Cycles Embedding in Exchanged Crossed Cube

Author:

Zhou Dongfang1,Fan Jianxi1,Lin Cheng-Kuan1,Zhou Jingya1ORCID,Wang Xi1

Affiliation:

1. School of Computer Science and Technology, Soochow University, Suzhou 215006, P. R. China

Abstract

The (s+t+1)-dimensional exchanged crossed cube, denoted by ECQ(s, t), proposed by Li et al., combines the advantages of the hypercube and the crossed cube. It has been proven that ECQ(s, t) has better properties than the fundamental hypercube in the aspects of the fewer edges, lower cost factor and smaller diameter. This paper studies the embedding of cycles in ECQ(s, t). It is proved that ECQ(s, t) contains an l-cycle of every length l from 4 to 2s+t+1 except that ECQ(2, 3) and ECQ(3, 3) do not contain a cycle of length 9 where [Formula: see text] and [Formula: see text]. This result reveals the fact that ECQ(s, t) nearly remains the cycle embedding capability, while it only has about half edges of crossed cube.

Funder

National Natural Science Foundation of China

the Natural Science Foundation of the Jiangsu Higher Education Institutions of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

Cited by 11 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. The Wide Diameter and Fault Diameter of Exchanged Crossed Cube;International Journal of Foundations of Computer Science;2023-06-23

2. Embedding Hierarchical Cubic Networks into k-Rooted Complete Binary Trees for Minimum Wirelength;International Journal of Foundations of Computer Science;2023-03-28

3. Shortest routing algorithm of the Exchanged Crossed Cube based on adjacent subcube group;2021 IEEE 21st International Conference on Software Quality, Reliability and Security Companion (QRS-C);2021-12

4. ($ 2n-3 $)-fault-tolerant Hamiltonian connectivity of augmented cubes $ AQ_n $;AIMS Mathematics;2021

5. Fault-Tolerant Panconnectivity of Augmented Cubes AQn;International Journal of Foundations of Computer Science;2019-12

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3