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arXiv · 2603.07501

Spectral bounds for the independence number of graphs and even uniform hypergraphs

Xinyu Hu·Jiang Zhou·Changjiang Bu
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Abstract

In this paper, we give spectral upper bounds for the independence number of even uniform hypergraphs and graphs, extend the Hoffman bound to even uniform hypergraphs, and give a simple spectral condition for determining the independence number, the Shannon capacity and the Lovász number of a graph. The Hoffman bound on the Lovász number is also extended from regular graphs to general graphs.

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Xinyu Hu, Jiang Zhou, Changjiang Bu. 2026-03-08. Spectral bounds for the independence number of graphs and even uniform hypergraphs. https://arxiv.org/abs/2603.07501

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