Concept

What are the two notions of connectedness for directed graphs?

Stephen Davies, Ph.D. Version 2.2.2 Through Discrete Mathematics A Cool Brisk Walk / Chapter 1

"Depends on what we mean. There are two different notions of “connectedness” for directed graphs. One is strongly connected, which means every vertex is reachable from any other by following the arrows in their specified directions. By that definition, this graph is not connected: there’s no way to get to H from J, for example. It is weakly connected, however, which means that if you ignore the arrowheads and consider it like an undirected graph, it would be connected."

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What are the two notions of connectedness for directed graphs? | Stephen Davies, Ph.D. Version 2.2.2 Through Discrete Mathematics A Cool Brisk Walk | Bifalgorithm | Bifalgorithm