@article{Li2026, 
author = {Yinkui Li and Yilin Song and Zhuomo An},
title = {The generalized    k-connectivity of conditional recursive networks},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {1},
pages = {1807-1819},
keywords = {the generalized connectivity, the generalized edge-connectivity, conditional recursive networks},
url = {https://www.sciopen.com/article/10.3934/math.2026075},
doi = {10.3934/math.2026075},
abstract = {The generalized    k-connectivity        κ    k    (  G  ) of graph    G is defined as the maximum number of internally disjoint Steiner trees in    G, which is a generalization of classical connectivity    κ  (  G  ) of    G just for    k  =  2. Conditional recursive networks (CRNs) form a new family of composite networks constructed from complete graphs. In this paper, we determine the generalized    k-connectivity of CRNs for    k  =  4.}
}