Spectra of graphs obtained by a generalization of the join graph operation
Data(s) |
24/02/2015
06/03/2013
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Resumo |
Taking a Fiedler’s result on the spectrum of a matrix formed from two symmetric matrices as a motivation, a more general result is deduced and applied to the determination of adjacency and Laplacian spectra of graphs obtained by a generalized join graph operation on families of graphs (regular in the case of adjacency spectra and arbitrary in the case of Laplacian spectra). Some additional consequences are explored, namely regarding the largest eigenvalue and algebraic connectivity. |
Identificador |
0012-365X |
Idioma(s) |
eng |
Publicador |
Elsevier |
Relação |
PEst-C/MAT/UI4106/2011 (COMPETE number FCOMP-01-0124-FEDER-022690) Fondecyt Grant 1109021 PTDC/MAT/112276/2009 http://dx.doi.org/10.1016/j.disc.2012.10.016 |
Direitos |
restrictedAccess |
Palavras-Chave | #Graphs and linear algebra #Graph operations #Graph eigenvalues #Connectivity |
Tipo |
article |