Aldemir, Mehmet Serif2025-05-102025-05-1020180974-165810.17654/DM019020071https://doi.org/10.17654/DM019020071https://hdl.handle.net/20.500.14720/6066Recently a novel degree based topological index, reduced second Zagreb index, defined for any connected graph as follows: RM2 = Sigma(uv is an element of E(G)) (d(u) - 1)(d(v) - 1) where d(u) and d(v) are the number of edges incident to the vertices u and v, respectively. We determine the minimum and maximum reduced second Zagreb index in the class of n-vertex unicyclic graphs and characterize the corresponding extremal graphs.eninfo:eu-repo/semantics/closedAccessReduced Second Zagreb IndexUnicyclic GraphsZagreb IndicesArticle192N/AN/A7181WOS:000440248500001