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    The Third Leap Zagreb Index for Trees by Jia-Ming Zhu, Nasrin Dehgardi, Xiaoxin Li

    Published 2019-01-01
    “…The third leap Zagreb index is the sum of the products of vertex degrees and second degrees. …”
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    Lower Bounds on the Entire Zagreb Indices of Trees by Liang Luo, Nasrin Dehgardi, Asfand Fahad

    Published 2020-01-01
    “…For a (molecular) graph G, the first and the second entire Zagreb indices are defined by the formulas M1εG=∑x∈VG∪EGdx2 and M2εG=∑x is either adjacent or incident to ydxdy in which dx represents the degree of a vertex or an edge x. …”
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    Introducing New Exponential Zagreb Indices for Graphs by Nihat Akgunes, Busra Aydin

    Published 2021-01-01
    “…New graph invariants, named exponential Zagreb indices, are introduced for more than one type of Zagreb index. …”
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    Connection-Based Multiplicative Zagreb Indices of Dendrimer Nanostars by Aqsa Sattar, Muhammad Javaid, Ebenezer Bonyah

    Published 2021-01-01
    “…A topological index (TI) is a function that connects a numeric number to each molecular graph. Zagreb indices (ZIs) are the most studied TIs. In this paper, we establish general expressions to calculate the connection-based multiplicative ZIs, namely, first multiplicative ZIs, second multiplicative ZIs, third multiplicative ZIs, and fourth multiplicative ZIs, of two renowned dendrimer nanostars. …”
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    Some Upper Bounds on the First General Zagreb Index by Muhammad Kamran Jamil, Aisha Javed, Ebenezer Bonyah, Iqra Zaman

    Published 2022-01-01
    “…The first general Zagreb index MγG or zeroth-order general Randić index of a graph G is defined as MγG=∑v∈Vdvγ where γ is any nonzero real number, dv is the degree of the vertex v and γ=2 gives the classical first Zagreb index. …”
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    First General Zagreb Index of Generalized F-sum Graphs by H. M. Awais, Muhammad Javaid, Akbar Ali

    Published 2020-01-01
    “…The first general Zagreb (FGZ) index (also known as the general zeroth-order Randić index) of a graph G can be defined as MγG=∑uv∈EGdGγ−1u+dGγ−1v, where γ is a real number. …”
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    Modified Zagreb Connection Indices for Benes Network and Related Classes by Wenhu Wang, Asma Nisar, Asfand Fahad, Muhammad Imran Qureshi, Abdu Alameri

    Published 2022-01-01
    “…The current work is devoted to the derivation of 2-distance based TIs, known as, modified first Zagreb connection index ZC1∗ and first Zagreb connection index ZC1 for r− dimensional Benes network and some classes generated from Benes network. …”
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    Zagreb Eccentricity Indices of the Generalized Hierarchical Product Graphs and Their Applications by Zhaoyang Luo, Jianliang Wu

    Published 2014-01-01
    “…The first and second Zagreb eccentricity indices of G are defined as M1*(G)=∑v∈V(G)‍εG2(v) and M2*(G)=∑uv∈E(G)‍εG(u)εG(v), where εG(v) is the eccentricity of the vertex v in G and εG2(v)=(εG(v))2. …”
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    Sharp Bounds of the Hyper-Zagreb Index on Acyclic, Unicylic, and Bicyclic Graphs by Wei Gao, Muhammad Kamran Jamil, Aisha Javed, Mohammad Reza Farahani, Shaohui Wang, Jia-Bao Liu

    Published 2017-01-01
    “…The hyper-Zagreb index is an important branch in the Zagreb indices family, which is defined as ∑uv∈E(G)‍(d(u)+d(v))2, where d(v) is the degree of the vertex v in a graph G=(V(G),E(G)). …”
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    Sharp Lower Bound of Cacti Graph with respect to Zagreb Eccentricity Indices by Ahmed Alamer, Khalil Hadi Hakami, Mohammad Rahim Rahimi, Yasir Ahmad

    Published 2024-01-01
    “…The first Zagreb eccentricity index E1℧ is the sum of square of eccentricities of the vertices, and the second Zagreb eccentricity index E2℧ is the sum of product squares of the eccentricities of the vertices. …”
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    Some Bounds of Weighted Entropies with Augmented Zagreb Index Edge Weights by Yujie Huang, Hafiz Mutee-ur-Rehman, Saima Nazeer, Deeba Afzal, Xiaoli Qiang

    Published 2020-01-01
    “…In this paper, we study the weighted graph entropy by taking augmented Zagreb edge weight and give bounds of it for regular, connected, bipartite, chemical, unicyclic, etc., graphs. …”
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    Exact Values of Zagreb Indices for Generalized T-Sum Networks with Lexicographic Product by Jia-Bao Liu, Sana Akram, Muhammad Javaid, Zhi-Ba Peng

    Published 2021-01-01
    “…At the end, a comparison among the different generalized T-sum networks with respect to first and second Zagreb indices is also included.…”
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    ROLLING REGRESSION CAPM ON ZAGREB STOCK EXCHANGE – CAN INVESTORS PROFIT FROM IT? by Tihana Škrinjarić

    Published 2018-11-01
    “… This paper explores possibilities of using rolling regression CAPM on the Zagreb Stock Exchange in portfolio and risk management. …”
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    Computing Correlation among the Graphs under Lexicographic Product via Zagreb Indices by Muhammad Javaid, Saira Javed, Yasmene F. Alanazi, Abdulaziz Mohammed Alanazi

    Published 2021-01-01
    “…Moreover, we compute the different degree-based TIs such as first Zagreb, second Zagreb, forgotten Zagreb, and hyper-Zagreb. …”
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    ROLLING REGRESSION CAPM ON ZAGREB STOCK EXCHANGE – CAN INVESTORS PROFIT FROM IT? by Tihana Škrinjarić

    Published 2018-11-01
    “… This paper explores possibilities of using rolling regression CAPM on the Zagreb Stock Exchange in portfolio and risk management. …”
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    Article
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    Extremum Modified First Zagreb Connection Index of n-Vertex Trees with Fixed Number of Pendent Vertices by Sadia Noureen, Akhlaq Ahmad Bhatti, Akbar Ali

    Published 2020-01-01
    “…The modified first Zagreb connection index ZC1∗ is a graph invariant that appeared about fifty years ago within a study of molecular modeling, and after a long time, it has been revisited in two papers ((Ali and Trinajstić, 2018) and (Naji et al., 2017)) independently. …”
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