Convexity result and trees with large Balaban index

Balaban index is defined as J(G)=mm−n+2Σ1w(u)⋅w(v),$J\left( G \right)=\frac{m}{m-n+2}\Sigma \frac{1}{\sqrt{w\left( u \right)\cdot w\left( v \right)}},$ where the sum is taken over all edges of a connected graph G, n and m are the cardinalities of the vertex and the edge set of G, respectively, and w...

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Bibliographic Details
Main Authors: Knor Martin, Škrekovski Riste, Tepeh Aleksandra
Format: Article
Language:English
Published: Sciendo 2018-08-01
Series:Applied Mathematics and Nonlinear Sciences
Online Access:https://doi.org/10.21042/AMNS.2018.2.00034