Predicting Some Physicochemical Properties of Octane Isomers: A Topological Approach Using &amp;lt;i&amp;gt;ev&amp;lt;/i&amp;gt;-Degree and &amp;lt;i&amp;gt;ve&amp;lt;/i&amp;gt;-Degree Zagreb Indices

Ediz, Süleyman

doi:10.11648/j.ijssam.20170205.12

Cited by 27 publications

(4 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The concepts of vertex-edge domination and edge-vertex domination were introduced by Peters [21] in his Ph.D. thesis and studied further in [4,9,18,19,27]. The following fundamental results which will be used in many of our subsequent considerations are found in the earlier papers [28] and [32].…”

Section: Basic Definitions and Notationsmentioning

confidence: 99%

On Vertex-Edge and Edge-Vertex Connectivity Indices of Graphs

PAWAR,

NAJI,

SONER

et al. 2024

KgJMat

View full text Add to dashboard Cite

Let G be a graph with vertex set V (G) and edge set E(G). The vertexedge degree of the vertex v, d e G (v), equals to the number of different edges that are incident to any vertex from the open neighborhood of v. Also, the edge-vertex degree of the edge e = uv, d v G (e), equals to the number of vertices of the union of the open neighborhood of u and v. In this paper, the vertex-edge connectivity index, ϕ v , and the edge-vertex connectivity index, ϕ e , of a graph G were introduced. These are defined as, where d G (v) is the degree of a vertex v ∈ V (G) and d G (e) is the number of edges in E(G) that are adjacent to e. In this paper, we will study the main properties of ϕ v (G), ϕ e (G) and establish some upper and lower bounds for them. The numbers ϕ v and ϕ e for titania nanotubes are also computed.

show abstract

Section: Basic Definitions and Notationsmentioning

confidence: 99%

On Vertex-Edge and Edge-Vertex Connectivity Indices of Graphs

PAWAR,

NAJI,

SONER

et al. 2024

KgJMat

View full text Add to dashboard Cite

show abstract

“…Later, Zhong 24 described Harmonic index and afterward Ediz et al 25 established the new Harmonic indices. The previous study, on the other hand, was completed using the conventional degree system.…”

Section: Introductionmentioning

confidence: 99%

On Degree-Based Topological Indices of Carbon Nanocones

2022

View full text Add to dashboard Cite

Topological descriptors are numerical numbers that are assigned to molecular structures and can predict certain physicochemical properties. Because of their importance in nanotechnology and as developing materials with practical uses, the topological properties of nanocones have received a lot of attention. In this paper, we discuss the ev-degree- and ve-degree-based topological indices for the generalized carbon nanocones, CNC r [s]. Furthermore, we find numerical computations for certain types of nanocones and plot these numerical results using Matlab programming.

show abstract

“…The authors defined these novel degree concepts in relation to the vertex-edge domination and the edge-vertex domination parameters [10][11][12]. The ev-degree and vedegree topological indices have been defined and their basic mathematical properties have been investigated [13][14][15]. It was showed that, ve-degree sum-connectivity index of octane isomers provides the highest value of correlation coefficient of the property of acentric factor than other well-known topological indices such as Zagreb, Randic, atom-bond connectivity, sum-connectivity indices [13].…”

Section: Introductionmentioning

confidence: 99%

On ve-degree atom-bond connectivity, sum-connectivity, geometric-arithmetic and harmonic indices of copper oxide

Cancan

Ediz

Farahani

2020

Eurasian Chem. Commun.

Self Cite

View full text Add to dashboard Cite

Topological indices are important tools to modeling chemical properties of molecules. ve-degree based atom-bond connectivity, sum-connectivity, geometric-arithmetic, and harmonic indices are defined as their corresponding classical degree based counterparts recently in chemical graph theory. In this study we investigate ve-degree atom-bond connectivity, sum-connectivity, geometric-arithmetic, and harmonic topological properties of copper oxide. We calculate exact values of these novel topological indices for copper oxide and give closed formulas. KEYWORDS Ve-degree atom-bond connectivity index; ve-degree sumconnectivity index; ve-degree geometric arithmetic index; vedegree harmonic index.

show abstract

Predicting Some Physicochemical Properties of Octane Isomers: A Topological Approach Using <i>ev</i>-Degree and <i>ve</i>-Degree Zagreb Indices

Cited by 27 publications

References 13 publications

On Vertex-Edge and Edge-Vertex Connectivity Indices of Graphs

On Vertex-Edge and Edge-Vertex Connectivity Indices of Graphs

On Degree-Based Topological Indices of Carbon Nanocones

On ve-degree atom-bond connectivity, sum-connectivity, geometric-arithmetic and harmonic indices of copper oxide

Contact Info

Product

Resources

About