Turán graph
GRAPH
Turan graph; Cocktail party graph; Octahedral Graph; Octahedral graph
The Turán graph, denoted by T(n,r), is a complete multipartite graph; it is formed by partitioning a set of n vertices into r subsets, with sizes as equal as possible, and then connecting two vertices by an edge if and only if they belong to different subsets. Where q and s are the quotient and remainder of dividing n by r (so n = qr + s), the graph is of the form K_{q+1, q+1, \ldots, q, q}, and the number of edges is