Computing Reformulated First Zagreb Index of Some Chemical Graphs as an Application of Generalized Hierarchical Product of Graphs
The generalized hierarchical product of graphs was introduced by L. Barrière et al. in 2009. In this paper, reformulated first Zagreb index of generalized hierarchical product of two connected graphs and hence as a special case cluster product of graphs are obtained. Finally using the derived result...
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doaj-d15e47b5dfea43d7a6d69c92b2992efe2020-11-25T02:51:56ZengPtolemy Scientific Research PressOpen Journal of Mathematical Sciences2616-49062523-02122018-11-012133835010.30538/oms2018.0039Computing Reformulated First Zagreb Index of Some Chemical Graphs as an Application of Generalized Hierarchical Product of GraphsNilanjan De0Department of Basic Sciences and Humanities (Mathematics), Calcutta Institute of Engineering and Management, Kolkata, IndiaThe generalized hierarchical product of graphs was introduced by L. Barrière et al. in 2009. In this paper, reformulated first Zagreb index of generalized hierarchical product of two connected graphs and hence as a special case cluster product of graphs are obtained. Finally using the derived results the reformulated first Zagreb index of some chemically important graphs such as square comb lattice, hexagonal chain, molecular graph of truncated cube, dimer fullerene, zig-zag polyhex nanotube and dicentric dendrimers are computed.https://openmathscience.com/computing-reformulated-first-zagreb-index-of-some-chemical-graphs-as-an-application-of-generalized-hierarchical-product-of-graphs-2/Topological Index; Zagreb Index; Reformulated Zagreb Index; Graph Operations; Composite graphs; Generalized Hierarchical Product. |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Nilanjan De |
spellingShingle |
Nilanjan De Computing Reformulated First Zagreb Index of Some Chemical Graphs as an Application of Generalized Hierarchical Product of Graphs Open Journal of Mathematical Sciences Topological Index; Zagreb Index; Reformulated Zagreb Index; Graph Operations; Composite graphs; Generalized Hierarchical Product. |
author_facet |
Nilanjan De |
author_sort |
Nilanjan De |
title |
Computing Reformulated First Zagreb Index of Some Chemical Graphs as an Application of Generalized Hierarchical Product of Graphs |
title_short |
Computing Reformulated First Zagreb Index of Some Chemical Graphs as an Application of Generalized Hierarchical Product of Graphs |
title_full |
Computing Reformulated First Zagreb Index of Some Chemical Graphs as an Application of Generalized Hierarchical Product of Graphs |
title_fullStr |
Computing Reformulated First Zagreb Index of Some Chemical Graphs as an Application of Generalized Hierarchical Product of Graphs |
title_full_unstemmed |
Computing Reformulated First Zagreb Index of Some Chemical Graphs as an Application of Generalized Hierarchical Product of Graphs |
title_sort |
computing reformulated first zagreb index of some chemical graphs as an application of generalized hierarchical product of graphs |
publisher |
Ptolemy Scientific Research Press |
series |
Open Journal of Mathematical Sciences |
issn |
2616-4906 2523-0212 |
publishDate |
2018-11-01 |
description |
The generalized hierarchical product of graphs was introduced by L. Barrière et al. in 2009. In this paper, reformulated first Zagreb index of generalized hierarchical product of two connected graphs and hence as a special case cluster product of graphs are obtained. Finally using the derived results the reformulated first Zagreb index of some chemically important graphs such as square comb lattice, hexagonal chain, molecular graph of truncated cube, dimer fullerene, zig-zag polyhex nanotube and dicentric dendrimers are computed. |
topic |
Topological Index; Zagreb Index; Reformulated Zagreb Index; Graph Operations; Composite graphs; Generalized Hierarchical Product. |
url |
https://openmathscience.com/computing-reformulated-first-zagreb-index-of-some-chemical-graphs-as-an-application-of-generalized-hierarchical-product-of-graphs-2/ |
work_keys_str_mv |
AT nilanjande computingreformulatedfirstzagrebindexofsomechemicalgraphsasanapplicationofgeneralizedhierarchicalproductofgraphs |
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1724732484134895616 |