Results 21 to 30 of about 19,763,523 (261)
Topological Properties of Degree-Based Invariants via M-Polynomial Approach
Journal of Mathematics, 2022 Chemical graph theory provides a link between molecular properties and a molecular graph. The M-polynomial is emerging as an efficient tool to recover the degree-based topological indices in chemical graph theory.
Samirah Alsulami +4 more
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A Novel/Old Modification of the First Zagreb Index [PDF]
Molecular Informatics, 2018 Abstract In the seminal paper [I. Gutman, N. Trinajstić, Chem. Phys. Lett . 1972 , 17 , 535–538], it was shown that total electron energy ( ) of any ...
Akbar Ali, Nenad Trinajstić
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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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On the first general Zagreb eccentricity index
AIMS Mathematics, 2021 In a graph <i>G</i>, the distance between two vertices is the length of the shortest path between them. The maximum distance between a vertex to any other vertex is considered as the eccentricity of the vertex. In this paper, we introduce the first general Zagreb eccentricity index and found upper and lower bounds on this index in terms of ...
Muhammad Kamran Jamil +3 more
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Bounds on Szeged and PI Indexes in terms of Second Zagreb Index [PDF]
, 2012 In this short note, we studied the vertex version and the edge version of the Szeged index and the PI index and obtained bounds for these indices in terms of the Second Zagreb index.
Ranjini P.S. +2 more
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On hyper–Zagreb index and coindex [PDF]
, 2017 Let G be a graph with vertex set V and edges set E. By d(v) is denoted the degree of its vertex v. Two much studied degree–based graph invariants are the first and second Zagreb indices.
Gutman, Ivan
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On the Bounds of the First Reformulated Zagreb Index [PDF]
Turkish Journal of Analysis and Number Theory, 2016 The edge version of traditional first Zagreb index is known as first reformulated Zagreb index. In this paper, we analyze and compare various lower and upper bounds for the first reformulated Zagreb index and we propose new lower and upper bounds which are stronger than the existing and recent results [Appl. Math. Comp. 273 (2016) 16-20].
T. Mansour +3 more
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Smarandache-Zagreb Index on Three Graph Operators [PDF]
, 2010 Many researchers have studied several operators on a connected graph in which one make an attempt on subdivision of its edges. In this paper, we show how the Zagreb indices, a particular case of Smarandache-Zagreb index of a graph changes with these ...
Ranjini, P.S., Lokesha, V.
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Indonesian Journal of Combinatorics, 2020 Dutch windmill graph [1, 2] and denoted by Dnm. Order and size of Dutch windmill graph are (n−1)m+1 and mn respectively. In this paper, we computed certain topological indices and polynomials i.e.
Salma Kanwal +4 more
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Some chemical indices related to the number of triangles [PDF]
Transactions on Combinatorics, 2023 Many chemical indices have been invented in theoretical chemistry, such as the Zagreb index, the Lanzhou index, the forgotten index, the Estrada index etc.
Mihrigul Wali
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