… In [29, 28, 22] various properties and relations of the first general Zagreb index are discussed…
relations can be found also in the case of higher–order second general Zagreb indices, Mk …

… The original formulation of the Zagreb indices is presented and their relationship to … 0c
and 1c, the total walk count (twc) index77–79 and the polarity number (p3).The latter two …

… The Zagreb indices inequality is not valid for general graphs. For example, counter
examples can be constructed for connected bicyclic and tricyclic graphs [37, 40]. From these …

… that similar clustering is appeared in case of second Zagreb index, which is shown in Fig.
2b. Thus we consider following two models to explore the structure-property relationship. …

… Zagreb index M1 is equal to the sum of the squares of the degrees of the vertices, and the
second Zagreb index … The connected and disconnected counter examples of the relation (1.1) …

… of this relationship is the following result: The M1 index … We first studied the dependence of
the Zagreb indices M1 and … : (i) Zagreb indices increase with size, that is, M1 and M2 indices …

… quantitative structure activity relationships (QSAR) … Zagreb index and became well studied
topological index in the field of molecular graph theory. In this paper, for k ∈ N (set of counting …

… In [7] some combinatorial identities, relating Zp(G) with counts of various subgraphs … Stirling
number S(n, k) of the second kind counts the number of ways to partition a set of n elements …

… In this section we compare between the second Zagreb index ( M 2 ) and the eccentric
connectivity index ( ξ C ). Now we consider for any chemical tree T , whether it is true that M 2 ( T ) …

… , Q k , and T k , where k ≥ 1 is counting number. They also defined the generalized F-sums …
and 2nd Zagreb indices. In the present work, we compute the 1st general Zagreb index of the …