The largest Laplacian and adjacency indices of complete caterpillars of fixed diameter

A complete caterpillar is a caterpillar in which each internal vertex is a quasi-pendent vertex. In this paper, in the class of all complete caterpillars on n vertices and diameter d, the caterpillar attaining the largest Laplacian index is determined. In addition, it is proved that this caterpillar...

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Autores principales:	Abreu,Nair, Lenes,Eber, Rojo,Oscar
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2015
Materias:	Caterpillar Laplacian matrix Laplacian index adjacency matrix index spectral radius
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000200006
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spelling	oai:scielo:S0716-091720150002000062015-10-20The largest Laplacian and adjacency indices of complete caterpillars of fixed diameterAbreu,NairLenes,EberRojo,Oscar Caterpillar Laplacian matrix Laplacian index adjacency matrix index spectral radius A complete caterpillar is a caterpillar in which each internal vertex is a quasi-pendent vertex. In this paper, in the class of all complete caterpillars on n vertices and diameter d, the caterpillar attaining the largest Laplacian index is determined. In addition, it is proved that this caterpillar also attains the largest adjacency index.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.34 n.2 20152015-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000200006en10.4067/S0716-09172015000200006
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Caterpillar Laplacian matrix Laplacian index adjacency matrix index spectral radius
spellingShingle	Caterpillar Laplacian matrix Laplacian index adjacency matrix index spectral radius Abreu,Nair Lenes,Eber Rojo,Oscar The largest Laplacian and adjacency indices of complete caterpillars of fixed diameter
description	A complete caterpillar is a caterpillar in which each internal vertex is a quasi-pendent vertex. In this paper, in the class of all complete caterpillars on n vertices and diameter d, the caterpillar attaining the largest Laplacian index is determined. In addition, it is proved that this caterpillar also attains the largest adjacency index.
author	Abreu,Nair Lenes,Eber Rojo,Oscar
author_facet	Abreu,Nair Lenes,Eber Rojo,Oscar
author_sort	Abreu,Nair
title	The largest Laplacian and adjacency indices of complete caterpillars of fixed diameter
title_short	The largest Laplacian and adjacency indices of complete caterpillars of fixed diameter
title_full	The largest Laplacian and adjacency indices of complete caterpillars of fixed diameter
title_fullStr	The largest Laplacian and adjacency indices of complete caterpillars of fixed diameter
title_full_unstemmed	The largest Laplacian and adjacency indices of complete caterpillars of fixed diameter
title_sort	largest laplacian and adjacency indices of complete caterpillars of fixed diameter
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2015
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000200006
work_keys_str_mv	AT abreunair thelargestlaplacianandadjacencyindicesofcompletecaterpillarsoffixeddiameter AT leneseber thelargestlaplacianandadjacencyindicesofcompletecaterpillarsoffixeddiameter AT rojooscar thelargestlaplacianandadjacencyindicesofcompletecaterpillarsoffixeddiameter AT abreunair largestlaplacianandadjacencyindicesofcompletecaterpillarsoffixeddiameter AT leneseber largestlaplacianandadjacencyindicesofcompletecaterpillarsoffixeddiameter AT rojooscar largestlaplacianandadjacencyindicesofcompletecaterpillarsoffixeddiameter
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The largest Laplacian and adjacency indices of complete caterpillars of fixed diameter

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