A theorem about antiprisms
โ Scribed by Mark N. Broadie
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 661 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Lawrence [2, Theorem 3] and Borodin and Kostochka [1, Lemma 2' 1 both give the same theorem about vertex colorings of graphs (Corollary 1 below). But Lawrence's proof, although powerful, is a little long, and Borodin and Kostoehka state the result without a proof.
Suppose that G ifn a graph. A l-factor is a set of edges of G such that every vertex of G meets exactly one of its edges. Suppose that we have a set Y of l-factors of G such that any two l-factors vf Y have an edge in common. We investigate the following questions: (1) How large may Y be? (2) When
An algebraic set over a group G is the set of all solutions of some system ร ลฝ . ยฒ :4 f x , . . . , x s 1 N f g G) x , . . . , x of equations over G. A group G is equa- tionally noetherian if every algebraic set over G is the set of all solutions of a finite subsystem of the given one. We prove tha