[PDF] connected graph definition with example

A graph is a connected graph if, for each pair of vertices, there exists at least one single path which joins them. A connected graph may demand a minimum number of edges or vertices which are required to be removed to separate the other vertices from one another.
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  • What is a connected graph?

    A graph is said to be connected if every pair of vertices in the graph is connected.
    This means that there is a path between every pair of vertices.
    An undirected graph that is not connected is called disconnected.

  • How do you know a graph is connected?

    A graph is said to be connected if there is a path between every pair of vertex.
    From every vertex to any other vertex, there should be some path to traverse.
    That is called the connectivity of a graph.
    A graph with multiple disconnected vertices and edges is said to be disconnected.

  • How do you know a graph is connected?

    Two types of graphs are complete graphs and connected graphs.
    Complete graphs are graphs that have an edge between every single vertex in the graph.
    A connected graph is a graph in which it's possible to get from every vertex in the graph to every other vertex through a series of edges, called a path.

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