Upper bounds on the average eccentricity

  • Authors:
  • Peter Dankelmann;Simon Mukwembi

  • Affiliations:
  • -;-

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

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Abstract

Sharp upper bounds on the average eccentricity of a connected graph of given order in terms of its independence number, chromatic number, domination number or connected domination number are given. Our results settle two conjectures of the computer program AutoGraphiX (Aouchiche et al., 2005).