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Graphs and surfaces in regular lattices

✍ Scribed by S.G. Whittington; C.E. Soteros; E.J.Janse Van Rensburg

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
673 KB
Volume
14
Category
Article
ISSN
0097-8485

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## 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__‐regular graph with the third largest eigenvalue at most has a __k__‐factor.