WIENER INDEX OF TREES OF GIVEN ORDER AND DIAMETER AT MOST

DOI10.1017/S0004972713000816zbMath1292.05102OpenAlexW2060659106MaRDI QIDQ5419382

Simon Mukwembi, Tomáš Vetrík

Publication date: 6 June 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972713000816

zbMATH Keywords

diameterWiener indexdegree distanceGutman index

Mathematics Subject Classification ID

Trees (05C05) Distance in graphs (05C12) Vertex degrees (05C07)

Related Items (17)

The maximum Wiener index of maximal planar graphs ⋮ The vertex version of weighted Wiener number for bicyclic molecular structures ⋮ On maximum Wiener index of trees and graphs with given radius ⋮ Further results on the Merrifield-Simmons index ⋮ Kemeny's constant and Wiener index on trees ⋮ An asymptotic resolution of a problem of Plesník ⋮ On the (reverse) cover cost of trees with some given parameters ⋮ On the peripheral Wiener index of graphs ⋮ The Steiner Wiener index of trees with a given segment sequence ⋮ Graphs with a given diameter that maximise the Wiener index ⋮ The Steiner \(k\)-Wiener index of graphs with given minimum degree ⋮ Bounding the \(k\)-Steiner Wiener and Wiener-type indices of trees in terms of eccentric sequence ⋮ Extremal trees with respect to the Steiner Wiener index ⋮ A few examples and counterexamples in spectral graph theory ⋮ On the Wiener indices of trees ordering by diameter-growing transformation relative to the pendent edges ⋮ Wiener Index and Remoteness in Triangulations and Quadrangulations ⋮ Distance-based indices of complete m-ary trees

Cites Work

• On the eccentric connectivity index of a graph
• On the degree distance of a graph
• The minimum degree distance of graphs of given order and size
• The edge-Wiener index of a graph
• Some extremal properties of the degree distance of a graph

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