Browsing by Author "Tsay, Chey-Woei"

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The paths embedding of the arrangement graphs with prescribed vertices in given position
(2012-11-01)
Teng, Yuan-Hsiang
;
Tan, Jimmy J. M.
;
Tsay, Chey-Woei
;
Hsu, Lih-Hsing
;
資訊工程學系
Let n and k be positive integers with n-ka parts per thousand yen2. The arrangement graph A (n,k) is recognized as an attractive interconnection networks. Let x, y, and z be three different vertices of A (n,k) . Let l be any integer with . We shall prove the following existance properties of Hamiltonian path: (1) for n-ka parts per thousand yen3 or (n,k)=(3,1), there exists a Hamiltonian path R(x,y,z;l) from x to z such that d (R(x,y,z;l))(x,y)=l; (2) for n-k=2 and na parts per thousand yen5, there exists a Hamiltonian path R(x,y,z;l) except for the case that x, y, and z are adjacent to each other.