first Zagreb index
On the second order first zagreb index
... order first Zagreb ...order first Zagreb index of line graphs of subdivision graphs of 2D-lattice, nanotube and nanotorus of [ , ], tadpole graphs, wheel graphs and ladder ...
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An Upper Bound on the First Zagreb Index in Trees
... The first Zagreb index can be also expressed as the sum of vertex degree over edges of G, that is, M 1 ( G ) = uv E ( G ) ( d u d v ...the first Zagreb coindex, as M 1 ( G ) = ...
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Note on Properties of First Zagreb Index of Graphs
... Throughout this paper graph means simple connected graphs. Let G be a connected graph with vertex and edge sets V(G) and E(G), respectively. As usual, the degree of a vertex u of G is denoted by deg(u) and it is defined ...
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On computational Aspects of Bismuth Tri-Iodide
... of Zagreb polynomials for Bismuth Tri- Iodide and then we computed redefined zagreb indices as ...topological index can be regarded as a score function which maps each molecular structure to a real ...
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Some Invariants of Cartesian Product of a Path and a Complete Bipartite Graph
... the first Zagreb index and the second Zagreb index give greater weights to the inner vertices and edges, and smaller weights to the outer vertices and edges which oppose intuitive ...
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Extremal trees with respect to some versions of Zagreb indices via majorization
... The first Zagreb index, introduced by Gutman and Trinajstić [14], is an important topological index in mathematical ...This index is used by various researchers in QSPR/ QSAR studies ...
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The First and Second Zagreb Indices of Degree Splitting of Graphs
... Let G be simple graph. The first Zagreb index is the sum of squares of degree of vertices and second Zagreb index is the sum of the products of the degrees of pairs of[r] ...
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Some new results on multiplicative topological indices
... topological index. A newly devised index characterizing the topological nature of structural isomers of saturated hydrocarbons, ...The first Zagreb index 30 years after, ...
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Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs
... the First Zagreb index, Second Zagreb index, Randić connectivity index, sum-connectivity index, Geometric-Arithmetic index and Atom-Bond Connectivity index ...
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Topological Indices of Cetirizine
... index, First Zagreb index, Second Zagreb index, First Multiple Zagreb index, Second Multiple Zagreb index, Augmented Zagreb ...
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The multiply version of Zagreb indices of a family of molecular graph "polycyclic aromatic hydrocarbons (PAHS)"
... Let G is an arbitrary simple, connected, graph, with the vertex set V(G) and edge set E(G). In chemical graph theory, we have many invariant polynomials and topological indices for a molecular graph, with applied in ...
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On Topological Indices of Circumcoronene Series of Benzenoid
... the first Zagreb index as the Multiplicative Zagreb Eccentricity index that introduced by Nilanjan De and ε(u) is the largest distance between u and any other vertex v of ...topological ...
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On the first variable Zagreb index
... to first Zagreb index. This index has been used to study molecular complexity, chirality, ZE-isomerism and ...Overall, Zagreb indices exhibit a potential applicability for deriving ...
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Computing Certain Topological Indices of Generalised Mycielskian Graphs
... hyper Zagreb index, reformulated first Zagreb index, redefined Zagreb index, irregularity of graphs of generalised Mycielskian transformation of a connected graph in terms ...
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On topological properties of probabilistic neural network
... the Zagreb indices are oldest and extremely studied vertex degree-based topological indices and were introduced by Gutman and Trinajesti´c in 1972 [1], to study the total π-electron energy (ε) of carbon atoms and ...
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The Edge Version of Degree Based Topological Indices of p NAqp Nanotube
... Sum-connectivity index . In the de- finition of Randić’s branching index they replaced the product deg u ( ) × deg v ( ) of vertex degrees with the sum deg u ( ) + deg v ( ) and get Sum-connectivity ...
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Extremal trees with respect to the first and second reformulated Zagreb index
... the first reformulated Zagreb index in the class of trees and bicyclic graphs by introducing some graph operations which increase or decrease this ...the first reformulated Zagreb ...
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The Hyper-Zagreb Index of Graph Operations
... topological index Top(G) of a graph G, is a number with this property that for every graph H isomorphic to G, Top(H) = ...Wiener index, and used it to determine physical properties of types of alkanes known ...
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EXTREMAL HYPER ZAGREB INDEX FOR TRICYCLIC GRAPHS
... the first hyper-Zagreb index in the set of all connected tricyclic ...graphs. First we intro- duced the transformations which strictly increases the first hyper-Zagreb ...
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Vol 9, No 1 (2018)
... hyper-Zagreb index is defined as 𝐻𝑍(𝐺) = ∑ 𝑢𝑣∈𝐸(𝐺) [𝑑 𝐺 (𝑢) + 𝑑 𝐺 (𝑣)] 2 ...hyper-Zagreb index and other degree based topological indices like the Forgotten index, Zagreb and ...
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