Unicyclic graphs with exactly two main eigenvalues

@article{Hou2006UnicyclicGW,
  title={Unicyclic graphs with exactly two main eigenvalues},
  author={Yaoping Hou and Feng Tian},
  journal={Appl. Math. Lett.},
  year={2006},
  volume={19},
  pages={1143-1147}
}
An eigenval ue of a graphG is called a main eigenvalue if it has an eigenvect or the sum of whose entries is not equal to zero, and it is well known that a graph has exactly one main eigenvalue if and only if it is regular. In this work, all connected unicyclic graphs with exactly two main eigenvalues are determined. c © 2006 Elsevier Ltd. All rights reserved.