The superconnectivity of large digraphs and graphs
Proceedings of the first Malta conference on Graphs and combinatorics
Subgraph distances in graphs defined by edge transfers
Discrete Mathematics
Superconnectivity of bipartite digraphs and graphs
Discrete Mathematics
Connectivity of vertex and edge transitive graphs
Discrete Applied Mathematics
Graph Theory With Applications
Graph Theory With Applications
Hi-index | 0.00 |
Let G be a connected graph. The graph G is said to be super-connected if for every minimum vertex cut S of G, G-S has isolated vertices. Moreover, it is said to be hyper-connected if for every minimum vertex cut S, G-S has exactly two components, one of which is an isolated vertex. In this note, we give a necessary and sufficient condition for a graph G whose jump graph J(G) (the complement of line graph of G) is, respectively, super-connected and hyper-connected.