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Author

Hongzhang Chen

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Open access Oct 2026

Bounds on the spectral radius of graphs via subgraph deletion and coalescence

The spectral radius of a graph is a fundamental parameter closelylinked to network dynamics and robustness. Understanding its precisevariation under structural perturbations such as vertex deletion,edge removal, or graph coalescence is a central problem in spectralgraph theory. In this paper, we establish several sharp...

Hongzhang Chen, Jian-Xi Li · 0 citations
Preprint Oct 2026

Optimal spectral supersaturation for cliques and odd cycles

Let $Y_{n,r,q}$ be the graph obtained from the Tur\'an graph $T_{n,r}$ by adding $q$ pairwise disjoint edges inside a largest part, and let $c(n,F)$ be the minimum number of copies of $F$ created by adding a single edge to $T_{n,r}$. Fang, Li, Lin and Ma proved that for every color-critical graph $F$ with $\chi (F)=r+1...

Hongzhang Chen, Yong-Tao Li · 1 citation

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