The two Zagreb indices M1=∑vd(v)2 and M2=∑uvd(u)d(v) are vertex-degree-based graph invariants that have been introduced in the 1970s and extensively studied ever since. In the last few years, a variety of modifications of M1 and M2 were put forward. The present survey of these modified Zagreb indices outlines their main mathematical properties, and provides an exhaustive bibliography.
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Gutman et al. (2018) studied this question.
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