A Multiplicative Version of Forgotten Topological Index

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YOUSEFI ASGHAR; IRANMANESH ALI; A. Dobrynin Andrey; TEHRANIAN ABOLFAZL

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Journal: Mathematics Interdisciplinary Research Year:2019 | Volume:4 | Issue:2 Page(s): 193-211

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Title

A Multiplicative Version of Forgotten Topological Index

Author(s)

YOUSEFI ASGHAR | IRANMANESH ALI | A. Dobrynin Andrey | TEHRANIAN ABOLFAZL | Issue Writer Certificate

Keywords

Topological index

multiplicative forgotten topological index

graph operations

subdivision graphs

vertex-semitotal graphs

Abstract

Let G be a simple graph with vertex set V (G) and edge set E(G). The multiplicative forgotten Topological index of G are defined as: F (G) = Y v2V (G) dG(v)3; where dG(v) is the degree of the vertex v of G. In this paper, we present upper bounds for the multiplicative forgotten Topological index of several graph operations such as sum, Cartesian product, corona product, composition, strong product, disjunction and symmetric difference in terms of the F􀀀 index and the first Zagreb index of their components. Also, we give explicit formulas for this new graph invariant under two graph operations such as union and Tensor product. Moreover, we obtain the expressions for this new graph invariant of subdivision graphs and vertex – semitotal graphs. Finally, we compare the discriminating ability of indices.

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APA: Copy

YOUSEFI, ASGHAR, IRANMANESH, ALI, A. Dobrynin, Andrey, & TEHRANIAN, ABOLFAZL. (2019). A Multiplicative Version of Forgotten Topological Index. MATHEMATICS INTERDISCIPLINARY RESEARCH, 4(2), 193-211. SID. https://sid.ir/paper/748151/en

Vancouver: Copy

YOUSEFI ASGHAR, IRANMANESH ALI, A. Dobrynin Andrey, TEHRANIAN ABOLFAZL. A Multiplicative Version of Forgotten Topological Index. MATHEMATICS INTERDISCIPLINARY RESEARCH[Internet]. 2019;4(2):193-211. Available from: https://sid.ir/paper/748151/en

IEEE: Copy

ASGHAR YOUSEFI, ALI IRANMANESH, Andrey A. Dobrynin, and ABOLFAZL TEHRANIAN, “A Multiplicative Version of Forgotten Topological Index,” MATHEMATICS INTERDISCIPLINARY RESEARCH, vol. 4, no. 2, pp. 193–211, 2019, [Online]. Available: https://sid.ir/paper/748151/en

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