Yantao Tang

collaborators

3 papers

math.CO2026

Counting Near-Spanning Matchings in Latin Squares and Steiner Triple Systems

Yantao Tang, Yi Zhao

Montgomery recently proved that for sufficiently large $n$ , every Latin square of order $n$ has a partial transversal with $n - 1$ cells, and every Steiner triple system of order $n$ …

math.CO2026

Tripartite Zarankiewicz numbers and norm graphs

Yantao Tang, Yi Zhao

For fixed integers $s \geq t \geq 2$ , let $ex (n, n, n, K_{s, t})$ denote the maximum number of edges in a tripartite $K_{s, t}$ -free graph with $n$ vertices in each part. When…

math.CO2025

Number of independent transversals in multipartite graphs

Yantao Tang, Yi Zhao

An independent transversal in a multipartite graph is an independent set that intersects each part in exactly one vertex. We show that for every even integer $r \geq 2$ , there exist…