International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Physics | India | Volume 13 Issue 11, November 2024 | Popularity: 4.3 / 10


     

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

N. K. Raut


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.


Keywords: Degree, Dutch windmill graph, fifth Zagreb index, line graph, multiplicative index, reciprocal index, sum degree


Edition: Volume 13 Issue 11, November 2024


Pages: 568 - 571


DOI: https://www.doi.org/10.21275/ES241016103053



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N. K. Raut, "On Some Topological, Reciprocal Indices and Polynomials of Line Graph of Dutch Windmill Graph", International Journal of Science and Research (IJSR), Volume 13 Issue 11, November 2024, pp. 568-571, URL: https://www.ijsr.net/getabstract.php?paperid=ES241016103053, DOI: https://www.doi.org/10.21275/ES241016103053



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