Zhang, H., Bian, H. and Meng, J. (2025) Reliability Evaluation of Conditional Recursive Networks under H-Conditional Restriction. Applied Mathematics and Computation, 500, Article ID: 129399.
https://doi.org/10.1016/j.amc.2025.129399

has been cited by the following article:

• TITLE: The Reliability and Fault Tolerance of Conditional Recursive Networks

  AUTHORS: Yilin Song, Yinkui Li

  KEYWORDS: The Generalized -Connectivity, The Generalized -Edge-Connectivity, Conditional Recursive Networks

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.5, May 8, 2025

  ABSTRACT: The generalized k -connectivity κ k ( G ) and k -edge-connectivity λ k ( G ) of a graph G are a natural generalization of traditional connectivity κ( G ) and edge connectivity λ( G ) , respectively, which for κ( G )= κ 2 ( G ) and λ( G )= λ 2 ( G ) . They are important parameters which can often be used to measure the reliability and fault tolerance of interconnection networks. CRNs is a new family of composite networks based on the complete graph, which contain common networks and have the same structural properties as alternating group network, and may also include some unknown networks. In this paper, we investigate the generalized 3-connectivity and 3-edge-connectivity of CRNs, and show that κ 3 ( G l,m )= λ 3 ( G l,m )=m−2 .