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On the sensitivities of multiple eigenvalues

โœ Scribed by Jens Gravesen; Anton Evgrafov; Dang Manh Nguyen

Book ID
105843604
Publisher
Springer-Verlag
Year
2011
Tongue
English
Weight
233 KB
Volume
44
Category
Article
ISSN
1615-1488

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## Let ,~(ll) be an eigenspace of a finite graph G, with dimension m and codimension t > I. It is shown that if It ~ {-1,0} then m ~< ~ (t -l)(t + 4). A necessary and sufficient condition for It to be a multiple eigenvalue of G is established, and used to construct examples from iratersecting fami