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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.
7
votes
0
answers
223
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verifying a combinatorial inequality
Math people:
I would like to verify a conjecture: letting $n \geq 2$, and letting $\mu_1, \mu_2, \ldots, \mu_n, \gamma_1, \gamma_2, \ldots, \gamma_n$ be distinct positive reals with $\gamma_1 < \gamm …
18
votes
3
answers
1k
views
looking for proof or partial proof of determinant conjecture
Math people:
I am looking for a proof of a conjecture I made. I need to give two definitions. For distinct real numbers $x_1, x_2, \ldots, x_k$, define $\sigma(x_1, x_2, \ldots, x_k) =1$ if $(x_1, x …