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摘要
The paper is concerned with the inequality (lambda)M(1)(G)/n <= (lambda)M(2)(G)/m for the first and second generalized Zagreb indices of (m n) - graphs. It was conjectured that this inequality holds for general graphs, whenever lambda is in the interval [0 root 2/2], but the same was only partially proved. We prove that the inequality holds for every (m n) - graph and for every lambda from the interval (1/2 root 2/2].
- 出版日期2011
