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The Turán number of the grid

The Turán number of the grid

For a positive integer t $t$ , let F t $F_t$ denote the graph of the t × t $t\times t$ grid. Motivated by a 50-year-old conjecture of Erdős about Turán numbers of r $r$ -degenerate graphs, we prove that there exists a constant C = C ( t ) …