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A new version of Zagreb indices

Ghorbani, M ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. Publisher: 2012
  3. Abstract:
  4. The Zagreb indices have been introduced by Gutman and Trinajstić as M1(G) = ∑ v∈V (G) (dG(v))2 and M2(G) = ∑ uv∈E(G) dG(u)dG(v), where dG(u) denotes the degree of vertex u. We now define a new version of Zagreb indices as M1 *(G) = ∑ uv∈E(G) [εG(u) + εG(v)] and M2 * (G) = ∑ uv∈E(G) εG(u)εG(v), where εG(u) is the largest distance between u and any other vertex v of G. The goal of this paper is to further the study of these new topological index
  5. Keywords:
  6. Composite graph ; Phrases Zagreb indices ; Product graph
  7. Source: Filomat ; Volume 26, Issue 1 , 2012 , Pages 93-100 ; 03545180 (ISSN)
  8. URL: http://www.pmf.ni.ac.rs/pmf/publikacije/filomat/2012/26-1-2012/F26-1-6.pdf