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