In this paper we consider those 2-cell orientable embeddings of a complete graph K n+1 which are generated by rotation schemes on an abelian group 8 of order n+1, where a rotation scheme an 8 is defined as a cyclic permutation ( ; 1 , ; 2 , ..., ; n ) of all nonzero elements of 8. It is shown that t
The orientation number of two complete graphs with linkages
β Scribed by K.M. Koh; K.L. Ng
- Book ID
- 108113535
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 719 KB
- Volume
- 295
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
We introduce in this paper the notion of the chromatic number of an oriented graph G (that is of an antisymmetric directed graph) defined as the minimum order of an oriented graph H such that G admits a homomorphism to H. We study the chromatic number of oriented k-trees and of oriented graphs with
## Abstract We prove that for every prime number __p__ and odd __m__>1, as __s__ββ, there are at least __w__ face 2βcolorable triangular embeddings of __K__~__w, w, w__~, where __w__ = __m__Β·__p__^__s__^. For both orientable and nonorientable embeddings, this result implies that for infinitely many