"Vertex" is a synonym for a node of a graph, i.e., one of the points on which the graph is defined and which may be connected by graph edges. The terms "point, " "junction, " and 0-simplex are also used. The following tables gives the total numbers of graph vertices for various classes of graphs on n = 1, 2, ... nodes. graph type | OEIS | total node count for n = 1, 2, ... nodes graph | A055542 | 1, 4, 12, 44, 170, 936, 7308, 98768, 2472012, ... labeled graph | A095340 | 1, 4, 24, 256, 5120, 196608, ... labeled tree | A000169 | 1, 2, 9, 64, 625, 7776, 117649, ... planted tree | A095341 | 0, 2, 3, 8, 20, 54, 140, 384, 1035, 2860, ... rooted tree | A055545 | 1, 2, 6, 16, 45, 120, 336, 920, 2574, ... tree | A055544 | 1, 2, 3, 8, 15, 36, 77, 184 ...
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