Results 1 to 10 of about 4,059,402 (265)
On the first Zagreb index and multiplicative Zagreb coindices of graphs [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 For a (molecular) graph G with vertex set V (G) and edge set E(G), the first Zagreb index of G is defined as , where dG(vi) is the degree of vertex vi in G. Recently Xu et al. introduced two graphical invariants and named as first multiplicative Zagreb
Das Kinkar Ch. +5 more
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On neighborhood Zagreb index of product graphs. [PDF]
J Mol Struct, 2021 There is powerful relation between the chemical behaviour of chemical compounds and their molecular structures. Topological indices defined on these chemical molecular structures are capable to predict physical properties, chemical reactivity and biological activity.
Mondal S, De N, Pal A.
europepmc +4 more sources
Assessing Graph Robustness through Modified Zagreb Index
Axioms, 2022 Graph robustness or network robustness is the ability that a graph or a network preserves its connectivity or other properties after the loss of vertices and edges, which has been a central problem in the research of complex networks.
Rui Chen, Jianping Li, Weihua He
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Generalized Zagreb index of product graphs [PDF]
Transactions on Combinatorics, 2019 The generalized Zagreb index is an extension of both ordinary and variable Zagreb indices. In this paper, we present exact formulae for the values of the generalized Zagreb index for product graphs.
Mahdieh Azari
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On the first Zagreb Index of Polygraphs
Electronic Notes in Discrete Mathematics, 2014 Abstract One of the most popular topological indices is the Zagreb index, introduced by Gutman and Trinajstic in 1972, which is the sum of squares of degree sequence of a (chemical) graph G. In this paper, we obtain an upper bound for the Zagreb index of polygraphs, rotagraphs and fasciagraphs.
Hossein Shabani, Reza Kahkeshani
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Nano-Zagreb Index and Multiplicative Nano-Zagreb Index of Some Graph Operations [PDF]
International Journal of Computing Science and Applied Mathematics, 2019 Let G be a graph with vertex set V(G) and edge set E(G). The Nano-Zagreb and multiplicative Nano-Zagreb indices of G are NZ(G) = \prod_{uv \in E(G)} (d^2(u) - d^2(v)) and N*Z(G) = \prod_{uv \in E(G)} (d^2(u) - d^2(v)), respectively, where d(v) is the degree of the vertex v.
Akbar Jahanbani, Hajar Shooshtary
openaire +3 more sources
Hyper-Zagreb index in fuzzy environment and its application [PDF]
HeliyonThe Zagreb indices (ZIs) are important graph invariants that are used extensively in many different fields in mathematics and chemistry, such as network theory, spectral graph theory, fuzzy graph theory (FGT) and molecular chemistry, etc. The hyper-ZI is
Sk Rabiul Islam +2 more
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A Novel/Old Modification of the First Zagreb Index [PDF]
Molecular Informatics, 2018 AbstractIn the seminal paper [I. Gutman, N. Trinajstić, Chem. Phys. Lett. 1972, 17, 535–538], it was shown that total electron energy ( ) of any alternant hydrocarbon depends on the sum of the squares of the degrees of the corresponding molecular graph. Nowadays, this sum is known as the first Zagreb index.
Akbar Ali
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Journal of the Archaeological Museum in Zagreb: series 3 — vol. XLVII
, 2014 Vjesnik Arheološkog muzeja u Zagrebu je arheološki godišnjak s vanjskim istorazinskim vrednovanjem. U njemu se objavljuju znanstveni, stručni i pregledni radovi iz pretpovijesne, antičke i srednjovjekovne arheologije, povijesti i numizmatike te drugih ...
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GTI-space : the space of generalized topological indices [PDF]
, 2008 A new extension of the generalized topological indices (GTI) approach is carried out torepresent 'simple' and 'composite' topological indices (TIs) in an unified way.
Matamala, Adelio R. +2 more
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