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- W2952165258 abstract "Let G=Cn1□Cn2□⋯□Cnk be a Cartesian product of k≥2 directed cycles. It is known that G has a Hamilton cycle if there is a permutation (n1′,n2′,…,nk′) of (n1,n2,…,nk) that satisfies gcd(ni′,ni+1′⋅ni+2′⋯nk′)=si+zi and gcd(ni′,si)=gcd(ni+1′⋅ni+2′⋯nk′,zi)=1 for some positive integers si,zi, where k>i≥1. In addition, if gcd(n1′⋅n2′⋯nk′,s1⋅z1)=1 then G has two arc-disjoint Hamilton cycles. We identify a Hamilton cycle and two arc-disjoint Hamilton cycles in G in such cases." @default.
- W2952165258 created "2019-06-27" @default.
- W2952165258 creator A5043377625 @default.
- W2952165258 date "2020-01-02" @default.
- W2952165258 modified "2023-09-25" @default.
- W2952165258 title "Identifying Hamilton cycles in the Cartesian product of directed cycles" @default.
- W2952165258 cites W2141660592 @default.
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- W2952165258 doi "https://doi.org/10.1016/j.akcej.2019.03.007" @default.
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