Results 11 to 20 of about 19,763,523 (261)
On the first Zagreb index of graphs with Self-Loops
AKCE International Journal of Graphs and Combinatorics, 2023 AbstractSome of the most comprehensively studied degree-based topological indices are the Zagreb indices. The first Zagreb index [Formula: see text] of a graph G is defined as the sum of squares of the degrees of the vertices. Let [Formula: see text] and let [Formula: see text] be the graph obtained from the simple graph G, by attaching a self-loop to ...
Shashwath S. Shetty, Arathi Bhat K.
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New lower bounds for the first variable Zagreb index [PDF]
Discrete Applied Mathematics, 2022 17 ...
Álvaro Martínez-Pérez +1 more
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Computing First Zagreb index and F-index of New C-products of Graphs [PDF]
Applied Mathematics and Nonlinear Sciences, 2017 Abstract For a (molecular) graph, the first Zagreb index is equal to the sum of squares of the degrees of vertices, and the F-index is equal to the sum of cubes of the degrees of vertices. In this paper, we introduce sixty four new operations on graphs and study the first Zagreb index and F-index of the resulting graphs.
Basavanagoud, B. +5 more
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The First Zagreb Index, the Laplacian Spectral Radius, and Some Hamiltonian Properties of Graphs
MathematicsThe first Zagreb index of a graph G is defined as the sum of the squares of the degrees of all the vertices in G. The Laplacian spectral radius of a graph G is defined as the largest eigenvalue of the Laplacian matrix of the graph G.
Rao Li
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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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International Journal of Research in Pharmaceutical Sciences, 2022 Graph theory had wide applications in developing in silico tools and it is widely used to calculate topological indices to establish structural activity relations of chemicals/compounds.
Siva Parvathi M. +2 more
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Some properties of the neighborhood first Zagreb index [PDF]
Discrete Mathematics Letters, 2019 Summary: The neighborhood first Zagreb index \((N M_1)\) has been recently introduced for characterizing the topological structure of molecular graphs. In this study, we present some sharp bounds on the index \(NM_1\) and establish its relations with the first and second Zagreb indices in case of some special graphs.
Tamas Reti +3 more
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Zagreb indices of some chemical structures using new products of graphs [PDF]
Journal of Hyperstructures, 2023 Zagreb indices are one of the most extensively studied degree-based structural descriptors for analyzing various physicochemical properties of chemical compounds.
Liju Alex, Indulal Gopal
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Journal of Function Spaces, 2022 Our objective is to compute the neighborhood degree-based topological indices via NM-polynomial for starphene. In the neighborhood degree-based topological indices, we compute the third version of the Zagreb index; neighborhood second Zagreb index ...
Deeba Afzal +5 more
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British Educational Research Journal, EarlyView., 2023 Abstract Children's relationship with time in preschools is an under‐researched area. Young children rarely know how to measure time using a clock, but their experiences of time may contribute to understanding children's well‐being and debates about quality in preschools.
Kristín Dýrfjörð +3 more
wiley +1 more source