Trees with Minimum Weighted Szeged Index Are of a Large Diameter

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Weighted Szeged Index of Graphs

The weighted Szeged index of a connected graph G is defined as Szw(G) = ∑ e=uv∈E(G) ( dG(u) + dG(v) ) nu (e)n G v (e), where n G u (e) is the number of vertices of G whose distance to the vertex u is less than the distance to the vertex v in G. In this paper, we have obtained the weighted Szeged index Szw(G) of the splice graph S(G1, G2, y, z) and link graph L(G1, G2, y, z).

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ژورنال

عنوان ژورنال: Symmetry

سال: 2020

ISSN: 2073-8994

DOI: 10.3390/sym12050793