Mingqing Zhai

activity

20222026

most citedExtremal eigenvalues with respect to graph minors

2 citations · 2 across the 12 of their papers we have counts for

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3 papers · 1 filter

math.CO2024

Spectral Radius of Graphs with Size Constraints: Resolving a Conjecture of Guiduli

Rui Li, Anyao Wang, Mingqing Zhai

We resolve a problem posed by Guiduli (1996) on the spectral radius of graphs satisfying the Hereditarily Bounded Property $P_{t, r}$ , which requires that every subgraph $H$ with $|…

math.CO2024

Turán numbers for non-bipartite graphs and applications to spectral extremal problems

Longfei Fang, Michael Tait, Mingqing Zhai

Given a graph family $H$ with $min_{H \in H} χ (H) = r + 1 \geq 3$ . Let $ex (n, H)$ and $spex (n, H)$ be the maximum number of edges and th…

math.CO2024★ 2 cited

Extremal eigenvalues with respect to graph minors

Mingqing Zhai, Longfei Fang, Huiqiu Lin

Let $s p e x (n, H_{min or})$ denote the maximum spectral radius of $n$ -vertex $H$ -minor free graphs. The problem on determining this extremal value can be dated back to the early 1990s.…