Spectra of unicyclic graphs

Citation

Cvetkovic D & Rowlinson P (1987) Spectra of unicyclic graphs. Graphs and Combinatorics, 3 (1), pp. 7-23. https://doi.org/10.1007/BF01788525

Abstract
Unicyclic graphs are discussed in the context of graph orderings related to eigenvalues. Several theorems involving lexicographical ordering by spectral moments as well as the ordering by the largest eigenvalue are proved. An appendix contains a table of the 89 unicyclic graphs on eight vertices together with their spectra, spectral moments and characteristic polynomials.

Journal
Graphs and Combinatorics: Volume 3, Issue 1