The Second Multiplicative Zagreb Index
The Multiplicative Zagreb Indices of Nanostructures and Chains
... Wiener index, Szeged index, PI index, and other degree-based or distance- based indices of molecular graphs, while the study of the first and second multiplicative Zagreb ...
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Zagreb, multiplicative Zagreb Indices and Coindices of graphs
... T h and connected. Let G=(V,E) be a simple e graphs considered in this paper are simple connected graph with vertex set V and edge set E. A topological index is a fixed number under graph automorphisms. Gutman and ...
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On topological properties of probabilistic neural network
... general Zagreb index or (a, b)-Zagreb ...this index. Based on multiplicative version second Zagreb index and multiplicative version sum Zagreb ...
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Multiplicative Connectivity Indices of Certain Nanotubes
... some multiplicative connectivity indices of a graph. A topological index is a numeric quantity from the structural graph of a ...first multiplicative Zagreb index, multiplicative ...
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On Topological Indices of Circumcoronene Series of Benzenoid
... 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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Trees with Extreme Values of Second Zagreb Index and Coindex
... Lemma 2.3. If T be a tree with at least one vertex of degree α and one vertex of degree β , 2 ≤ α < β ≤ ∆ − 1, then its second Zagreb index cannot be maximal. Proof. Let x, y ∈ V (T ) such that ...
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Some new results on multiplicative topological indices
... topological index” as a multiplicative graph invariant to represent the features of carbon atom skeleton of saturated chemical compounds mainly ...„Narumi-Katayama index‟ or index. This ...
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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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The multiplicative Zagreb indices of graph operations
... Throughout this paper, we consider simple graphs which are finite, indirected graphs with- out loops and multiple edges. Suppose G is a graph with a vertex set V (G) and an edge set E(G). For a graph G, the degree of a ...
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On multiplicative Zagreb indices of graphs
... The goal of this section is computing the truncated Zagreb indices of an infinite class of dendrimers. To do this, we use Theorems 2 and 3. The truncated Zagreb indices for other classes of dendrimers, can ...
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Some Topological Indices of Edge Corona of Two Graphs
... The corona [9] of two graphs G and H is the graph obtained by taking one copy of G, |V(G)| copies of H and joining i-th vertex of G to every vertex in the i-th copy of H. The edge corona [17] of two graphs G and H ...
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The multiply version of Zagreb indices of a family of molecular graph "polycyclic aromatic hydrocarbons (PAHS)"
... In this section, we focus on the structure of hydrocarbon structures and counting the First Multiple Zagreb index and Second Multiple Zagreb index of Polycyclic Aromatic Hydrocarbons ...
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Extremal trees with respect to the first and second reformulated Zagreb index
... reformulated Zagreb index of graphs with connectivity at most k and characterized the corresponding extremal ...on Zagreb and reformulated Zagreb indices of simple ...
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A New Multiplicative Arithmetic-Geometric Index
... A molecular graph is a graph such that its vertices correspond to the atoms and the edges to the bonds. Chemical graph theory is a branch of Mathematical chemistry which has an important effect on the development of the ...
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Some inequalities for the Kirchhoff index of graphs
... Kirchhoff index is not always possible, it is useful to know approximating expressions, ...and multiplicative first Zagreb index, Π 1 ...
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On the Multiplicative Zagreb Indices of Bucket Recursive Trees
... Bucket recursive trees are an interesting and natural generalization of ordinary recursive trees and have a connection to mathematical chemistry. In this paper, we give the lower and upper bounds for the moment ...
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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 of ...
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Reverse Zagreb indices of corona product of graphs
... reverse Zagreb alpha index, first reverse Zagreb beta index and second reverse Zagreb index of corona product of two simple graphs and we have derived these indices for t ...
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Computation of Reduced Zagreb and Multiplicative Reduced Zagreb Indices of Titania Nanotubes
... first Zagreb index, multiplicative reduced first Zagreb index, multiplicative reduced modified first Zagreb index and multiplicative reduced F-index ...
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ZAGREB INDICES AND MULTIPLICATIVE ZAGREB INDICES OF DOUBLE GRAPHS OF SUBDIVISION GRAPHS
... The following result gives these two indices for some very frequently used graph classes: Corollary 2.1. Let G be one of the path, cycle, star, complete, complete bipartite or tad- pole graphs. Then the first and ...
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