Connectivity properties obey the following hierarchy: convex star convex pathwise-connected connected.

# Connected

## See also

Arcwise-Connected, Connected Component, Connected Digraph, Connected Group, Connected Set, Connected Sum, Connected Surface, Connected Space, Connected Topology, Hamilton-Connected Graph,*k*-Connected Graph,

*k*-Edge-Connected Graph, Locally Pathwise-Connected, Multiply Connected, Pathwise-Connected, Strongly Connected Component, Strongly Connected Digraph, Weakly Connected Digraph

## Cite this as:

Weisstein, Eric W. "Connected." From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/Connected.html