[PDF] connected graph definition for math

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 network in maths?

    The points are called vertices and the lines which connect them are called edges.
    Each edge has a vertex at each end.
    Here are some possible networks: A connected network is a network in which we can get from any vertex to any other by travelling along the edges.

  • What is connected graph in discrete mathematics?

    A connected graph is an undirected graph in which every unordered pair of vertices in the graph is connected.
    Otherwise, it is called a disconnected graph.
    In a directed graph, an ordered pair of vertices (x, y) is called strongly connected if a directed path leads from x to y.

  • What is connected graph in discrete mathematics?

    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.

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