中文

Chromatic number and spectral radius

组合数学 2007-06-07 v3

摘要

Let G be a graph, H be its chromatic number, L be the largest eigenvalue of its Laplacian, and M be the largest eigenvalue of its adjacency matrix. Then, complementing a well-known result of Hoffman, we show that L>=(H/(H-1))M

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引用

@article{arxiv.math/0702723,
  title  = {Chromatic number and spectral radius},
  author = {Vladimir Nikiforov},
  journal= {arXiv preprint arXiv:math/0702723},
  year   = {2007}
}