On Edge-Fault Tolerance in Augmented Cubes

Author:

SHINDE AMRUTA1,BORSE Y. M.1

Affiliation:

1. Center for Advanced Studies in Mathematics, Department of Mathematics, Savitribai Phule Pune University, Pune - 411 007, India

Abstract

The augmented cube AQn is one of the important variations of the hypercube Qn. In this paper, we prove that the conditional h-edge connectivity of AQn with n ≥ 3 is 8n − 16 for h = 3 and 2n for h = 2n − 3. We also obtain an upper bound on the conditional h-edge connectivity for odd integer h satisfying [Formula: see text].

Funder

Council of Scientific and Industrial Research, India

Science and Engineering Research Board

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Networks and Communications

Cited by 5 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. Component connectivity of augmented cubes;Theoretical Computer Science;2023-03

2. The generalized measure of edge fault tolerance in exchanged 3-aryn-cube;International Journal of Parallel, Emergent and Distributed Systems;2023-02-06

3. Reliability Assessment of Interconnection Networks Based on Link Fault Patterns;IEEE Transactions on Reliability;2023

4. Reliability Evaluation of Augmented Cubes on Degree;Journal of Interconnection Networks;2021-12-30

5. A Note on Conditional Edge Connectivity of Hypercube Networks;Journal of Interconnection Networks;2021-06

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