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Connected Graph -- from Wolfram MathWorld

A connected graph is graph that is connected in the sense of a topological space, i.e., there is a path from any point to any other point in the graph. A graph that is not connected is said to be disconnected. This definition means that the null graph and singleton graph are considered connected, while empty graphs on n>=2 nodes are disconnected. According to West (2001, p. 150), the singleton graph K_1, "is annoyingly inconsistent" since it is connected (specifically,...



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Connected Graph -- from Wolfram MathWorld

https://mathworld.wolfram.com/ConnectedGraph.html

A connected graph is graph that is connected in the sense of a topological space, i.e., there is a path from any point to any other point in the graph. A graph that is not connected is said to be disconnected. This definition means that the null graph and singleton graph are considered connected, while empty graphs on n>=2 nodes are disconnected. According to West (2001, p. 150), the singleton graph K_1, "is annoyingly inconsistent" since it is connected (specifically,...



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https://mathworld.wolfram.com/ConnectedGraph.html

Connected Graph -- from Wolfram MathWorld

A connected graph is graph that is connected in the sense of a topological space, i.e., there is a path from any point to any other point in the graph. A graph that is not connected is said to be disconnected. This definition means that the null graph and singleton graph are considered connected, while empty graphs on n>=2 nodes are disconnected. According to West (2001, p. 150), the singleton graph K_1, "is annoyingly inconsistent" since it is connected (specifically,...

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      Connected Graph -- from Wolfram MathWorld
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      Connected Graph
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      A connected graph is graph that is connected in the sense of a topological space, i.e., there is a path from any point to any other point in the graph. A graph that is not connected is said to be disconnected. This definition means that the null graph and singleton graph are considered connected, while empty graphs on n>=2 nodes are disconnected. According to West (2001, p. 150), the singleton graph K_1, "is annoyingly inconsistent" since it is connected (specifically,...
    • description
      A connected graph is graph that is connected in the sense of a topological space, i.e., there is a path from any point to any other point in the graph. A graph that is not connected is said to be disconnected. This definition means that the null graph and singleton graph are considered connected, while empty graphs on n>=2 nodes are disconnected. According to West (2001, p. 150), the singleton graph K_1, "is annoyingly inconsistent" since it is connected (specifically,...

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    • og:title
      Connected Graph -- from Wolfram MathWorld
    • og:description
      A connected graph is graph that is connected in the sense of a topological space, i.e., there is a path from any point to any other point in the graph. A graph that is not connected is said to be disconnected. This definition means that the null graph and singleton graph are considered connected, while empty graphs on n>=2 nodes are disconnected. According to West (2001, p. 150), the singleton graph K_1, "is annoyingly inconsistent" since it is connected (specifically,...

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      Connected Graph -- from Wolfram MathWorld
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      A connected graph is graph that is connected in the sense of a topological space, i.e., there is a path from any point to any other point in the graph. A graph that is not connected is said to be disconnected. This definition means that the null graph and singleton graph are considered connected, while empty graphs on n>=2 nodes are disconnected. According to West (2001, p. 150), the singleton graph K_1, "is annoyingly inconsistent" since it is connected (specifically,...
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