The concept of complete bipartite graphs can be generalized to define the complete multipartite graph $K_{r_1, r_2, ..., r_k}$. This graph consists of $k$ sets of vertices $A_1, A_2, ..., A_k$, with $|A_i| = r_i$ for each $i$, where all possible inserted edges are present and no intras-et edges are present. Find expressions for the order and size of $K_{r_1, r_2, ..., r_k}$.
2026-03-26 10:58:30.1774522710
Generalization of complete bipartite graphs
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