Panconnectivity and edge-pancyclicity of k-ary n-cubes

Sun Yuan Hsieh; Tsong Jie Lin

doi:10.1002/net.20290

Panconnectivity and edge-pancyclicity of k-ary n-cubes

Sun Yuan Hsieh, Tsong Jie Lin

Department of Computer Science and Information Engineering

Research output: Contribution to journal › Article › peer-review

39 Citations (Scopus)

Abstract

In this article, we study some topological properties of k-ary n-cubes Q^k_n . We show that each edge in Q^k_n lies on a cycle of every length from k to kⁿ. We also show that Q^k_n is both bipanconnected and edge-bipancyclic, where n≥2 is an integer and k≥2 is an even integer.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Networks
Volume	54
Issue number	1
DOIs	https://doi.org/10.1002/net.20290
Publication status	Published - 2009 Aug 1

All Science Journal Classification (ASJC) codes

Software
Information Systems
Hardware and Architecture
Computer Networks and Communications

Access to Document

10.1002/net.20290

Cite this

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abstract = "In this article, we study some topological properties of k-ary n-cubes Qkn . We show that each edge in Qkn lies on a cycle of every length from k to kn. We also show that Qkn is both bipanconnected and edge-bipancyclic, where n≥2 is an integer and k≥2 is an even integer.",

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