o:29035 On some lower bounds for the Kirchhoff index en Abstract: Let G=(V,E),V={1,2,…,n}, be a simple connected graph of order n and size m, with sequence of vertex degrees degree 〖Δ=d〗_1≥d_2≥⋯≥d_n=δ >0 , d_i=d(i). Denote by μ_1≥μ_2≥⋯≥μ_n=0 the Laplacian eigenvalues of G. Further, denote with Kf(G)=n∑_(i=1)^(n-1)▒1/μ_i and τ(G)=1/n ∏_(i=1)^(n-1)▒μ_i , the Kirchhoff index and the number of spanning trees of G, respectively. In this paper we determine several lower bounds for Kf(G) depending on τ(G) and some of the graph parameters n, m od Δ. Keywords: Topological indices, vertex degree, Kirchhoff index 1552101 2217-5539 2023-05-04T12:21:15.917Z 44 no 46 Edin Glogić Državni univerzitet u Novom Pazaru 0000-0001-6295-8298 Marjan Matejić person I. Ž. Milovanović person 0000-0003-2209-9606 E. I. Milovanović person 0000-0002-1905-4813 application/pdf 49758 https://phaidrabg.bg.ac.rs/o:29035 no yes 1 70 92000001 20A01 Scientific Publications of the State University of Novi Pazar, Ser. A: Appl. Math. Inform. and Mech. 10 2 107 114 2018