Further results on color energy of graphs

Given a colored graph G, its color energy Ec(G) is defined as the sum of the absolute values of the eigenvalues of the color matrix of G. The concept of color energy was introduced by Adiga et al. [1]. In this article, we obtain some new bounds for the color energy of graphs and establish relationsh...

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Main Authors: Joshi Prajakta Bharat, Joseph Mayamma
Format: Article
Language:English
Published: Sciendo 2017-12-01
Series:Acta Universitatis Sapientiae: Informatica
Subjects:
Online Access:https://doi.org/10.1515/ausi-2017-0008
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spelling doaj-db27a749eca9495ba160c9eb5a07ec262021-09-06T19:40:20ZengSciendoActa Universitatis Sapientiae: Informatica2066-77602017-12-019211913310.1515/ausi-2017-0008ausi-2017-0008Further results on color energy of graphsJoshi Prajakta Bharat0Joseph Mayamma1Christ University Bengaluru - 560029, IndiaDepartment of Mathematics, Christ University Bengaluru - 560029, IndiaGiven a colored graph G, its color energy Ec(G) is defined as the sum of the absolute values of the eigenvalues of the color matrix of G. The concept of color energy was introduced by Adiga et al. [1]. In this article, we obtain some new bounds for the color energy of graphs and establish relationship between color energy Ec(G) and energy E(G) of a graph G. Further, we construct some new families of graphs in which one is non-co-spectral color-equienergetic with some families of graphs and another is color-hyperenergetic. Also we derive explicit formulas for their color energies.https://doi.org/10.1515/ausi-2017-000805c1505c50energycolor matrixcolor eigenvaluescolor energy of a graph
collection DOAJ
language English
format Article
sources DOAJ
author Joshi Prajakta Bharat
Joseph Mayamma
spellingShingle Joshi Prajakta Bharat
Joseph Mayamma
Further results on color energy of graphs
Acta Universitatis Sapientiae: Informatica
05c15
05c50
energy
color matrix
color eigenvalues
color energy of a graph
author_facet Joshi Prajakta Bharat
Joseph Mayamma
author_sort Joshi Prajakta Bharat
title Further results on color energy of graphs
title_short Further results on color energy of graphs
title_full Further results on color energy of graphs
title_fullStr Further results on color energy of graphs
title_full_unstemmed Further results on color energy of graphs
title_sort further results on color energy of graphs
publisher Sciendo
series Acta Universitatis Sapientiae: Informatica
issn 2066-7760
publishDate 2017-12-01
description Given a colored graph G, its color energy Ec(G) is defined as the sum of the absolute values of the eigenvalues of the color matrix of G. The concept of color energy was introduced by Adiga et al. [1]. In this article, we obtain some new bounds for the color energy of graphs and establish relationship between color energy Ec(G) and energy E(G) of a graph G. Further, we construct some new families of graphs in which one is non-co-spectral color-equienergetic with some families of graphs and another is color-hyperenergetic. Also we derive explicit formulas for their color energies.
topic 05c15
05c50
energy
color matrix
color eigenvalues
color energy of a graph
url https://doi.org/10.1515/ausi-2017-0008
work_keys_str_mv AT joshiprajaktabharat furtherresultsoncolorenergyofgraphs
AT josephmayamma furtherresultsoncolorenergyofgraphs
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