1 Ocak 2016 Dergi makalesi Açık Erişim

Das, Kinkar Ch; Akgunes, Nihat; Togan, Muge; Yurttas, Aysun; Cangul, I. Naci; Cevik, A. Sinan

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/111576</identifier>
  <creators>
    <creator>
      <creatorName>Das, Kinkar Ch</creatorName>
      <givenName>Kinkar Ch</givenName>
      <familyName>Das</familyName>
      <affiliation>Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea</affiliation>
    </creator>
    <creator>
      <creatorName>Akgunes, Nihat</creatorName>
      <givenName>Nihat</givenName>
      <familyName>Akgunes</familyName>
      <affiliation>Necmettin Erbakan Univ, Dept Math Comp Sci, Fac Sci, TR-42100 Meram Yeniyol, Konya, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Togan, Muge</creatorName>
      <givenName>Muge</givenName>
      <familyName>Togan</familyName>
      <affiliation>Uludag Univ, Dept Math, Fac Sci &amp; Art, Gorukle Campus, TR-16059 Bursa, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Yurttas, Aysun</creatorName>
      <givenName>Aysun</givenName>
      <familyName>Yurttas</familyName>
      <affiliation>Uludag Univ, Dept Math, Fac Sci &amp; Art, Gorukle Campus, TR-16059 Bursa, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Cangul, I. Naci</creatorName>
      <givenName>I. Naci</givenName>
      <familyName>Cangul</familyName>
      <affiliation>Uludag Univ, Dept Math, Fac Sci &amp; Art, Gorukle Campus, TR-16059 Bursa, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Cevik, A. Sinan</creatorName>
      <givenName>A. Sinan</givenName>
      <familyName>Cevik</familyName>
      <affiliation>Selcuk Univ, Dept Math, Fac Sci, TR-42075 Konya, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>On The First Zagreb Index And Multiplicative Zagreb Coindices Of Graphs</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2016</publicationYear>
  <dates>
    <date dateType="Issued">2016-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/111576</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1515/auom-2016-0008</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">For a (molecular) graph G with vertex set V (G) and edge set E(G), the first Zagreb index of G is defined as M-1(G) = Sigma v(i is an element of V(G))d(C)(v(i))(2), where d(G) (v(i)) is the degree of vertex v(i), in G. Recently Xu et al. introduced two graphical invariants (Pi) over bar (1) (G) = Pi v(i)v(j is an element of E(G)) (dG (v(i))+dG (v(j))) and (Pi) over bar (2)(G) = Pi(vivj is an element of E(G)) (dG (v(i))+dG (v(j))) named as first multiplicative Zagreb coindex and second multiplicative Zagreb coindex, respectively. The Narumi-Katayama index of a graph G, denoted by NK(G), is equal to the product of the degrees of the vertices of G, that is, NK(G) = Pi(n)(i=1) d(G) (v(i)). The irregularity index t(G) of G is defined as the num=1 ber of distinct terms in the degree sequence of G. In this paper, we give some lower and upper bounds on the first Zagreb index M-1(G) of graphs and trees in terms of number of vertices, irregularity index, maximum degree, and characterize the extremal graphs. Moreover, we obtain some lower and upper bounds on the (first and second) multiplicative Zagreb coindices of graphs and characterize the extremal graphs. Finally, we present some relations between first Zagreb index and NarumiKatayama index, and (first and second) multiplicative Zagreb index and coindices of graphs.</description>
  </descriptions>
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