An Application of Sombor Index over a Special Class of Semigroup Graph

Ünal, Seda Oğuz

doi:10.1155/2021/3273117

Cited by 4 publications

(3 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Its formula is given in Definition 1. Many findings on the Sombor index have been determined since then, where they can be found in the previous studies [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Sombor Index and Sombor Polynomial of the Noncommuting Graph Associated to Some Finite Groups

Sanhan Muhammad Salih Khasraw,

Nor Haniza Sarmin,

Nur Idayu Alimon

et al. 2024

ARASET

View full text Add to dashboard Cite

Sombor index is a newly developed degree-based topological index which involves the degree of the vertex in a simple connected graph. The Sombor index is known as the square root of the sum of the squared degrees of two adjacent vertices in a graph. Meanwhile, the noncommuting graph associated to a group is a graph where its vertices are the non-central elements of the group and two vertices are adjacent if and only if they do not commute. In this study, a new notion called the Sombor polynomial is introduced. Then, the general formula of the Sombor index and the Sombor polynomial of the noncommuting graph associated to some finite groups are determined by using their definitions and some preliminaries. The groups involved in this research are the dihedral groups, the quasidihedral groups, and the generalized quaternion groups. The results found can help the chemists and biologists to predict the chemical and physical properties of the molecules without involving any laboratory work.

show abstract

“…Its formula is given in Definition 1. Many findings on the Sombor index have been determined since then, where they can be found in the previous studies [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Sombor Index and Sombor Polynomial of the Noncommuting Graph Associated to Some Finite Groups

Sanhan Muhammad Salih Khasraw,

Nor Haniza Sarmin,

Nur Idayu Alimon

et al. 2024

ARASET

View full text Add to dashboard Cite

show abstract

“…In [14], Gutman introduced a graph-based topological index named Sombor index. First, it was used in chemistry [15][16][17][18][19][20] and soon after grabbed the attention of mathematicians [21][22][23][24][25][26][27]. Network science used the modeling dynamical e ect of biology and social technological complex systems [28].…”

Section: Introductionmentioning

confidence: 99%

Nirmala and Banhatti‐Sombor Index over Tensor and Cartesian Product of Special Class of Semigroup Graphs

Ünal

2022

Journal of Mathematics

View full text Add to dashboard Cite

The Nirmala and first Banhatti-Sombor index which is originated from Sombor index is designated by N G = ∑ u v ∈ E G d u + d v and BSO 1 G = ∑ u v ∈ E G 1 / d u 2 + d v 2 , respectively. In this work, we calculated the Nirmala and Banhatti-Sombor index over the tensor and Cartesian product of a graph of an algebraic structure by presenting two different algorithms.

show abstract

“…Subsequently fascinated the interest of mathematicians. [16,23,26,[32][33][34]. Network science has exploited the dynamic effect of modeling complex systems in biology and social technology [38].…”

Section: Introductionmentioning

confidence: 99%

On Vertex-Degree-Based Indices of Monogenic Semigroup Graphs

Ünal

2022

Ikonion Journal of Mathematics

Self Cite

View full text Add to dashboard Cite

Albertson and the reduced Sombor indices are vertex-degree-based graph invariants that given in [5] and [18], defined as Alb(G)=\sum_{uv\in E(G)}\left|d_{u}-d_{v}\right|, SO_{red}(G)=\sum_{uv\in E(G)}\sqrt{(d_{u}-1)^{2}+(d_{v}-1)^{2}}, respectively. In this work we show that a calculation of Albertson and reduced Sombor index which are vertex-degree-based topological indices, over monogenic semigroup graphs.

show abstract

An Application of Sombor Index over a Special Class of Semigroup Graph

Abstract: Recently, Gutman introduced a class of novel topological invariants named Sombor index which is defined as S O G = ∑ … Show more

Cited by 4 publications

References 19 publications

Sombor Index and Sombor Polynomial of the Noncommuting Graph Associated to Some Finite Groups

Sombor Index and Sombor Polynomial of the Noncommuting Graph Associated to Some Finite Groups

Nirmala and Banhatti‐Sombor Index over Tensor and Cartesian Product of Special Class of Semigroup Graphs

On Vertex-Degree-Based Indices of Monogenic Semigroup Graphs

Contact Info

Product

Resources

About