TITLE:
The g-Good-Neighbor Connectivity of Some Cartesian Product Graphs
AUTHORS:
Yinkui Li, Ting Xie, Xiaoxiao Qin
KEYWORDS:
Connectivity, The g-Good-Neighbor Connectivity, Cartesian Product
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.13 No.1,
January
12,
2023
ABSTRACT: The g-good-neighbor connectivity of G is a generalization of the concept of
connectivity, which is just for, and an important parameter in measuring the fault tolerance
and reliability of interconnection network. Many well-known networks can be
constructed by the Cartesian products of some simple graphs. In this paper, we
determine the g-good-neighbor
connectivity of some Cartesian product graphs. We give the exact value of g-good-neighbor connectivity of the
Cartesian product of two complete graphs and for , mesh for , cylindrical grid and torus for .