On the energy of some circulant graphs

Igor Shparlinski*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

38 Citations (Scopus)

Abstract

We give an explicit construction of circulant graphs of very high energy. This construction is based on Gauss sums. We also show the Littlewood conjecture can be used to establish new result for a certain class of circulant graphs.

Original languageEnglish
Pages (from-to)378-382
Number of pages5
JournalLinear Algebra and Its Applications
Volume414
Issue number1
DOIs
Publication statusPublished - 1 Apr 2006

Keywords

  • Circulant graphs
  • Energy of graphs
  • Gauss sums
  • Littlewood conjecture

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