Hamiltonian Cycles Passing Through Prescribed Edges in Locally Twisted Cubes

Author:

Cheng Dongqin1ORCID

Affiliation:

1. Department of Mathematics, Jinan University, Guangzhou 510632, P. R. China

Abstract

Let [Formula: see text] be a set of edges whose induced subgraph consists of vertex-disjoint paths in an [Formula: see text]-dimensional locally twisted cube [Formula: see text]. In this paper, we prove that if [Formula: see text] contains at most [Formula: see text] edges, then [Formula: see text] contains a Hamiltonian cycle passing through every edge of [Formula: see text], where [Formula: see text]. [Formula: see text] has a Hamiltonian cycle passing through at most one prescribed edge.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Computer Networks and Communications

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Improving Time Efficiency of a Hierarchical Metaheuristic for the Euclidean TSP using Crossed Cubes Interconnection Networks;Proceedings of the 2023 6th International Conference on E-Business, Information Management and Computer Science;2023-12-30

2. The generalized 4-connectivity of locally twisted cubes;Journal of Applied Mathematics and Computing;2023-05-21

3. Construction Compressed Quadtree into M-Dimensional Crossed Cubes via the Embedding;2022 International Symposium on iNnovative Informatics of Biskra (ISNIB);2022-12-07

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