Estrada index and Chebyshev polynomials

Yuval Ginosar, Ivan Gutman, Toufik Mansour, Matthias Schork

Research output: Contribution to journalArticlepeer-review


Let G be a graph whose eigenvalues are λ1, λ2,...,λn. The Estrada index of G is equal to ∑i = 1n eλi. We point out certain classes of graphs whose characteristic polynomials are closely connected to the Chebyshev polynomials of the second kind. Various relations, in particular approximations, for the Estrada index of these graphs are obtained.

Original languageEnglish
Pages (from-to)145-147
Number of pages3
JournalChemical Physics Letters
Issue number4-6
StatePublished - 20 Mar 2008

ASJC Scopus subject areas

  • General Physics and Astronomy
  • Physical and Theoretical Chemistry


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