Jul 15, 2025 · Given an unweighted directed graph G as a path matrix, the task is to find out if the graph is Strongly Connected or Unilaterally Connected or Weakly Connected.

In an undirected graph G, two vertices u and v are called connected if G contains a path from u to v. Otherwise, they are called disconnected. If the two vertices are additionally connected by a …

Nov 26, 2019 · A weakly connected component may or may not be a strongly connected component. A strongly connected component satisfies the definition of both strongly and …

Understanding how connected a directed graph is can significantly influence various algorithmic decisions and overall system performance. This article will dive deep into the concepts of …

Jul 20, 2022 · In this article, I want to make these two definitions of connectedness and in vs. out-neighbors more concrete through a few examples. Consider the following directed graph, and …

It’s strongly connected if, following the direction of the edges, it’s possible to reach any node starting from any other node. Let's explore this difference with some practical examples. A …

A directed graph is weakly connected if after turning the edges into undirected ones you get a connected undirected graph. A directed graph is strongly connected if even while keeping the …

A directed graph is called strongly connected if there is a path in each direction between each pair of vertices of the graph. That is, a path exists from the first vertex in the pair to the second, …

Dec 18, 2014 · In both cases, it requires that the undirected graph be connected, however strongly connected requires a stronger condition. You also have that if a digraph is strongly …

To describe the distinction between these kinds of connectedness in a directed graph, we use the terms weakly connected and strongly connected, with G3 being weakly connected and G4 …