Author

Dijian Wang

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Preprint Nov 2026

Connected graphs having maximum signless Laplacian spectral radius

Let $\rho(G)$ denote the signless Laplacian spectral radius of a graph $G$, and let $\mathcal C_{n,m}$ be the family of connected graphs of order $n$ and size $m$. A graph is $Q$-maximal if it maximizes $\rho(G)$ over this family. Motivated by a question of Chang and Tam (2011), we study this extremal problem using sca...

Di-Jian Wang, Hong Ge, Shi-Cai Gong et al. · 0 citations

Preprint Aug 2026

Minimizing the number of edges in $\mathcal{C}_{[4,6]}$-saturated graphs

Let $\mathcal{C}_{[4,r]}$ be the family of cycles $\{C_4, \dots, C_r\}$. A graph $G$ is said to be $\mathcal{C}_{[4,r]}$-saturated if $G$ does not contain a copy of cycle $C_i$ for $4\le i\le r$, but the addition of any edge $e\notin E(G)$ creates at least one copy of $C_i$ for $4\le i\le r.$ The saturation number $sat...

Qi Liu, Dijian Wang, Shicai Gong · 0 citations