Spectral extremal results on the Aα-spectral radius of graphs without Ka,b-minor

Xingyu Lei and Shuchao Li

Applied Mathematics and Computation, 2025, vol. 492, issue C

Abstract: An important theorem about the spectral Turán problem of Ka,b was largely developed in separate papers. Recently it was completely resolved by Zhai and Lin [J. Comb. Theory, Ser. B 157 (2022) 184-215], which also confirms a conjecture proposed by Tait [J. Comb. Theory, Ser. A 166 (2019) 42-58]. Here, the prior work is fully stated, and then generalized with a self-contained proof. The more complete result is then used to better understand the relationship between the Aα-spectral radius and the structure of the corresponding extremal Ka,b-minor free graph.

Keywords: Aα-spectral radius; Ka,b-minor free graph; Perron vector (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:492:y:2025:i:c:s0096300324006933

DOI: 10.1016/j.amc.2024.129232

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