Finite Graph

A graph with a finite number of nodes and edges. If it has n nodes and has no multiple edges or graph loops (i.e., it is simple), it is a subgraph of the complete graph K_n.

A graph which is not finite is called infinite. If every node has finite degree, the graph is called locally finite. The Cayley graph of a group with respect to a finite generating set is always locally finite, even if the group itself is infinite.

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