Szeged polynomial and edge szeged polynomialof certain special molecular graphs

摘要

The Szeged polynomial and edge Szeged polynomial aredistance-based topological parameters which reflect certain structural features of organic molecules. Each structural feature of such organic moleculecan be expressed as a graph. In this paper, we determine theSzeged polynomial and edge Szeged polynomialof fan molecular graph, wheel molecular graph, gear fan molecular graph, gear wheel molecular graph, and their r-corona molecular graphs.