Valeurs propres négatives des graphes réguliers

Wen Ching Winnie Li

doi:10.1016/S0764-4442(01)02155-3

Valeurs propres négatives des graphes réguliers

Translated title of the contribution: On negative eigenvalues of regular graphs

Wen Ching Winnie Li

Mathematics

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

9 Scopus citations

Abstract

In this Note we prove that if {G_n} is a sequence of connected k-regular graphs in which the length of odd cycles approaches infinity as n→∞, then the limsup of the smallest eigenvalue of G_n greater than -k is at most -2k-1 as n tends to infinity.

Translated title of the contribution	On negative eigenvalues of regular graphs
Original language	French
Pages (from-to)	907-912
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	333
Issue number	10
DOIs	https://doi.org/10.1016/S0764-4442(01)02155-3
State	Published - Nov 2001

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/S0764-4442(01)02155-3

Cite this

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abstract = "In this Note we prove that if \{Gn\} is a sequence of connected k-regular graphs in which the length of odd cycles approaches infinity as n→∞, then the limsup of the smallest eigenvalue of Gn greater than -k is at most -2k-1 as n tends to infinity.",

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AB - In this Note we prove that if {Gn} is a sequence of connected k-regular graphs in which the length of odd cycles approaches infinity as n→∞, then the limsup of the smallest eigenvalue of Gn greater than -k is at most -2k-1 as n tends to infinity.

UR - https://www.scopus.com/pages/publications/0347117535

UR - https://www.scopus.com/pages/publications/0347117535#tab=citedBy

U2 - 10.1016/S0764-4442(01)02155-3

DO - 10.1016/S0764-4442(01)02155-3

M3 - Article

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SN - 0764-4442

VL - 333

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JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 10

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Valeurs propres négatives des graphes réguliers

Abstract

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