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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

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Maximum number of four cycles with no intersecting three vertex paths

What is the size of the largest set (asymptotic) of four vertex cycles in an $n$-vertex simple, undirected graph such that no two cycles from this set has a common three vertex path? If we choose fou …
Balagopal Komarath's user avatar