The F-coindex of some graph operations

The F-index of a graph is defined as the sum of cubes of the vertex degrees of the graph. In this paper, we introduce a new invariant which is named as F-coindex. Here, we study basic mathematical properties and the behavior of the newly introduced F-coindex under several graph operations such as un...

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Detalles Bibliográficos
Autores principales: De, Nilanjan, Nayeem, Sk. Md. Abu, Pal, Anita
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4771675/
https://www.ncbi.nlm.nih.gov/pubmed/27026915
http://dx.doi.org/10.1186/s40064-016-1864-7
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author De, Nilanjan
Nayeem, Sk. Md. Abu
Pal, Anita
author_facet De, Nilanjan
Nayeem, Sk. Md. Abu
Pal, Anita
author_sort De, Nilanjan
collection PubMed
description The F-index of a graph is defined as the sum of cubes of the vertex degrees of the graph. In this paper, we introduce a new invariant which is named as F-coindex. Here, we study basic mathematical properties and the behavior of the newly introduced F-coindex under several graph operations such as union, join, Cartesian product, composition, tensor product, strong product, corona product, disjunction, symmetric difference of graphs and hence apply our results to find the F-coindex of different chemically interesting molecular graphs and nano-structures.
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spelling pubmed-47716752016-03-29 The F-coindex of some graph operations De, Nilanjan Nayeem, Sk. Md. Abu Pal, Anita Springerplus Research The F-index of a graph is defined as the sum of cubes of the vertex degrees of the graph. In this paper, we introduce a new invariant which is named as F-coindex. Here, we study basic mathematical properties and the behavior of the newly introduced F-coindex under several graph operations such as union, join, Cartesian product, composition, tensor product, strong product, corona product, disjunction, symmetric difference of graphs and hence apply our results to find the F-coindex of different chemically interesting molecular graphs and nano-structures. Springer International Publishing 2016-02-29 /pmc/articles/PMC4771675/ /pubmed/27026915 http://dx.doi.org/10.1186/s40064-016-1864-7 Text en © De et al. 2016 Open AccessThis 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
De, Nilanjan
Nayeem, Sk. Md. Abu
Pal, Anita
The F-coindex of some graph operations
title The F-coindex of some graph operations
title_full The F-coindex of some graph operations
title_fullStr The F-coindex of some graph operations
title_full_unstemmed The F-coindex of some graph operations
title_short The F-coindex of some graph operations
title_sort f-coindex of some graph operations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4771675/
https://www.ncbi.nlm.nih.gov/pubmed/27026915
http://dx.doi.org/10.1186/s40064-016-1864-7
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