The Szeged index is a topological index used in the study of chemical graph theory. It is defined for a connected graph and is based on the distances between vertices in the graph. Specifically, the Szeged index, denoted as \( Sz(G) \), is calculated using the following approach: 1. For each edge \( e = uv \) in the graph \( G \), identify the vertices \( u \) and \( v \).
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