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

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.Graph theory Conjecture on Randic index Quadratic programming model Linear programming Errors in proof