Maximally edge-connected graphs and Zeroth-order general Randić index for 0

  • Authors:
  • Guifu Su;Liming Xiong;Xiaofeng Su

  • Affiliations:
  • -;-;-

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2014

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Abstract

Let G be a connected graph with order n=|V(G)|, minimum degree @d=@d(G) and edge-connectivity @l=@l(G). A graph is said to be maximally edge-connected if @l=@d. In this paper, we present two sufficient conditions for (triangle-free) graphs to be maximally edge-connected in terms of its order and the Zeroth-order general Randic index.