Distance property of 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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Sombor index of chemical graphs

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126018 ◽

2021 ◽

Vol 399 ◽

pp. 126018

Author(s):

Roberto Cruz ◽

Ivan Gutman ◽

Juan Rada

Keyword(s):

Chemical Graphs

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A New Distance Property Analysis Algorithm for FTFs in DFH Systems

2012 International Conference on Computer Science and Electronics Engineering ◽

10.1109/iccsee.2012.111 ◽

2012 ◽

Author(s):

Pan Kegang ◽

Zhao Kun ◽

Liu Aijun ◽

Zhang Bangning

Keyword(s):

Analysis Algorithm ◽

Property Analysis ◽

Distance Property

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Comparative Study of Valency-Based Topological Indices for Tetrahedral Sheets of Clay Minerals

Current Organic Synthesis ◽

10.2174/1570179418666210709094729 ◽

2021 ◽

Vol 18 ◽

Author(s):

Hassan Raza ◽

Muhammad Faisal Nadeem ◽

Ali Ahmad ◽

Muhammad Ahsan Asim ◽

Muhammad Azeem

Keyword(s):

Pure Sciences ◽

Comparative Study ◽

Clay Minerals ◽

Chemical Compound ◽

Topological Indices ◽

Natural Phenomena ◽

Chemical Graphs ◽

Degree Of A Vertex ◽

Long Time

: Intercapillary research in mathematics and other pure sciences areas has always helped humanity quantify natural phenomena. This article also contributes to which valency-based topological indices are implemented on tetrahedral sheets of clay minerals. These indices have been used for a long time and are considered the most powerful tools to quantify chemical graphs. The atoms in the chemical compound and the bonds between the atoms are depicted as the graph’s vertices and edges, respectively. The valency (or degree) of a vertex in a graph is the number of edges incident to that vertex. In this article, various degree-based indices and their modifications are determined to check each types’ significance.

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On the average distance property of compact connected metric spaces

Archiv der Mathematik ◽

10.1007/bf01192812 ◽

1983 ◽

Vol 40 (1) ◽

pp. 459-463 ◽

Cited By ~ 18

Author(s):

Sidney A. Morris ◽

Peter Nickolas

Keyword(s):

Metric Spaces ◽

Average Distance ◽

Distance Property ◽

Average Distance Property

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The Szeged index and the Wiener index of partial cubes with applications to chemical graphs

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.04.011 ◽

2017 ◽

Vol 309 ◽

pp. 324-333 ◽

Cited By ~ 2

Author(s):

Matevž Črepnjak ◽

Niko Tratnik

Keyword(s):

Wiener Index ◽

Szeged Index ◽

Chemical Graphs

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Chemical Graphs

Mathematical Concepts in Organic Chemistry ◽

10.1007/978-3-642-70982-1_4 ◽

1986 ◽

pp. 19-22

Author(s):

Ivan Gutman ◽

Oskar E. Polansky

Keyword(s):

Chemical Graphs

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F-Indices and its coindices of some classes of graphs

Creative Mathematics and Informatics ◽

10.37193/cmi.2017.02.09 ◽

2017 ◽

Vol 26 (2) ◽

pp. 201-210

Author(s):

K. Pattabiraman

Keyword(s):

Exact Expression ◽

Chain Graph ◽

Basic Properties ◽

Chemical Graphs

In this paper, first we investigate the basic properties of the F-index and its coindex of graph. Next we obtain the exact expression of F-indices and its coindices for bridge graph, chain graph and transformation of graph. Using some of these results, we have obtained the value of these indices for some important classes of chemical graphs.

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Applications of isometric embeddings to chemical graphs

Discrete Mathematical Chemistry - DIMACS Series in Discrete Mathematics and Theoretical Computer Science ◽

10.1090/dimacs/051/18 ◽

2000 ◽

pp. 249-259 ◽

Cited By ~ 12

Author(s):

Sandi Klavžar

Keyword(s):

Isometric Embeddings ◽

Chemical Graphs

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Omega, Sadhana, and PI Polynomials of Quasi-Hexagonal Benzenoid Chain

Journal of Analytical Methods in Chemistry ◽

10.1155/2020/9057815 ◽

2020 ◽

Vol 2020 ◽

pp. 1-6

Author(s):

Nazeran Idrees ◽

Muhammad Jawwad Saif ◽

Sumiya Nasir ◽

Fozia Bashir Farooq ◽

Asia Rauf ◽

...

Keyword(s):

Linear Chain ◽

Graph Invariants ◽

Hexagonal Chain ◽

Pi Index ◽

Chemical Graphs

Counting polynomials are important graph invariants whose coefficients and exponents are related to different properties of chemical graphs. Three closely related polynomials, i.e., Omega, Sadhana, and PI polynomials, dependent upon the equidistant edges and nonequidistant edges of graphs, are studied for quasi-hexagonal benzenoid chains. Analytical closed expressions for these polynomials are derived. Moreover, relation between Padmakar–Ivan (PI) index of quasi-hexagonal chain and that of corresponding linear chain is also established.

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