Improved McClelland and Koolen–Moulton bounds for distance energy of a graph

Let G be a graph with n vertices and m edges. The term energy of a graph G was introduced by I. Gutman in chemistry due to its relevance to the total π-electron energy of a carbon compound. An analogous energy [Formula: see text] , called the distance energy, was defined by Indulal et al. (MATCH Com...

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Autores principales: Sridhara, G., Rajesh Kanna, M. R., Pradeep Kumar, R., Soner Nandappa, D.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6290675/
https://www.ncbi.nlm.nih.gov/pubmed/30839896
http://dx.doi.org/10.1186/s13660-018-1927-0
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author Sridhara, G.
Rajesh Kanna, M. R.
Pradeep Kumar, R.
Soner Nandappa, D.
author_facet Sridhara, G.
Rajesh Kanna, M. R.
Pradeep Kumar, R.
Soner Nandappa, D.
author_sort Sridhara, G.
collection PubMed
description Let G be a graph with n vertices and m edges. The term energy of a graph G was introduced by I. Gutman in chemistry due to its relevance to the total π-electron energy of a carbon compound. An analogous energy [Formula: see text] , called the distance energy, was defined by Indulal et al. (MATCH Commun. Math. Comput. Chem. 60:461–472, 2008) in 2008. McClelland and Koolen–Moulton bounds for distance energy were established subsequently by Ramane et al. (Kragujev. J. Math. 31:59–68, 2008). The lower and upper bounds for [Formula: see text] obtained in this paper are better than the McClelland and Koolen–Moulton bounds.
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spelling pubmed-62906752018-12-27 Improved McClelland and Koolen–Moulton bounds for distance energy of a graph Sridhara, G. Rajesh Kanna, M. R. Pradeep Kumar, R. Soner Nandappa, D. J Inequal Appl Research Let G be a graph with n vertices and m edges. The term energy of a graph G was introduced by I. Gutman in chemistry due to its relevance to the total π-electron energy of a carbon compound. An analogous energy [Formula: see text] , called the distance energy, was defined by Indulal et al. (MATCH Commun. Math. Comput. Chem. 60:461–472, 2008) in 2008. McClelland and Koolen–Moulton bounds for distance energy were established subsequently by Ramane et al. (Kragujev. J. Math. 31:59–68, 2008). The lower and upper bounds for [Formula: see text] obtained in this paper are better than the McClelland and Koolen–Moulton bounds. Springer International Publishing 2018-12-06 2018 /pmc/articles/PMC6290675/ /pubmed/30839896 http://dx.doi.org/10.1186/s13660-018-1927-0 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Sridhara, G.
Rajesh Kanna, M. R.
Pradeep Kumar, R.
Soner Nandappa, D.
Improved McClelland and Koolen–Moulton bounds for distance energy of a graph
title Improved McClelland and Koolen–Moulton bounds for distance energy of a graph
title_full Improved McClelland and Koolen–Moulton bounds for distance energy of a graph
title_fullStr Improved McClelland and Koolen–Moulton bounds for distance energy of a graph
title_full_unstemmed Improved McClelland and Koolen–Moulton bounds for distance energy of a graph
title_short Improved McClelland and Koolen–Moulton bounds for distance energy of a graph
title_sort improved mcclelland and koolen–moulton bounds for distance energy of a graph
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6290675/
https://www.ncbi.nlm.nih.gov/pubmed/30839896
http://dx.doi.org/10.1186/s13660-018-1927-0
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