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arXiv · 2311.13368

An Erdős-Stone type result for high-order spectra of graphs

Chunmeng Liu·Jiang Zhou·Changjiang Bu
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Abstract

Erdős-Stone Theorem is a well-known result in extremal graph theory which determines the asymptotic behaviour of maximum number of edges in an $n$-vertex $H$-free graph. In 2009, Nikiforov gave a spectral version of Erdős-Stone Theorem. In this paper, we obtain a tensor's spectral version of Erdős-Stone Theorem.

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Chunmeng Liu, Jiang Zhou, Changjiang Bu. 2024-03-08. An Erdős-Stone type result for high-order spectra of graphs. https://arxiv.org/abs/2311.13368

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