Zagreb Indices and Multiplicative Zagreb Indices of Eulerian Graphs View Full Text


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Article Info

DATE

2019-01

AUTHORS

Jia-Bao Liu, Chunxiang Wang, Shaohui Wang, Bing Wei

ABSTRACT

For a graph G=(V(G),E(G)), let d(u), d(v) be the degrees of the vertices u, v in G. The first and second Zagreb indices of G are defined as M1(G)=∑u∈V(G)d(u)2 and M2(G)=∑uv∈E(G)d(u)d(v), respectively. The first (generalized) and second Multiplicative Zagreb indices of G are defined as Π1,c(G)=∏v∈V(G)d(v)c and Π2(G)=Πuv∈E(G)d(u)d(v), respectively. The (Multiplicative) Zagreb indices have been the focus of considerable research in computational chemistry dating back to Narumi and Katayama in 1980s. Denote by Gn the set of all Eulerian graphs of order n. In this paper, we characterize Eulerian graphs with first three smallest and largest Zagreb indices and Multiplicative Zagreb indices in Gn. More... »

PAGES

1-12

References to SciGraph publications

  • 2010-07. On the Maximum Zagreb Indices of Graphs with k Cut Vertices in ACTA APPLICANDAE MATHEMATICAE
  • 2014-02. Sharp bounds of the Zagreb indices of k-trees in JOURNAL OF COMBINATORIAL OPTIMIZATION
  • 2015-10. A unified linear-programming modeling of some topological indices in JOURNAL OF COMBINATORIAL OPTIMIZATION
  • 2008. Graph Theory in NONE
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    http://scigraph.springernature.com/pub.10.1007/s40840-017-0463-2

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