Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$

Yen-Jen Cheng; Chih-wen Weng

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arXiv · 2506.11401

Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$

Yen-Jen Cheng·Chih-wen Weng

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Abstract

We determine the extremal graph $G$ of order $n$ that maximizes the sum of the spectral radii of $G$ and its complement. This resolves a conjecture posed by Stevanović in 2007.

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BibTeX RIS

Yen-Jen Cheng, Chih-wen Weng. 2025-06-13. Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$. https://arxiv.org/abs/2506.11401

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