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Comment on "Complete solution to a conjecture on Randic index"

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  • Pavlovic, Ljiljana

Abstract

In this paper we will show that the proof of Theorem 2.1 from "Complete solution to a conjecture on Randic index", by Xueliang Li, Bolian Liu and Jianxi Liu, European Journal of Operational Research 200, Issue 1, (2010), 9-13, is not correct. They tried to prove the conjecture given by M. Aouchiche, P. Hansen in "On a conjecture about the Randic index" (Discrete Mathematics, 307 (2), 2007, 262-265), but they failed in it. The mathematical model given by them is a problem of quadratic programming which they tried to solve by wrong use of linear programming. This error invalidates all further work.

Suggested Citation

  • Pavlovic, Ljiljana, 2010. "Comment on "Complete solution to a conjecture on Randic index"," European Journal of Operational Research, Elsevier, vol. 207(1), pages 539-542, November.
    • Handle: RePEc:eee:ejores:v:207:y:2010:i:1:p:539-542
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    References listed on IDEAS

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    1. Li, Xueliang & Liu, Bolian & Liu, Jianxi, 2010. "Complete solution to a conjecture on Randic index," European Journal of Operational Research, Elsevier, vol. 200(1), pages 9-13, January.
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