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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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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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Retracted: On the Reformulated Second Zagreb Index of Graph Operations
Journal of Chemistry, 2023 Journal of Chemistry, Volume 2023, Issue 1, 2023.
Journal of Chemistry
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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].
T. Mansour +3 more
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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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Structural measures for network biology using QuACN. [PDF]
BMC Bioinformatics, 2011 Background Structural measures for networks have been extensively developed, but many of them have not yet demonstrated their sustainably.
Mueller LA +4 more
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About the Zagreb Indices [PDF]
Kemija u Industriji, 2010 The original Zagreb indices and some of their variants, such as the modified Zagreb indices, variable Zagreb indices, reformulated original Zagreb indices, reformulated modified Zagreb indices, Zagreb indices as complexity indices, general Zagreb indices,
Gutman, I. +3 more
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AIMS Mathematics, 2023 <abstract><p>A connected acyclic graph in which the degree of every vertex is at most four is called a molecular tree. A number associated with a molecular tree that can help to approximate the physical or chemical properties of the corresponding molecule is called a topological index.
Shabana Anwar +4 more
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