Topological Ramsey Theorem for Complete Bipartite Graphs
β Scribed by M.S. Miyauchi
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 645 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Erd6s. P. and C.C. Rousseau, The size Ramsey number of a complete bipartite graph, Discrete Mathematics 113 (1993) 259-262. In this note we prove that the (diagonal) size Ramsey number of K,,.,, is bounded below by $2'2".
Given i, j positive integers, let K denote a bipartite complete graph and let i, j ## Ε½ . R m, n be the smallest integer a such that for any r-coloring of the edges of K r a, a one can always find a monochromatic subgraph isomorphic to K . In other m, n Ε½ . Γ 4 words, if a G R m, n then every mat
## 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