Maximum eigenvalue of the reciprocal distance matrix

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28 Scopus citations

Abstract

In this paper, we obtain the lower and upper bounds of the maximum eigenvalue of the reciprocal distance matrix of a connected (molecular) graph. We also give the Nordhaus-Gaddum-type result for the maximum eigenvalue.

Original languageEnglish
Pages (from-to)21-28
Number of pages8
JournalJournal of Mathematical Chemistry
Volume47
Issue number1
DOIs
StatePublished - Jan 2009

Keywords

  • Diameter
  • Lower bound
  • Maximum eigenvalue
  • Molecular graph
  • Reciprocal distance matrix
  • Upper bound

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