o:29026 Some new lower bounds for the Kirchhoff index of a graph en Absract: Let G be a simple connected graph with n vertices and m edges and d_1≥d_2≥⋯≥d_n>0 its sequence of vertex degrees. If μ_1≥μ_2≥⋯≥μ_n=0 are the Laplacian eigenvalues of G, then the Kirchhoff index of G is Kf(G)=n∑_(i=1)^(n-1)▒1/μ_i . We profe some new lower bounds for Kf(G) in terms of the parameters Δ=d_(1 ),Δ_2=d_2,Δ_3=d_3,δ=d_n,δ_2=d_(n-1) and the topological index NK=∏_(i=1)^n▒d_i . Keywords: Kirchhoff index, Laplacian eigenvalues(of a graph), vertex degree 1552099 10.1017/S0004972717000831 1552101 0004-9727 2023-05-04T10:54:02.614Z 44 no 46 Igor Milovanović 0000-0003-2209-9606 Marjan Matejić person Edin Glogić Državni univrtzitet u Novom Pazaru person 0000-0001-6295-8298 Emina Milovanović person application/pdf 167886 https://phaidrabg.bg.ac.rs/o:29026 no yes 1 70 92000001 20A01 Bulletin of the Australian Mathematical Society 97 1 1 10 2018