English

An Erd\H{o}s-Stone type result for high-order spectra of graphs

Combinatorics 2024-03-11 v2

Abstract

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

Keywords

Cite

@article{arxiv.2311.13368,
  title  = {An Erd\H{o}s-Stone type result for high-order spectra of graphs},
  author = {Chunmeng Liu and Jiang Zhou and Changjiang Bu},
  journal= {arXiv preprint arXiv:2311.13368},
  year   = {2024}
}