Inequalities between degree- and distance-based graph invariants

Inequalities provide a way to study topological indices relatively. There are two major classes of topological indices: degree-based and distance-based indices. In this paper we provide a relative study of these classes and derive inequalities between degree-based indices such as Randić connectivity...

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Detalles Bibliográficos
Autores principales: Nadeem, Imran, Shaker, Hani
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5814576/
https://www.ncbi.nlm.nih.gov/pubmed/29491690
http://dx.doi.org/10.1186/s13660-018-1633-y
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author Nadeem, Imran
Shaker, Hani
author_facet Nadeem, Imran
Shaker, Hani
author_sort Nadeem, Imran
collection PubMed
description Inequalities provide a way to study topological indices relatively. There are two major classes of topological indices: degree-based and distance-based indices. In this paper we provide a relative study of these classes and derive inequalities between degree-based indices such as Randić connectivity, GA, ABC, and harmonic indices and distance-based indices such as eccentric connectivity, connective eccentric, augmented eccentric connectivity, Wiener, and third ABC indices.
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spelling pubmed-58145762018-02-26 Inequalities between degree- and distance-based graph invariants Nadeem, Imran Shaker, Hani J Inequal Appl Research Inequalities provide a way to study topological indices relatively. There are two major classes of topological indices: degree-based and distance-based indices. In this paper we provide a relative study of these classes and derive inequalities between degree-based indices such as Randić connectivity, GA, ABC, and harmonic indices and distance-based indices such as eccentric connectivity, connective eccentric, augmented eccentric connectivity, Wiener, and third ABC indices. Springer International Publishing 2018-02-15 2018 /pmc/articles/PMC5814576/ /pubmed/29491690 http://dx.doi.org/10.1186/s13660-018-1633-y 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
Nadeem, Imran
Shaker, Hani
Inequalities between degree- and distance-based graph invariants
title Inequalities between degree- and distance-based graph invariants
title_full Inequalities between degree- and distance-based graph invariants
title_fullStr Inequalities between degree- and distance-based graph invariants
title_full_unstemmed Inequalities between degree- and distance-based graph invariants
title_short Inequalities between degree- and distance-based graph invariants
title_sort inequalities between degree- and distance-based graph invariants
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5814576/
https://www.ncbi.nlm.nih.gov/pubmed/29491690
http://dx.doi.org/10.1186/s13660-018-1633-y
work_keys_str_mv AT nadeemimran inequalitiesbetweendegreeanddistancebasedgraphinvariants
AT shakerhani inequalitiesbetweendegreeanddistancebasedgraphinvariants

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