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Comparison between Szeged indices of graphs

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Abstract The Szeged index Sz(G) of a simple connected graph G is the sum of the terms nu (e)nv (e) over all edges e = uv of G, where nu… Click to show full abstract

Abstract The Szeged index Sz(G) of a simple connected graph G is the sum of the terms nu (e)nv (e) over all edges e = uv of G, where nu (e) is the number of vertices of G lying closer to u than v, and nv (e) is defined analogously. The aim of this paper is to present some relationship between Szeged index and some of its variants such as the edge-vertex Szeged index, the vertex-edge Szeged index and revised Szeged index. Moreover, we obtain lower and upper bounds on the diļ¬€erence between vertex-edge Szeged index and edge-vertex Szeged index of unicyclic graphs.

Keywords: index; szeged index; vertex; szeged indices; indices graphs; comparison szeged

Journal Title: Quaestiones Mathematicae
Year Published: 2019

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