The Sharp Bounds of Zagreb Indices on Connected Graphs

Yu Ming Chu; Muhammad Kashif Shafiq; Muhammad Imran; Muhammad Kamran Siddiqui; Hafiz Muhammad Afzal Siddiqui; Shakila Baby; Murat Cancan

doi:10.7153/jmi-2021-15-36

The Sharp Bounds of Zagreb Indices on Connected Graphs

Yu Ming Chu
, Muhammad Kashif Shafiq
, Muhammad Imran
, Muhammad Kamran Siddiqui
, Hafiz Muhammad Afzal Siddiqui
, Shakila Baby
, Murat Cancan

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

The analysis of a structure is based on its configuration. The common means available for this purpose is the use of graph products. The rooted product is specially revelent for trees. Chemical application of graph theory predicts different properties like physico-chemical properties, thermodynamics properties, chemical activity, biological activity, etc. Certain graph invariants known as topological indices are used for characterization of these properties. These indices have a promising role in chemical sciences and QSAR/QSPR studies.

Original language	English
Pages (from-to)	477-489
Number of pages	13
Journal	Journal of Mathematical Inequalities
Volume	15
Issue number	2
DOIs	https://doi.org/10.7153/jmi-2021-15-36
Publication status	Published - Jun 2021

Keywords

F-index
F-sum on graphs
Zagreb indices
augmented Zagreb index
rooted product of graphs

ASJC Scopus subject areas

Analysis

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10.7153/jmi-2021-15-36

Cite this

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title = "The Sharp Bounds of Zagreb Indices on Connected Graphs",

abstract = "The analysis of a structure is based on its configuration. The common means available for this purpose is the use of graph products. The rooted product is specially revelent for trees. Chemical application of graph theory predicts different properties like physico-chemical properties, thermodynamics properties, chemical activity, biological activity, etc. Certain graph invariants known as topological indices are used for characterization of these properties. These indices have a promising role in chemical sciences and QSAR/QSPR studies.",

keywords = "F-index, F-sum on graphs, Zagreb indices, augmented Zagreb index, rooted product of graphs",

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note = "Publisher Copyright: {\textcopyright} Zagreb",

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journal = "Journal of Mathematical Inequalities",

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T1 - The Sharp Bounds of Zagreb Indices on Connected Graphs

AU - Chu, Yu Ming

AU - Shafiq, Muhammad Kashif

AU - Imran, Muhammad

AU - Siddiqui, Muhammad Kamran

AU - Siddiqui, Hafiz Muhammad Afzal

AU - Baby, Shakila

AU - Cancan, Murat

N1 - Publisher Copyright: © Zagreb

PY - 2021/6

Y1 - 2021/6

N2 - The analysis of a structure is based on its configuration. The common means available for this purpose is the use of graph products. The rooted product is specially revelent for trees. Chemical application of graph theory predicts different properties like physico-chemical properties, thermodynamics properties, chemical activity, biological activity, etc. Certain graph invariants known as topological indices are used for characterization of these properties. These indices have a promising role in chemical sciences and QSAR/QSPR studies.

AB - The analysis of a structure is based on its configuration. The common means available for this purpose is the use of graph products. The rooted product is specially revelent for trees. Chemical application of graph theory predicts different properties like physico-chemical properties, thermodynamics properties, chemical activity, biological activity, etc. Certain graph invariants known as topological indices are used for characterization of these properties. These indices have a promising role in chemical sciences and QSAR/QSPR studies.

KW - F-index

KW - F-sum on graphs

KW - Zagreb indices

KW - augmented Zagreb index

KW - rooted product of graphs

UR - https://www.scopus.com/pages/publications/85109452584

UR - https://www.scopus.com/pages/publications/85109452584#tab=citedBy

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DO - 10.7153/jmi-2021-15-36

M3 - Article

AN - SCOPUS:85109452584

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VL - 15

SP - 477

EP - 489

JO - Journal of Mathematical Inequalities

JF - Journal of Mathematical Inequalities

IS - 2

ER -

The Sharp Bounds of Zagreb Indices on Connected Graphs

Abstract

Keywords

ASJC Scopus subject areas

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