Estrada index and Chebyshev polynomials

Yuval Ginosar; Ivan Gutman; Toufik Mansour; Matthias Schork

doi:10.1016/j.cplett.2008.02.026

Estrada index and Chebyshev polynomials

Yuval Ginosar, Ivan Gutman, Toufik Mansour, Matthias Schork

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let G be a graph whose eigenvalues are λ₁, λ₂,...,λ_n. The Estrada index of G is equal to ∑_{i = 1}ⁿ e^λi. 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 language	English
Pages (from-to)	145-147
Number of pages	3
Journal	Chemical Physics Letters
Volume	454
Issue number	4-6
DOIs	https://doi.org/10.1016/j.cplett.2008.02.026
State	Published - 20 Mar 2008

ASJC Scopus subject areas

General Physics and Astronomy
Physical and Theoretical Chemistry

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10.1016/j.cplett.2008.02.026

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title = "Estrada index and Chebyshev polynomials",

abstract = "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.",

author = "Yuval Ginosar and Ivan Gutman and Toufik Mansour and Matthias Schork",

year = "2008",

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doi = "10.1016/j.cplett.2008.02.026",

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journal = "Chemical Physics Letters",

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AU - Ginosar, Yuval

AU - Gutman, Ivan

AU - Mansour, Toufik

AU - Schork, Matthias

PY - 2008/3/20

Y1 - 2008/3/20

N2 - 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.

AB - 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.

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DO - 10.1016/j.cplett.2008.02.026

M3 - Article

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VL - 454

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EP - 147

JO - Chemical Physics Letters

JF - Chemical Physics Letters

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Estrada index and Chebyshev polynomials

Abstract

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