities, 1999, 14(4)
Authors:Wang Shiying  Zhang Yuren  Liu Yan
Abstract:Let Sn be the symmetric group,g+I=(123i),g-I=(1i32) and M+n={g+I:4≤I≤n},then M+n is a minimal generating set of Sn,where n≥5.It is proved that Cayley graph Cay(Sn,M+n∪M-n) is Hamiltonian and edge symmetric.
Keywords:Cayley graph  Hamiltonian graph  edge symmetric graph  symmetric group
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