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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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answers
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A basic minimization problem over finite fields
Let $p$ be a prime, and suppose we are given $n$ values mod $p$: $a_1,...,a_n\in Z_p$. Is there a fast algorithm for finding $\alpha\in Z_p$ which minimizes the value $\max_i (\alpha\cdot a_i$ mod $p …
0
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Graph Theory: problem with an n-partite graph
Yes, I forgot to mention that the statement is known to be false for r=1, and the result in complexity theory I'm going for is known to be true when r=log(n). Though it is proved with different metho …