Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/16629
Title: | Spectra and Randic spectra of caterpillar graphs and applications to the energy |
Author: | Andrade, Enide Gomes, Helena Robbiano, María |
Keywords: | Spectral graph theory Energy of graphs |
Issue Date: | 2017 |
Abstract: | Let $H$ be an undirected simple graph with vertices $v_{1},\ldots ,v_{k}$ and $G_{1},\ldots ,G_{k}$ be a sequence formed with $k$ disjoint graphs $G_{i}$, $i=1,\ldots ,k$. The $H$-generalized composition (or $H$% -join) of this sequence is denoted by $H\left[ G_{1},\ldots ,G_{k}\right] .$ In this work, we characterize the caterpillar graphs as a $H$-generalized composition and we study their spectra and Randi\'{c} spectra, respectively. As an application, we obtain an improved and tight upper bound for the Energy and the Randi\'{c} energy of these interesting trees. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/16629 |
ISSN: | 0340-6253 |
Publisher Version: | http://match.pmf.kg.ac.rs/electronic_versions/Match77/n1/match77n1_61-75.pdf |
Appears in Collections: | CIDMA - Artigos OGTCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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AndradeGomesRobbianoFINAL.pdf | Main article | 333.67 kB | Adobe PDF | View/Open |
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