Measuring peripherality extent in chemical graphs via graph operations

The vertex Zagreb indices of some graph operations

Carpathian Mathematical Publications ◽

10.15330/cmp.8.2.215-223 ◽

2016 ◽

Vol 8 (2) ◽

pp. 215-223 ◽

Cited By ~ 1

Author(s):

N. De

Keyword(s):

Explicit Formulas ◽

Zagreb Indices ◽

Graph Operations ◽

Chemical Graphs ◽

Explicit Expressions

Recently, Tavakoli et al. introduced a new version of Zagreb indices, named as vertex Zagreb indices. In this paper explicit expressions of different graphs operations of vertex Zagreb indices are presented and also as an application, explicit formulas for vertex Zagreb indices of some chemical graphs are obtained.

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Application of Corona Product of Graphs in Computing Topological Indices of Some Special Chemical Graphs

Handbook of Research on Applied Cybernetics and Systems Science - Advances in Computational Intelligence and Robotics ◽

10.4018/978-1-5225-2498-4.ch004 ◽

2017 ◽

pp. 82-101

Author(s):

Nilanjan De

Keyword(s):

Topological Indices ◽

Connectivity Index ◽

Eccentric Connectivity Index ◽

Molecular Graphs ◽

Mathematical Chemistry ◽

Graph Operations ◽

Eccentricity Index ◽

Chemical Graphs ◽

Product Of Graphs ◽

Corona Product

Graph operations play a very important role in mathematical chemistry, since some chemically interesting graphs can be obtained from some simpler graphs by different graph operations. In this chapter, some eccentricity based topological indices such as the total eccentricity index, eccentric connectivity index, modified eccentric connectivity index and connective eccentricity index and their respective polynomial versions of corona product of two graphs have been studied and also these indices of some important classes of chemically interesting molecular graphs are determined by specializing the components of corona product of graphs.

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On Hyper-Zagreb Index of Three Graph Operations

Journal of Computer and Mathematical Sciences ◽

10.29055/jcms/1009 ◽

2019 ◽

Vol 10 (2) ◽

pp. 301-309

Author(s):

A. Bharali ◽

Amitav Doley

Keyword(s):

Zagreb Index ◽

Graph Operations

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The Restricted Arc-Width of a Graph

The Electronic Journal of Combinatorics ◽

10.37236/1734 ◽

2003 ◽

Vol 10 (1) ◽

Author(s):

David Arthur

Keyword(s):

Unit Circle ◽

Single Point ◽

Minimum Width ◽

Graph Operations ◽

Function Mapping

An arc-representation of a graph is a function mapping each vertex in the graph to an arc on the unit circle in such a way that adjacent vertices are mapped to intersecting arcs. The width of such a representation is the maximum number of arcs passing through a single point. The arc-width of a graph is defined to be the minimum width over all of its arc-representations. We extend the work of Barát and Hajnal on this subject and develop a generalization we call restricted arc-width. Our main results revolve around using this to bound arc-width from below and to examine the effect of several graph operations on arc-width. In particular, we completely describe the effect of disjoint unions and wedge sums while providing tight bounds on the effect of cones.

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M-polynomial and topological indices of zigzag edge coronoid fused by starphene

Open Chemistry ◽

10.1515/chem-2020-0161 ◽

2020 ◽

Vol 18 (1) ◽

pp. 1362-1369

Author(s):

Farkhanda Afzal ◽

Sabir Hussain ◽

Deeba Afzal ◽

Saira Hameed

Keyword(s):

Graph Theory ◽

Chemical Properties ◽

Topological Indices ◽

Zigzag Edge ◽

Chemical Graph ◽

Chemical Graph Theory ◽

Chemical Graphs

AbstractChemical graph theory is a subfield of graph theory that studies the topological indices for chemical graphs that have a good correlation with chemical properties of a chemical molecule. In this study, we have computed M-polynomial of zigzag edge coronoid fused by starphene. We also investigate various topological indices related to this graph by using their M-polynomial.

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