Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/16240
Título: | A lower bound for the energy of symmetric matrices and graphs |
Autor: | Andrade, Enide Robbiano, María Martín, B. San |
Palavras-chave: | Spectral graph theory Energy of graphs |
Data: | 15-Jan-2017 |
Editora: | Elsevier |
Resumo: | The energy of a symmetric matrix is the sum of the absolute values of its eigenvalues. We introduce a lower bound for the energy of a symmetric partitioned matrix into blocks. This bound is related to the spectrum of its quotient matrix. Furthermore, we study necessary conditions for the equality. Applications to the energy of the generalized composition of a family of arbitrary graphs are obtained. A lower bound for the energy of a graph with a bridge is given. Some computational experiments are presented in order to show that, in some cases, the obtained lower bound is incomparable with the well known lower bound $2\sqrt{m}$, where $m$ is the number of edges of the graph. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/16240 |
DOI: | 10.1016/j.laa.2016.10.022 |
ISSN: | 0024-3795 |
Aparece nas coleções: | CIDMA - Artigos OGTCG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
ARMrevised.pdf | 263.99 kB | Adobe PDF | Ver/Abrir |
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