Rotation numbers for complete tripartite graphs
β Scribed by Julie Haviland; Andrew Thomason
- Publisher
- Springer Japan
- Year
- 1991
- Tongue
- English
- Weight
- 710 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Let __G__ be a simple undirected graph which has __p__ vertices and is rooted at __x__. Informally, the __rotation number h(G, x)__ of this rooted graph is the minimum number of edges in a __p__ vertex graph __H__ such that for each vertex __v__ of __H__, there exists a copy of __G__ in
## 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
It will be shown that the (diagonal) size Ramsey number of K ..... is bounded below by c. 64n , 2 3oj2 ~n 2 and above by 2 Let F and G be graphs. The symbol F >---,G denotes that in any two-colouring (say red and blue) of edges of F a monochromatic copy of G is contained. The Ramsey number r(G) is t
## Abstract A __rooted graph__ is a pair (__G, x__) where __G__ is a simple undirected graph and __x__ Ο΅ __V__(__G__). If __G__ if rooted at __x__, then its __rotation number h(G, x)__ is teh minimum number of edges in a graph __F__, of the same order as __G__, such that for all __v__ Ο΅ __V(F)__ we