Topological Indices in Fuzzy Graphs

N. K. Raut

Abstract: The fuzzy first Zagreb index M1(G) is defined as the sum of the product of the membership value of the vertex u and the square of the degree of the vertex. The fuzzy second Zagreb index M2(G) is defined as half of the sum of the products of the degrees of adjacent vertices and the membership value of fuzzy graph. In this paper, first, second Zagreb indices, forgotten-index, Randi? index, harmonic index, Sombor index, Nirmala index, first entire Zagreb index, hyper Zagreb index and second reduced Zagreb index of fuzzy graph, complement fuzzy graph, complete fuzzy graph, complete bipartite fuzzy graph, wheel fuzzy graph and anti-fuzzy graph are studied.

Keywords: Anti-fuzzy, complement, complete, complete bipartite, fuzzy graph, fuzzy topological indices, Randi? index, Sombor index, wheel graph

How to Cite?: N. K. Raut, "Topological Indices in Fuzzy Graphs", Volume 15 Issue 1, January 2026, International Journal of Science and Research (IJSR), Pages: 799-803, https://www.ijsr.net/getabstract.php?paperid=MR26112152437, DOI: https://dx.doi.org/10.21275/MR26112152437