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Tricyclic graphs with exactly two main eigenvalues

Combinatorics 2010-12-07 v1 Spectral Theory

Abstract

An eigenvalue of a graph GG is called a main eigenvalue if it has an eigenvector the sum of whose entries is not equal to zero. In this paper, all connected tricyclic graphs with exactly two main eigenvalues are determined.

Keywords

Cite

@article{arxiv.1012.0963,
  title  = {Tricyclic graphs with exactly two main eigenvalues},
  author = {Xiaoxia Fan and Yanfeng Luo},
  journal= {arXiv preprint arXiv:1012.0963},
  year   = {2010}
}

Comments

16 pages, 4 figures

R2 v1 2026-06-21T16:53:35.462Z