Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs

Zhang, Xiujun

doi:10.11648/j.sjc.20170503.12

Cited by 4 publications

(1 citation statement)

References 9 publications

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“…Graovac et al [42] computed fifth geometric-arithmetic index for nanostar dendrimers in 2011. Asadpour et al [43] [48][49][50][51][52][53] discussed Randić connectivity index and sum connectivity index of the pent-heptagonal nanotube VAC 5 C 7 (S) in 2013. For the nanosheet VC 5 C 7 (m, n), we denote the number of pentagons in the first row by n; in this nanotube, the first four rows of vertices and edges are repeated alternatively and we denote the number of this repetition by m (see, e.g.,Figure 2(a) with (m, n) � (2, 4)).…”

Section: C 7 Nanosheets and Their Structuresmentioning

confidence: 99%

Topological Indices of the Pent-Heptagonal Nanosheets VC₅C₇ and HC₅C₇

Deng

Zhang

Alaeiyan

et al. 2019

Advances in Materials Science and Engineering

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In this paper, we computed the topological indices of pent-heptagonal nanosheet. Formulas for atom-bond connectivity index, fourth atom-bond connectivity index, Randić connectivity index, sum-connectivity index, first Zagreb index, second Zagreb index, augmented Zagreb index, modified Zagreb index, hyper Zagreb index, geometric-arithmetic index, fifth geometric-arithmetic index, Sanskruti index, forgotten index, and harmonic index of pent-heptagonal nanosheet have been derived.

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Section: C 7 Nanosheets and Their Structuresmentioning

confidence: 99%

Topological Indices of the Pent-Heptagonal Nanosheets VC₅C₇ and HC₅C₇

Deng

Zhang

Alaeiyan

et al. 2019

Advances in Materials Science and Engineering

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Survey on topological indices and graphs associated with a commutative ring

Abdussakir

Sudarman

Jauhari

et al. 2020

J. Phys.: Conf. Ser.

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The researches on topological indices are initially related to graphs obtained from biological activities or chemical structures and reactivity. Recently, the research on this topic has evolved on graphs in general and even on graphs obtained from algebraic structures, such as groups, rings or modules. This paper will present various topological index concepts, various graph concepts obtained from a commutative ring and some previous studies that are relevant to those two concepts. Based on the various concepts presented, research topics related to topological indices of a graph associated with a commutative ring can be found and carried out.

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Some Topological Indices of Subgroup Graph of Symmetric Group

Abdussakir¹

2019

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The concept of the topological index of a graph is increasingly diverse because researchers continue to introduce new concepts of topological indices. Researches on the topological indices of a graph which initially only examines graphs related to chemical structures begin to examine graphs in general. On the other hand, the concept of graphs obtained from an algebraic structure is also increasingly being introduced. Thus, studying the topological indices of a graph obtained from an algebraic structure such as a group is very interesting to do. One concept of graph obtained from a group is subgroup graph introduced by Anderson et al in 2012 and there is no research on the topology index of the subgroup graph of the symmetric group until now. This article examines several topological indices of the subgroup graphs of the symmetric group for trivial normal subgroups. This article focuses on determining the formulae of various Zagreb indices such as first and second Zagreb indices and co-indices, reduced second Zagreb index and first and second multiplicatively Zagreb indices and several eccentricity-based topological indices such as first and second Zagreb eccentricity indices, eccentric connectivity, connective eccentricity, eccentric distance sum and adjacent eccentric distance sum indices of these graphs.

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Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs

Cited by 4 publications

References 9 publications

Topological Indices of the Pent-Heptagonal Nanosheets VC₅C₇ and HC₅C₇

Topological Indices of the Pent-Heptagonal Nanosheets VC₅C₇ and HC₅C₇

Survey on topological indices and graphs associated with a commutative ring

Some Topological Indices of Subgroup Graph of Symmetric Group

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Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs

Cited by 4 publications

References 9 publications

Topological Indices of the Pent-Heptagonal Nanosheets VC5C7 and HC5C7

Topological Indices of the Pent-Heptagonal Nanosheets VC5C7 and HC5C7

Survey on topological indices and graphs associated with a commutative ring

Some Topological Indices of Subgroup Graph of Symmetric Group

Contact Info

Product

Resources

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Topological Indices of the Pent-Heptagonal Nanosheets VC₅C₇ and HC₅C₇

Topological Indices of the Pent-Heptagonal Nanosheets VC₅C₇ and HC₅C₇