Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4649497 | Discrete Mathematics | 2010 | 4 Pages |
Abstract
In this paper, we exhibit infinite families of vertex critical rr-dichromatic circulant tournaments for all r≥3r≥3. The existence of these infinite families was conjectured by Neumann-Lara [V. Neumann-Lara, Note on vertex critical 4-dichromatic circulant tournaments, Discrete Math. 170 (1997) 289–291], who later proved it for all r≥3r≥3 and r≠7r≠7. Using different methods, we provide new constructions of such infinite families for all r≥3r≥3, which covers the case r=7r=7 and thus settles the conjecture.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Gabriela Araujo-Pardo, Mika Olsen,