1 Ocak 2016 Dergi makalesi Açık Erişim

Xu, Ke Xiang; Das, Kinkar Ch.; Maden, Ayse Dilek

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    <subfield code="a">On a Novel Eccentricity-based Invariant of a Graph</subfield>
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    <subfield code="a">In this paper, for the purpose of measuring the non-self-centrality extent of non-selfcentered graphs, a novel eccentricity-based invariant, named as non-self-centrality number (NSC number for short), of a graph G is defined as follows: N(G) = Sigma(vi), (vj is an element of V(G)) vertical bar e(i) - e(j)vertical bar where the summation goes over all the unordered pairs of vertices in G and e(i) is the eccentricity of vertex vi in G, whereas the invariant will be called third Zagreb eccentricity index if the summation only goes over the adjacent vertex pairs of graph G. In this paper, we determine the lower and upper bounds on N(G) and characterize the corresponding graphs at which the lower and upper bounds are attained. Finally we propose some attractive research topics for this new invariant of graphs.</subfield>
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    <subfield code="u">Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea</subfield>
    <subfield code="a">Das, Kinkar Ch.</subfield>
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    <subfield code="u">Sel cuk Univ, Fac Sci, Dept Math, TR-42075 Campus, Konya, Turkey</subfield>
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    <subfield code="u">Nanjing Univ Aeronaut &amp; Astronaut, Coll Sci, Nanjing 210016, Peoples R China</subfield>
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