Rooted graph
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In mathematics, and, in particular, in graph theory, a rooted graph is a mathematical graph in which one node (graph theory) is labelled in a special way to distinguish it from the graph's other node. This special node is called the root of the graph.
The number of rooted graphs for 1, 2, ... nodes is 1, 2, 6, 20, 90, 544, ... (OEIS A000666).