On the reciprocal degree distance of graphs

DOI10.1016/j.dam.2011.11.032zbMath1242.05060OpenAlexW1969213465MaRDI QIDQ423929

Sheng Gui Zhang, Hong-Bo Hua

Publication date: 30 May 2012

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2011.11.032

zbMATH Keywords

extremal graphsboundsdegree distancereciprocal degree distancedistance (in graphs)

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Distance in graphs (05C12) Vertex degrees (05C07)

Related Items (30)

Some extremal properties of the multiplicatively weighted Harary index of a graph ⋮ The first Zagreb index, reciprocal degree distance and Hamiltonian-connectedness of graphs ⋮ Reformulated reciprocal degree distance of transformation graph ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Degree and distance based topological indices of graphs ⋮ On ordinary and weighted Harary indices of Mycielski graphs ⋮ Maximum reciprocal degree resistance distance index of unicyclic graphs ⋮ The asymptotic value of energy for matrices with degree-distance-based entries of random graphs ⋮ Reciprocal degree distance of product graphs ⋮ Reciprocal degree distance and graph properties ⋮ Asymptotic values of four Laplacian-type energies for matrices with degree-distance-based entries of random graphs ⋮ Some results on the reciprocal sum-degree distance of graphs ⋮ Four edge-grafting theorems on the reciprocal degree distance of graphs and their applications ⋮ Graphs having extremal monotonic topological indices with bounded vertex \(k\)-partiteness ⋮ On topological indices of graph transformation ⋮ Reformulated reciprocal degree distance of graph operations ⋮ Further results on the reciprocal degree distance of graphs ⋮ Unnamed Item ⋮ Maximum reciprocal degree resistance distance index of bicyclic graphs ⋮ Reformulated reciprocal degree distance and reciprocal degree distance of the complement of the Mycielskian graph and generalized Mycielskian ⋮ Comparative study of distance-based graph invariants ⋮ Product version of reciprocal degree distance of composite graphs ⋮ Unnamed Item ⋮ Harary index of bipartite graphs ⋮ A note on Steiner reciprocal degree distance ⋮ Degree distance based topological indices of some graph transforms ⋮ Weighted Harary indices of apex trees and \(k\)-apex trees ⋮ On the reformulated reciprocal sum-degree distance of graph transformations

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