Q. Ji

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20092026

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math.CO2026

A linear algebraic proof of the Laplacian spread conjecture

Bocheng Li, Qingzhong Ji

For a graph $G,$ let $α (G)$ denote its second smallest Laplacian eigenvalue. The Laplacian Spread Conjecture is that $α (G) + α (G) \geq 1,$ where $G$ is the comp…

math.CO2023

The graphs which are cospectral with the generalized pineapple graph

Borchen Li, Qingzhong Ji

Let $p, k, q$ be positive integers with $p - 2 ⩾ k$ and let $K_{p, k}^{q}$ be the generalized pineapple graph which is obtained by joining independent set of $q$ vertices with…