On reduced second Zagreb index

Buyantogtokh, Lkhagva; Horoldagva, Batmend; Das, Kinkar Ch.

doi:10.1007/s10878-019-00518-7

Cited by 12 publications

(13 citation statements)

References 26 publications

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“…Using the reduced reverse degree-based edge partitions, the reduced reverse degree-based versions of the Zagreb indices, atom bond connectivity index, and geometric arithmetic index of the first and second metalorganic frameworks in [27]. Ali et al [28], Ashrafi et al [29], Aslam et al [30], Buyantogtokh et al [31], Došlić et al [32], Du et al [33], Furtula et al [34], Gao et al [35], Javaid et al [36], Noureen et al [37], Siddiqui [38], and Wang et al [39] are references for the contributions in Zagreb indices in recent years. A mathematically written assertion R(v) = Δ(GCT) − d v +1, is the notion of reverse-degree of vertex firstly introduced by Kulli in [40].…”

Section: Introductionmentioning

confidence: 99%

Investigation of reduced reverse degree based polynomials & indices of gold crystals

Khan,

Mutlib,

Campeña

et al. 2024

Phys. Scr.

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Gold is widely recognized as a noble metal due to its inherent inertness in its bulk form. Nevertheless, gold exhibits reactivity in its ionic form. The inert qualities of bulk gold have led to its extensive recognition as a fundamental raw ingredient in several biomedical processes. These applications encompass drug delivery microchips, dental prostheses, reconstructive surgery, food additives, and endovascular stents. Gold in large amounts can be thought of as safe. Gold can also exist as molecules or ions, specifically gold ions, making it easier to make gold nanomaterials. The distinctive characteristics of gold set it apart from its molecular or bulk states, making its execution a very efficient instrument in the field of nanomedicine. Some of these traits are ease of synthesis, a higher ratio of surface area to volume, more reactive particles, the ability to withstand changes to the surface, and strong optical properties. The reduced reverse degree-based polynomials and topological descriptors of the molecular structure of the gold crystal are investigated in this manuscript. The numerical and graphical analysis of outcomes this study are also described.

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Section: Introductionmentioning

confidence: 99%

Investigation of reduced reverse degree based polynomials & indices of gold crystals

Khan,

Mutlib,

Campeña

et al. 2024

Phys. Scr.

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“…Some information about the chemical applications of M 1 and M 2 can be found in [4,5]. These indices have also been the subject of extensive research into their relationship, comparison, and other mathematical properties [6][7][8][9][10][11][12][13][14]. Many existing facts of the Zagreb indices can be found in survey papers [15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Fixed-Order Chemical Trees with Given Segments and Their Maximum Multiplicative Sum Zagreb Index

Ali,

Noureen,

Moeed

et al. 2024

Mathematics

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Topological indices are often used to predict the physicochemical properties of molecules. The multiplicative sum Zagreb index is one of the multiplicative versions of the Zagreb indices, which belong to the class of most-examined topological indices. For a graph G with edge set E={e1,e2,⋯,em}, its multiplicative sum Zagreb index is defined as the product of the numbers D(e1),D(e2),⋯,D(em), where D(ei) is the sum of the degrees of the end vertices of ei. A chemical tree is a tree of maximum degree at most 4. In this research work, graphs possessing the maximum multiplicative sum Zagreb index are determined from the class of chemical trees with a given order and fixed number of segments. The values of the multiplicative sum Zagreb index of the obtained extremal trees are also obtained.

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“…Many fundamental mathematical properties such as lower and upper bounds involving other important graphical invariants can be bound in, e.g., [3][4][5][6][7][8][9][10][11][12][13][14][15]. More recent results are reported in [16][17][18][19][20][21][22][23][24][25]. Zagreb indices characterize the degree of branching in molecular carbon-atom skeleton and are regarded as powerful molecular structure-descriptors [26,27].…”

Section: Introductionmentioning

confidence: 99%

On Sombor Index

et al. 2021

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The concept of Sombor index (SO) was recently introduced by Gutman in the chemical graph theory. It is a vertex-degree-based topological index and is denoted by Sombor index SO: SO=SO(G)=∑vivj∈E(G)dG(vi)2+dG(vj)2, where dG(vi) is the degree of vertex vi in G. Here, we present novel lower and upper bounds on the Sombor index of graphs by using some graph parameters. Moreover, we obtain several relations on Sombor index with the first and second Zagreb indices of graphs. Finally, we give some conclusions and propose future work.

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On reduced second Zagreb index

Cited by 12 publications

References 26 publications

Investigation of reduced reverse degree based polynomials & indices of gold crystals

Investigation of reduced reverse degree based polynomials & indices of gold crystals

Fixed-Order Chemical Trees with Given Segments and Their Maximum Multiplicative Sum Zagreb Index

On Sombor Index

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