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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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Constructing orientations that increase (directed) distances between vertices in a maximum i...

An orientation of a simple undirected graph $G=(V,E)$ is a directed graph $G' = (V,E')$ that is constructed by including either $(u,v) \in E'$ or $(v,u) \in E'$, but not both, for all $(u,v) \in E$. L …