… In this section we give a survey on upper and lower bounds for the first Zagreb index M1 of (n,
m)-… First, we deal with the upper bounds on M1. Székely et al. [95] gave the following upper …

… In this paper we obtain an upper bound on the first Zagreb index M1(G) of G in terms of the
… bound on the second Zagreb index. Moreover, we present analogous upper bounds on M1(…

… for these indices. For other undefined notations and … Bounds on Zagreb indices and co-indices
In this section, we derived the bounds for the relations connecting the Zagreb co-indices …

… bounds of these hyperZagreb indices, and provide the relation between Zagreb indices and
hyper Zagreb indices. … relation between hyper Zagreb indices and first Zagreb index M1(G). …

… bounds, which attain equality for and only for regular graphs. We also establish sharp lower
bound for variable first and second Zagreb indices… lower bounds for variable Zagreb indices. …

… Zagreb index M, is equal to the sum of the products of the degrees of pairs of adjacent
vertices. We provide upper bounds for the Zagreb indices M … for which the bounds are attained. …

… In Section 2, we present lower and upper bounds on the first Zagreb index M1(G) and first
Zagreb … graphs at which the upper or lower bounds are attained. Also we give lower and upper …

… Zagreb index M2 is equal to the sum of products of degrees of pairs of adjacent vertices. New
upper bounds … connecting the second Zagreb index of a graph G and of its complement G . …

… The first Zagreb index M1 is one of the oldest and the most famous topological molecular …
In this paper we analyze and compare various upper bounds for the first Zagreb index involving …

… Zagreb index M2 is equal to the sum of the products of the degrees of pairs of adjacent vertices
of the respective graph. We give upper bounds for the Zagreb indices M1 … the bounds are …