Cycles embedding in exchanged hypercubes |
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Authors: | Meijie Ma Baodong Liu |
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Affiliation: | Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China |
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Abstract: | The exchanged hypercube EH(s,t), proposed by Loh et al., is obtained by systematically removing links from a binary hypercube. This paper investigates important properties related to embedding cycles into the exchanged hypercube EH(s,t). The authors show that EH(1,t) and EH(2,2) are not bipancyclic, but EH(s,t) (2?s?t) except EH(2,2) is bipancyclic and EH(s,t) (3?s?t) is vertex-bipancyclic. Moreover, every edge of EH(s,t) (2?s?t) lies on an even l-cycle where 8?l?2s+t+1. |
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Keywords: | Interconnection networks Exchanged hypercube Bipancyclic |
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