On Use of the Variable Zagreb vM2 Index in QSPR: Boiling Points of Benzenoid Hydrocarbons

Abstract

The variable ZagrebHowever, the multivariate regression with two-, three-and four-descriptors gives improved models, the best being the model with four-descriptors (but v M 2 index is not among them) with S fit =5 o C, though the four-descriptor model contaning v M 2 index is only slightly inferior (S fit =5.3 o C).

Computational and analytical studies of the Randić index in Erdös–Rényi models

“…Let us consider the Erdös-Rényi model G(n, p). Almost every graph This fact and (11) allow to obtain the result. Corollary 6.…”

CMMSE 18: geometric-arithmetic index and line graph

“…It is remarkable to realize that the second variable Zagreb index M α 2 with exponent α = −1 (and to a lesser extent with exponent α = −2) performs significantly better than the Randić index (R = M −1/2 2 ). The second variable Zagreb index is used in the structure-boiling point modeling of benzenoid hydrocarbons [25]. Also, variable Zagreb indices exhibit a potential applicability for deriving multi-linear regression models.…”

Relationship between the eccentric connectivity index and Zagreb indices

“…Later, the Zagreb indices were elaborated in [11] and used in the structure-property model [2]. The first Zagreb index M 1 (G) and the second Zagreb index M 2 (G) of graph G (see [2,[10][11][12][13][14][15][16][17][18][19][20][21][22] and the references therein) are among the oldest and most studied topological indices. They are defined as: Table 1 Values of ξ C , M 1 and M 2 for the chemical tree T .…”