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Casey Tompkins, Saturation problems in the Ramsey theory of graphs, posets and point sets
Casey Tompkins, Saturation problems in the Ramsey theory of graphs, posets and point sets
In 1964, Erdős, Hajnal and Moon introduced a saturation version of Turán's classical theorem in extremal graph theory. In particular, they determined the minimum number of edges in a $K_r$-free, $n$-vertex graph with the property that the addition of any further edge yields a copy of $K_r$. We consider analogues of this problem in other …