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On graphs with given main eigenvalues

โœ Scribed by Lingsheng Shi


Book ID
108052490
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
462 KB
Volume
22
Category
Article
ISSN
0893-9659

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๐Ÿ“œ SIMILAR VOLUMES


On graphs with multiple eigenvalues
โœ Peter Rowlinson ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 811 KB

## 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