# order (of a graph)

The order of a graph $G$ is the number of vertices in $G$; it is denoted by $|G|$. The same notation is used for the number of elements (cardinality) of a set. Thus, $|G|=|V(G)|$. We write $G^{n}$ for an arbitrary graph of order n. Similarly, $G(n,m)$ denotes an arbitrary graph of order n and size m.

Adapted with permission of the author from by Béla Bollobás, published by Springer-Verlag New York, Inc., 1998.

Title order (of a graph) OrderofAGraph 2013-03-22 12:31:23 2013-03-22 12:31:23 Mathprof (13753) Mathprof (13753) 8 Mathprof (13753) Definition msc 05C99 order Graph SizeOfAGraph MantelsTheorem