2 problems

0 votes0 replies0 views
Stanley's generating-function conjecture for sign-imbalances of partition shapes
Stanley's conjecture. For every $n\geq 0$ ,
Conjecturesolvedpartition-shapes sign-imbalance standard-young-tableauxarXiv posted 2 days ago
0 votes0 replies0 views
Ruskey's sign-balance conjecture for products of chains
Let $C_m$ and $C_n$ be chain posets with $m,n>1$ , and let $C_m\times C_n$ denote their product. A poset is sign-balanced when its numbers of even and odd linear extensions are equa…
Conjectureopenlinear-extensions posets sign-imbalancearXiv posted 2 days ago

Stanley's generating-function conjecture for sign-imbalances of partition shapes