Special matrices: Note on the product of the largest and the smallest eigenvalue of a graph

Abiad, Aida; Dalfó, Cristina; Fiol, Miquel Àngel

Creator: Abiad, Aida Dalfó, Cristina Fiol, Miquel Àngel Publication: Warsaw: De Gruyter, Versita, 2024
URN: urn:nbn:de:101:1-2406031724587.061412959571

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Path:: Note on the product of the largest and the smallest eigenvalue of a graph

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Special matrices

Periodical

Title:: Special matrices

Publication:: Warsaw: De Gruyter, Versita

Note:: Gesehen am 23.01.14; Open Access; Namensnennung 4.0 International

Scope:: Online-Ressource

ISSN:: 2300-7451

ZDB-ID:: 2753755-9

VÖBB-Katalog:: 35278167

Keywords:: Zeitschrift

Classification:: Mathematik

Collection:: Mathematik

Copyright:: Rights reserved

Accessibility:: Free Access

Title:: Special matrices

Publication:: Warsaw: De Gruyter, Versita

Note:: Gesehen am 23.01.14; Open Access; Namensnennung 4.0 International

Scope:: Online-Ressource

ISSN:: 2300-7451

ZDB-ID:: 2753755-9

VÖBB-Katalog:: 35278167

Keywords:: Zeitschrift

Classification:: Mathematik

Collection:: Mathematik

Copyright:: Rights reserved

Accessibility:: Free Access

Note on the product of the largest and the smallest eigenvalue of a graph

Article

Author:: Abiad, Aida; Dalfó, Cristina; Fiol, Miquel Àngel

Title:: Note on the product of the largest and the smallest eigenvalue of a graph

Publication:: Warsaw: De Gruyter, Versita, 2024

Language:: English

Information:: Abstract: In this note, we use eigenvalue interlacing to derive an inequality between a graph’s maximum degree and its maximum and minimum adjacency eigenvalues. The equality case is fully characterized.

Scope:: Online-Ressource

Note:: Open Access; Archivierung/Langzeitarchivierung gewährleistet

Keywords:: interlacing ; eigenvalues ; maximum degree ; 05C25 ; 05C50

Classification:: Mathematik; Sonstiges

URN:: urn:nbn:de:101:1-2406031724587.061412959571

Collection:: Mathematik; Sonstiges

Copyright:: CC BY

Accessibility:: Free Access

Author:: Abiad, Aida; Dalfó, Cristina; Fiol, Miquel Àngel

Title:: Note on the product of the largest and the smallest eigenvalue of a graph

Publication:: Warsaw: De Gruyter, Versita, 2024

Language:: English

Information:: Abstract: In this note, we use eigenvalue interlacing to derive an inequality between a graph’s maximum degree and its maximum and minimum adjacency eigenvalues. The equality case is fully characterized.