On Some Topological, Reciprocal Indices and Polynomials of Line Graph of Dutch Windmill Graph

First Zagreb polynomial, first multiplicative Zagreb index and reciprocal first Zagreb index of a graph G with vertex set V(G) and edge set E(G) are defined as M1(G,x) = ?_(uv?E(G) )?x^(d_u+ d_v) , M1II(G) = ?_(uv?E(G) ) d_u? d_v and RM1(G) = ?_(uv?E(G) )?(1 )/(d_u+ d_v ) respectively [1-3]. In this paper fifth versions of (M1, M2, M3, hyper M1, hyper M2)-Zagreb polynomials and multiplicative (M1, M2, hyper M1, hyper M2)-Zagreb indices and reciprocal (M1, M2, hyper M1, hyper M2)-Zagreb indices are investigated for line graph of Dutch windmill graph.

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Publication Details

Journal
International Journal of Science and Research (IJSR)
Published
2024-11-05
DOI
https://doi.org/10.21275/es241016103053
Primary Topic
Graph theory and applications
Type
article
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article

On Some Topological, Reciprocal Indices and Polynomials of Line Graph of Dutch Windmill Graph

N K Raut
International Journal of Science and Research (IJSR)
Graph theory and applications
article

On Some Topological, Reciprocal Indices and Polynomials of Line Graph of Dutch Windmill Graph

N K Raut
article en

Abstract

First Zagreb polynomial, first multiplicative Zagreb index and reciprocal first Zagreb index of a graph G with vertex set V(G) and edge set E(G) are defined as M1(G,x) = ?_(uv?E(G) )?x^(d_u+ d_v) , M1II(G) = ?_(uv?E(G) ) d_u? d_v and RM1(G) = ?_(uv?E(G) )?(1 )/(d_u+ d_v ) respectively [1-3]. In this paper fifth versions of (M1, M2, M3, hyper M1, hyper M2)-Zagreb polynomials and multiplicative (M1, M2, hyper M1, hyper M2)-Zagreb indices and reciprocal (M1, M2, hyper M1, hyper M2)-Zagreb indices are investigated for line graph of Dutch windmill graph.

International Journal of Science and Research (IJSR)Vol. 13(11)
Solid State Physics Laboratory (IN)
Openalex Percentile: Top 69%
Graph theory and applications
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