The paper shows that the sum of the first two eigenvalues exceeds 1.125n - 25, so exceeds n when n is sufficiently large. Thus Nikiforov has given a negative solution to the problem. (Note: I have not checked the claims of the paper thoroughly.)
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a negative solution
The paper shows that the sum of the first two eigenvalues exceeds 1.125n - 25, so exceeds n when n is sufficiently large. Thus Nikiforov has given a negative solution to the problem. (Note: I have not checked the claims of the paper thoroughly.)