@article{Ge2022, 
author = {Huifen Ge and Shumin Zhang and Chengfu Ye and Rongxia Hao},
title = {The generalized 4-connectivity of folded Petersen cube networks},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {8},
pages = {14718-14737},
keywords = {generalized 4-connectivity, folded Petersen cube networks, Cartesian product},
url = {https://www.sciopen.com/article/10.3934/math.2022809},
doi = {10.3934/math.2022809},
abstract = {The generalized    ℓ-connectivity        κ          ℓ        (  G  ) of a graph    G is a generalization of classical connectivity    κ  (  G  ) with        κ          2        (  G  )  =  κ  (  G  ). It serves to measure the capability of connection for any    ℓ vertices. The folded Petersen cube network    F  P      Q          n      ,      k       can be used to model the topological structure of a communication-efficient multiprocessor. This paper shows that the generalized 4-connectivity of the folded Petersen cube network    F  P      Q          n      ,      k       is    n  +  3  k  −  1. As a corollary, the generalized 3-connectivity of    F  P      Q          n      ,      k       also is obtained and the results on the generalized 4-connectivity of hypercube        Q    n   and folded Petersen graph    F      P    k   can be verified. These conclusions provide a foundation for studying the generalized 4-connectivity of Cartesian product graphs.}
}