Author

Zhenzhen Lou

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Preprint Sep 2026

Sharp edge-spectral supersaturation for odd cycles

Let $G$ be a graph with $m$ edges and adjacency spectral radius$\rho(G)$, and let $N(C_{2k+1},G)$ denote the number of copies of $C_{2k+1}$ in $G$. For each fixed integer $k\ge 2$, define $ g_k(m):=\frac{k-1+\sqrt{4m-k^2+1}}{2}. $ Li, Zhai and Shu [European J. Combin., 2024] determined the spectral extr...

Jia-Qi Liu, Zhenzhen Lou, Shuang Sun · 1 citation

Preprint Aug 2026

On a spectral booksize problem fo non bipartite graphs

The $\text{bk}(G)$ of a graph $G$ is the maximum number of triangles sharing a common edge. Motivated by a classical conjecture of Erd\H{o}s, spectral lower bounds for the booksize have received considerable attention. For a positive divisor $s$ of $m-1$ with $\frac{m-1}{s}\ge2$, let $S_{m,s}^{+}$ be obtained from $K_{...

Benju Wang, Zhenzhen Lou, Jinlong Shu · 0 citations