Fan, Yi-Zheng; Wu, Song Order unicyclic graphs according to spectral radius of unoriented Laplacian matrix. (English) Zbl 1173.05030 Discuss. Math., Graph Theory 28, No. 3, 487-499 (2008). Summary: The spectral radius of a graph is defined by that of its unoriented Laplacian matrix. In this paper, we determine the unicyclic graphs respectively with the third and the fourth largest spectral radius among all unicyclic graphs of given order. MSC: 05C50 Graphs and linear algebra (matrices, eigenvalues, etc.) 15A18 Eigenvalues, singular values, and eigenvectors Keywords:unicyclic graph; Laplacian matrix; spectral radius PDFBibTeX XMLCite \textit{Y.-Z. Fan} and \textit{S. Wu}, Discuss. Math., Graph Theory 28, No. 3, 487--499 (2008; Zbl 1173.05030) Full Text: DOI