Counterexamples to Conjectures on Graphs with the Greatest Edge–Szeged Index

نویسنده

  • Dragan Stevanović
چکیده

Recently, it was conjectured by Gutman and Ashrafi that the complete graph Kn has the greatest edge-Szeged index among simple graphs with n vertices. This conjecture turned out to be false, but led Vukičević to conjecture the coefficient 1/15552 of n6 for the approximate value of the greatest edge-Szeged index. We provide counterexamples to this conjecture.

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تاریخ انتشار 2012