Results 1 to 10 of about 4,569,509 (132)
Reformulated First Zagreb Index of Some Graph Operations [PDF]
Mathematics, 2015 The reformulated Zagreb indices of a graph are obtained from the classical Zagreb indices by replacing vertex degrees with edge degrees, where the degree of an edge is taken as the sum of degrees of the end vertices of the edge minus 2. In this paper, we
Nilanjan De +2 more
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Bounds and extremal graphs of second reformulated Zagreb index for graphs with cyclomatic number at most three [PDF]
Kuwait Journal of Science, 2021 Mili\v{c}evi\'{c} \textit{et al.}, in 2004, introduced topological indices known as Reformulated Zagreb indices, where they modified Zagreb indices using the edge-degree instead of vertex degree.
Abhay Rajpoot, Lavanya Selvaganesh
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Four new operations related to composition and their reformulated Zagreb index
Indonesian Journal of Combinatorics, 2018 The first reformulated Zagreb index EM1(G) of a simple graph G is defined as the sum of the terms (du+dv-2)2 over all edges uv of G. In 2017, Sarala et al. introduced four new operations (F-product) of graphs.
K Pattabiraman, A Santhakumar
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First reformulated Zagreb indices of some classes of graphs
Karpatsʹkì Matematičnì Publìkacìï, 2018 A topological index of a graph is a parameter related to the graph; it does not depend on labeling or pictorial representation of the graph. Graph operations plays a vital role to analyze the structure and properties of a large graph which is derived ...
V. Kaladevi +2 more
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Reformulated Zagreb Indices of Some Derived Graphs
Mathematics, 2019 A topological index is a numeric quantity that is closely related to the chemical constitution to establish the correlation of its chemical structure with chemical reactivity or physical properties.
Jia-Bao Liu +4 more
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Note on the Reformulated Zagreb Indices of Two Classes of Graphs
Journal of Chemistry, 2020 The reformulated Zagreb indices of a graph are obtained from the original Zagreb indices by replacing vertex degrees with edge degrees, where the degree of an edge is taken as the sum of degrees of its two end vertices minus 2.
Tongkun Qu +3 more
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On the Reformulated Second Zagreb Index of Graph Operations [PDF]
Journal of Chemistry, 2021 Topological indices (TIs) are expressed by constant real numbers that reveal the structure of the graphs in QSAR/QSPR investigation. The reformulated second Zagreb index (RSZI) is such a novel TI having good correlations with various physical attributes,
Durbar Maji +2 more
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On the Reformulated Multiplicative First Zagreb Index of Trees and Unicyclic Graphs [PDF]
Discrete Dynamics in Nature and Society, 2021 The multiplicative first Zagreb index of a graph H is defined as the product of the squares of the degrees of vertices of H. The line graph of a graph H is denoted by LH and is defined as the graph whose vertex set is the edge set of H where two vertices
Akbar Ali +4 more
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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].
Mohammad Rostami, Toufik Mansour
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Zagreb indices of block-edge transformation graphs and their complements
Indonesian Journal of Combinatorics, 2017 In this paper, we obtain expressions for first and second Zagreb indices and coindices of block-edge transformation graphs G^{ab}. Analogous expressions are obtained also for the complements of G^{ab}.
Bommanahal Basavanagoud, Shreekant Patil
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