On the Augmented Zagreb Index
By Akbar Ali, Z. Raza, A. Bhatti. 2014
166 citations recorded by the source corpus.
Topological indices play an important role in mathematical chemistry especially in the quantitative structure-property relationship (QSPR) and quantitative structure-activity relationship (QSAR). Recent research indicates that the augmented Zagreb index (AZI) possess the best correlating ability among several topological indices. The main purpose of the current study is to establish some mathematical properties of this index, or more precisely, to report tight bounds for the AZI of chemical bicyclic and chemical unicyclic graphs. A Nordhaus-Gaddum-type result for the AZI (of connected graph whose complement is connected) is also derived.
Subfields: Computational Theory and Mathematics, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/71536810d10b402f890aeed026ee5c8f7e5e06ae
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In Computational Theory and Mathematics
- Rundan Xing
- Juan Rada
- Roberto Cruz
- Bo Zhou
- Nenad Trinajstic
- Ivan Gutman
- Vladimir Nikiforov
- Boris Furtula
In Geometry and Topology
- Rundan Xing
- Bo Zhou
- Juan Rada
- Roberto Cruz
- Ivan Gutman
- Nenad Trinajstic
- Vladimir Nikiforov
- Boris Furtula
In Statistical and Nonlinear Physics
Citations in the corpus
- Augmented Zagreb Index of Connected Graphs (2012, unknown): “Then AZI(G) ≥ 64p 27 + 8(m− p) with equality holding if and only if e ∈ ∪(4)t=2{(2, t)} ∪ {(1, 4)} for all e ∈ E(G) .”
- Vertex-Degree-Based Topological Indices Over Graphs (2014, background): “Many of the well-known topological indices are particular cases of this expression ([5],[6],[18],[19],[20]).”
- Extremal trees with fixed degree sequence for atom-bond connectivity index (2012, background): “Then ABC 1 2 (G) = ABC(G), and ABC−3(G) is the augmented Zagreb index of G proposed in [13].”