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India | Mathematics and Informatics | Volume 14 Issue 10, October 2025 | Pages: 25 - 29
On Leap Zagreb Polynomials of Generalized Transformation Graphs
Abstract: In 2017, Naji et al. introduced the concept of leap Zagreb indices of a graph based on the second degree of vertices [1]. For a graph G, the leap first Zagreb polynomial is defined as:LM1(G,x) = ?_(uv?E(G) )?x^(d_2 (u)+d_2 (v)) ,where d_2 (v) is d2-distance degree of vertex v?V(G). In this paper leap first, second, hyper leap first and second Zagreb polynomials of some generalized transformation graphs G^xy, (G^xy ) ?, G^xyz and (G^xyz ) ? are studied in triangle with pendant edge graph and path graph P4 .
Keywords: Hyper leap Zagreb polynomial, generalized transformation graph, leap degree, leap Zagreb polynomial, line vertex, path graph, point vertex and triangle with pendant edge graph
How to Cite?: N. K. Raut, "On Leap Zagreb Polynomials of Generalized Transformation Graphs", Volume 14 Issue 10, October 2025, International Journal of Science and Research (IJSR), Pages: 25-29, https://www.ijsr.net/getabstract.php?paperid=MR25930150411, DOI: https://dx.doi.org/10.21275/MR25930150411