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Connected graph

A connected graph is a type of graph where there is a path between every pair of vertices. In other words, you can get from any vertex to any other vertex by following the edges of the graph.

Connected graph: a graph where there is a path between every pair of vertices.

  • In an undirected graph, the edges have no direction, so you can traverse them in both directions.
  • A connected undirected graph means you can reach any vertex from any other vertex without considering edge directions.
  • In a directed graph (or digraph), the edges have a specific direction, so we need to consider the direction of the edges to check if it is possible to get from any vertex to any other vertex.