Author

Chun-Qiu Fang

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Preprint Sep 2026

On the Exact Tur\'an Number of $F^-_{4,3}$

For a $3$-graph $F$, the Tur\'an number of $F$, denoted by $\ex(n,F)$, is the maximum number of edges in a $3$-graph on $n$ vertices containing no subgraph isomorphic to $F$. Let $F^-_{4,3}$ be the $3$-graph formed by a complete four-vertex core and three outer vertices, with all but one of the twelve triples containin...

Chun-Qiu Fang · 0 citations

Preprint Sep 2026

On the maximum number of triangles in tripartite graphs with no $4$-cycles between any two parts

Let $G$ be a $3$-partite graph with $k$ vertices in each part such that the bipartite graph induced by any two parts contains no cycle of length four. Fischer and Matou\v{s}ek [J. Combin. Theory Ser. A, 2001] asked for the maximum number of triangles in such a graph. They obtained the lower bound $(1-o(1))k^{3/2}$ and...

Chun-Qiu Fang, Rong-Xing Xu · 1 citation