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A graph without zero in its spectra

  • C. Anné,
  • H. Ayadi,
  • M. Balti,
  • N. Torki-Hamza

摘要

In this paper we consider the discrete Laplacian acting on1-forms and we study its spectrum relative to the spectrum of the 0-form Laplacian.We show that the nonzero spectrum can coincide for these Laplacians withthe same nature. We examine the characteristics of 0-spectrum of the 1-formLaplacian compared to the cycles of graphs.