Zudem konnten sie beweisen, dass für dieses Problem kein Polynomialzeitapproximation... existiert, also in Polynomialzeit keine beliebig gute Lösung gefunden werden kann.
Schließlich gaben sie noch einen Polynomialzeitalgorithmus an, der das Problem Maximum Betweenness Centrality auf Baumgraphen optimal löst.
Weitere Informationen liefern der Konferenzartikel und die Vortragsfolien.
www1.informatik.uni-wuerzburg.deAdditionally they showed that Maximum Betweenness Centrality does not admit a polynomial time approximation scheme, which means that an arbitrarily good approximation cannot be found in polynomial time.
Finally, they gave a polynomial time algorithm for solving the problem optimally on tree graphs.
More information can be found in the conference article and the slides of the talk.
www1.informatik.uni-wuerzburg.deYou can suggest improvements to this PONS entry here:
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