On the First Three Extremum Values of Variable Sum Exdeg Index of Trees

Chen, Shubo; Asghar, Syed Sheraz; Binyamin, Muhammad Ahsan; Iqbal, Zahid; Mahmood, Tayyeb; Aslam, Adnan

doi:10.1155/2021/6491886

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“…Xiaoling Sun et al [16] investigated extremal values of exdeg index for cuasi-tree graphs and unicyclic graphs by using some graph parameters. In [3] , the first three maximum and minimum values of

have been undersought for n -vertex trees. Furthermore, n -vertex trees with given diameter d have first three largest values of

.…”

Section: Introductionmentioning

confidence: 99%

Conjugated tricyclic graphs with maximum variable sum exdeg index

Rizwan

Bhatti

Javaid

et al. 2023

Heliyon

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have been undersought for n -vertex trees. Furthermore, n -vertex trees with given diameter d have first three largest values of

.…”

Section: Introductionmentioning

confidence: 99%

Conjugated tricyclic graphs with maximum variable sum exdeg index

Rizwan

Bhatti

Javaid

et al. 2023

Heliyon

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The Generalized Inverse Sum Indeg Index of Some Graph Operations

et al. 2022

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The study of networks and graphs carried out by topological measures performs a vital role in securing their hidden topologies. This strategy has been extremely used in biomedicine, cheminformatics and bioinformatics, where computations dependent on graph invariants have been made available to communicate the various challenging tasks. In quantitative structure–activity (QSAR) and quantitative structure–property (QSPR) relationship studies, topological invariants are brought into practical action to associate the biological and physicochemical properties and pharmacological activities of materials and chemical compounds. In these studies, the degree-based topological invariants have found a significant position among the other descriptors due to the ease of their computing process and the speed with which these computations can be performed. Thereby, assessing these invariants is one of the flourishing lines of research. The generalized form of the degree-based inverse sum indeg index has recently been introduced. Many degree-based topological invariants can be derived from the generalized form of this index. In this paper, we provided the bounds related to this index for some graph operations, including the Kronecker product, join, corona product, Cartesian product, disjunction, and symmetric difference. We also presented the exact formula of this index for the disjoint union, linking, and splicing of graphs.

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On the First Three Extremum Values of Variable Sum Exdeg Index of Trees

Abstract: For a graph G , its variable sum exdeg index is defined as SEI a G … Show more

Cited by 2 publications

References 12 publications

Conjugated tricyclic graphs with maximum variable sum exdeg index

Conjugated tricyclic graphs with maximum variable sum exdeg index

The Generalized Inverse Sum Indeg Index of Some Graph Operations

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