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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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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1717768732281929728 |