Abstract: Let G = (V,E) be a connected graph. A r-component cut of G is a set of vertices whose deletion results in a graph with at least r components. r-component connectivity cκr(G) of G is the size of the smallest r-component cut. The r-component edge connectivity cλr(G) can be defined similarly. In this paper, we determine the r-component (edge) connectivity of crossed cubes CQn for small r. And we also prove other properties of CQn.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.