The m×n rook graph (confusingly called the m×n grid by Brouwer et al. 1989, p. 440) and also sometimes known as a lattice graph (e.g., Brouwer) is the graph Cartesian product K_m square K_n of complete graphs. By analogy with the KC graph and KP graph, the m×n rook graph could also be called a "KK graph." It is equivalent to the line graph L(K_(m, n)) of the complete bipartite graph K_(m, n), which is the definition adopted for example by Brualdi and Ryser (although restricted to the case m = n).
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