TY - JOUR
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 - Funding Information:
Funding. The research was supported by the National Natural Science Foundation of China (Grant Nos. 11971142, 11871202, 61673169, 11701176, 11626101, 11601485). Also this research is supported by the Start-Up Research Grant 2016 of United Arab Emirates University (UAEU), Al Ain, United Arab Emirates via Grant No. G00002233 and UPAR Grant of UAEU via Grant No. G00002590.
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. In this paper the lower and upper bounds of Zagreb indices, multiple Zagreb indices and F-index for rooted product of F-sum on connected graphs are determined
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. In this paper the lower and upper bounds of Zagreb indices, multiple Zagreb indices and F-index for rooted product of F-sum on connected graphs are determined
KW - augmented Zagreb index
KW - F-index
KW - F-sum on graphs
KW - rooted product of graphs
KW - Zagreb indices
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U2 - 10.7153/jmi-2021-15-36
DO - 10.7153/jmi-2021-15-36
M3 - Article
AN - SCOPUS:85109452584
SN - 1846-579X
VL - 15
SP - 477
EP - 489
JO - Journal of Mathematical Inequalities
JF - Journal of Mathematical Inequalities
IS - 2
ER -