Remarks on first Zagreb indices
Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 1, pp. 71-75

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Let $G$ be an undirected connected graph with $n\ge2$ vertices and $m$ edges. In this paper we are concerned with inequalities that reveal connections between graph invariants called first Zagreb index and reformulated first Zagreb index. Some of the obtained results represent generalization of the known inequalities.
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I. Ž. Milovanović; E. I. Milovanović. Remarks on first Zagreb indices. Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 1, pp. 71-75. http://geodesic.mathdoc.fr/item/VMJ_2016_18_1_a8/