Guangqing Jin, Liancui Zuo, "On Further Ordering Bicyclic Graphs with Respect to the Laplacian Spectra Radius," WSEAS Transactions on Mathematics, vol. 12, pp. -, 2013, DOI:
Guangqing Jin, Liancui Zuo. On Further Ordering Bicyclic Graphs with Respect to the Laplacian Spectra Radius.
WSEAS Transactions on Mathematics. 2013;12:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
On Further Ordering Bicyclic Graphs with Respect to the Laplacian Spectra Radius
Authors: ,
Abstract: Among all the n-vertex bicyclic graphs, the first eight largest Laplacian spectra radii had been obtained in the past, all of which are no smaller than n − 1. In this paper, it is first obtained that all the bicyclic graphs on n vertices with Laplacian spectra radii at least n − 2 must contain two adjacent vertices which cover all the vertices except possibly two and one of the two adjacent vertices must have the degree at least n−3. Then the total forty-two such graphs are further ordered, and the ninth to the forty-first largest Laplacian spectra radii among all the n-vertex bicyclic graphs are finally determined in this way.
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 12, 2013DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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