New Local Vertex Invariants and Molecular Descriptors Based on Functions of the Vertex Degrees

By Roberto Todeschini, Viviana Consonni. 2010

170 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/936f16e28af666853e6888055b23ab75c95563f1

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Citations in the corpus

On the first Zagreb index and multiplicative Zagreb coindices of graphs (2016, background): “Recently, the first and second multiplicative Zagreb indices [11, 18, 19] are defined as follows: ∏”
Trees, Unicyclic, and Bicyclic Graphs Extremal with Respect to Multiplicative Sum Zagreb Index ∗ (2012, unknown): “[18, 20] have proposed the multiplicative variants of ordinary Zagreb indices, which are defined as follows: ∏ 1 = ∏ 1(G) = ∏ v∈V (G) dG(v) (2), ∏ 2 = ∏ 2(G) = ∏ uv∈E(G) dG(u)dG(v).”
Drug discovery with explainable artificial intelligence (2020, background): “Many recent studies also rely on well-established molecular descriptors, such as hashed binary ﬁngerprints 193,194 and topochemical and geometrical descriptors, 195,196 which capture structural features deﬁned a priori .”
Maximizing the Zagreb indices of (n;m)-graphs 1 (2014, unknown): “In recent years, some novel variants of ordinary Zagreb indices have been introduced and studied, such as Zagreb coindices [1, 2], multiplicative Zagreb indices [13, 24, 29], multiplicative sum Zagreb index [10, 27] and multiplicative Zagreb coindices [28].”
On the multiplicative Zagreb coindex of graphs (2013, background): “Nowadays several multiplicative versions of Zagreb indices are introduced ([9, 20, 22]) and extensively studied ([10, 26, 27]).”
On Vertex–Degree–Based Molecular Structure Descriptors (2011, background): “In the recent years, in mathematical chemistry it became a popular practice to introduce novel molecular structure descriptors (topological indices), see, for instance, [1–20].”
A Unified Approach to Extremal Multiplicative Zagreb Indices for Trees, Unicyclic and Bicyclic Graphs ∗ (2012, unknown): “[16, 18] have proposed the multiplicative variants of ordinary Zagreb indices, which are defined as follows: ∏ 1 = ∏ 1(G) = ∏ v∈V (G) dG(v) (2), ∏ 2 = ∏ 2(G) = ∏ uv∈E(G) dG(u)dG(v).”