# Further hardness results on the generalized connectivity of graphs

The generalized $k$-connectivity $\kappa k(G)$ of a graph $G$ was introduced by Chartrand et al. in 1984, which is a nice generalization of the classical connectivity. Recently, as a natural counterpart, Li et al. proposed the concept of generalized edge-connectivity for a graph. In this paper, we determine the computational complexity of the generalized connectivity and generalized edge-connectivity of a graph. Two conjectures are also proved to be true.

Author: Lily Chen; Xueliang Li; Mengmeng Liu; Yaping Mao

Source: https://archive.org/