The Laplacian spectral radius of a graph is the largest eigenvalue of the associated Laplacian matrix. In this paper, we provide structural and behavioral details of graphs with maximum Laplacian spectral radius among all bipartite connected graphs of given order and size. Using these results, we provide a unified approach to determine the graphs with maximum Laplacian spectral radii among all trees, and all bipartite unicyclic, bicyclic, tricyclic and quasi-tree graphs, respectively. Copyright © 2011 Elsevier Inc.
Laplacian Spectral Radius
Graph in graph theory
CitationLi, J., Shiu, W. C., & Chan, W. H. (2011). On the Laplacian spectral radii of bipartite graphs. Linear Algebra and Its Applications, 435(9), 2183-2192. doi: 10.1016/j.laa.2011.04.008
- Bipartite graph
- Laplacian spectral radius