M-polynomial - Open Access .click

The European Physical Journal Plus, 2021
A molecular structure can be described by a parameter, polynomial or matrix. The physico-chemical features, bio-activities of a chemical compound are predicted using the numerical descriptor called topological index. Topological indices remodel the data of molecular graphs into numerical characteristics which in turn improvises the discussion of ...
M. C. Shanmukha +3 more
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The M-polynomials of some Chemical Graphs

RESEARCH REVIEW International Journal of Multidisciplinary, 2022
The chemical graph theory (CGT)is one of the branches in mathematical chemistry. It is utilized to address the number of problems related to molecular theory which has its utilization in graph theory as an application. The CGT reduces the structure of the molecule to a single value which is used to mark either to its structural fragments, orbital’s ...
null B. K. Divyashree, null Jagadeesh R, null Siddabasappa +2 more
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On the \(M\)-polynomial of planar chemical graphs

2020
Summary: Let \(G\) be a graph and let \(m_{i,j}(G)\), \(i,j\geq 1\), be the number of edges \(uv\) of \(G\) such that \(\{d_v(G), d_u(G)\} = \{i,j\}\). The \(M\)-polynomial of \(G\) is \(M(G;x,y) = \sum_{i\leq j} m_{i,j}(G)x^iy^j\). With \(M(G;x,y)\) in hands, numerous degree-based topological indices of \(G\) can be routinely computed.
Deutsch, Emeric, Klavžar, Sandi
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M-Polynomial and topological indices of book graph

Journal of Discrete Mathematical Sciences and Cryptography, 2020
By utilizing the degree of the vertex of the graphs, M-polynomials of book graph obtained and examined in this paper.
Abdul Jalil M. Khalaf +4 more
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mathematics
topological indices
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chemistry
topological index
organic chemistry