Author

Zhouningxin Wang

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Preprint Aug 2026

On the structure of graphs with given odd girth and large algebraic connectivity

A classical result of Andr\'asfai, Erd\H{o}s, and S\'os states that every $n$-vertex graph with odd girth at least $2k+1$ and minimum degree larger than $\frac{2n}{2k+1}$ is bipartite. Rather than imposing a minimum-degree condition, in this paper we investigate conditions on algebraic connectivity that force graphs of...

Zheng-Bo Chen, Chen-Xing Li, Zhouningxin Wang · 0 citations

Preprint Aug 2026

A local clique density theorem in $H$-free graphs

In 2016, Reiher's clique density theorem determined the minimum number of copies of $K_t$ in a graph with a prescribed edge density. In this paper, we investigate its local version and prove a local clique density theorem in $H$-free graphs as follows. For integers $r$ and $t$ with $2\leq t\leq r-1$, any $r$-chromatic...

Jia-Ao Li, Xinyu Li, Yan Wang et al. · 0 citations