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Li-Gong Wang

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Preprint Sep 2026

Extremal spectral result of outerplanar graphs without $P_{3\cdot l}$

A graph $G$ is $F$-free if it does not contain $F$ as a subgraph. Let $\mathrm{spex}(n,F)$ be the maximum spectral radius over all $n$-vertex $F$-free outerplanar graphs. For integers $t\geq1$ and $l\geq2$, let $P_{t\cdot l}$ be the starlike tree with $t$ branches of length $l-1$. For sufficiently large $n$, Yin, Li, a...

Fu-Long Ye, Yu-Xiang Liu, Li-Gong Wang · 0 citations
Preprint Sep 2026

Some results on the distance spectral radius and edge-disjoint spanning trees of graphs

Let $\tau(G)$ denote the maximum number of edge-disjoint spanning trees in a connected graph $G$ of order $n$, and let $\rho_D(G)$ denote its distance spectral radius. For an integer $k\ge2$, Fan, He and Zhao [Discrete Appl. Math. 376 (2025) 31--40] obtained a sharp distance spectral radius condition for $\tau(G)\ge k$...

Yong-Bin Gao, Li-Gong Wang · 0 citations

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