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    <ns1:title language="en">Second Zagreb index of trees with fixed diameter</ns1:title>
    <ns1:language>en</ns1:language>
    <ns1:description language="en">Abstract: 
Let G be a simple graph with vertex set V = V (G) = {v1, v2, ..., vn} and edge set E = E(G). For vi∈V (G), by di = di(G) we denote the degree (number of neighbors) of the vertex vi. The second Zagreb index is defined as M2(G) = ∑didj. In this paper, we study
the minimal and maximal second Zagreb index of trees with fixed diameter.
</ns1:description>
    <ns1:keyword language="en">Keywords:second Zagreb index, diameter, trees</ns1:keyword>
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        <ns3:firstname>Emir</ns3:firstname>
        <ns3:lastname>Zogić</ns3:lastname>
        <ns3:institution>Državni univerzitet u Novom Pazaru</ns3:institution>
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        <ns3:firstname>Edin</ns3:firstname>
        <ns3:lastname>Glogić</ns3:lastname>
        <ns3:institution>Državni univerzitet u Novom Pazaru</ns3:institution>
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    <ns12:name_magazine language="en">Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics</ns12:name_magazine>
    <ns12:volume>12</ns12:volume>
    <ns12:booklet>1</ns12:booklet>
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