Large non-trivial $t$-intersecting families for signed sets

Tian Yao, Benjian Lv, Kaishun Wang

For positive integers $n,r,k$ with $n\ge r$ and $k\ge 2$, a set $\{(x_1,y_1),(x_2,y_2),\dots ,(x_r,y_r)\}$ is called a $k$-signed $r$-set on $[n]$ if $x_1,\dots ,x_r$ are distinct ele…