## Abstract In this article, we obtain a sufficient condition for the existence of regular factors in a regular graph in terms of its third largest eigenvalue. We also determine all values of __k__ such that every __r__βregular graph with the third largest eigenvalue at most has a __k__βfactor.
β¦ LIBER β¦
Main eigenvalues and -regular sets
β Scribed by Domingos M. Cardoso; Irene Sciriha; Cheryl Zerafa
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 186 KB
- Volume
- 432
- Category
- Article
- ISSN
- 0024-3795
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## Abstract For regular sets in Euclidean space, previous work has identified twelve βbasicβ computability notions to (pairs of) which many previous notions considered in literature were shown to be equivalent. With respect to those basic notions we now investigate on the computability of natural o