In network analysis, the number of circuits in the network. It is given by:

where e = number of edges, v=number of vertices (nodes), p = number of graphs or sub-graphs. A high value of the cyclomatic number indicates a highly connected network. Gorman and Maleki (2002) Telecomm. Policy 2 note the relationship between the level of economic development of a region and the cyclomatic number of its major transport networks.