[PDF] connected graph in data structure

Connected graph: If there is a path between every pair of vertices, then the graph is called a connected graph. Any graph containing an isolated edge can never be a connected graph. The first graph In the following example is connected whereas the second one is not a connected graph.
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  • What is the difference between connected graph and complete graph in data structure?

    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.

  • What is the formula for a connected graph?

    Theorem: [Euler's Formula] For a connected planar simple graph G=(V,E) with e=E and v=V, if we let r be the number of regions that are created when drawing a planar representation of the graph, then r=e-v+2.

  • What is the formula for a connected graph?

    Every graph G consists of one or more connected graphs, each such connected graph is a subgraph of G and is called a component of G. A connected graph has only one component and a disconnected graph has two or more components.
    For example, the graphs in Figure 31(a, b) have two components each.

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