More star sub-ramsey numbers
✍ Scribed by Geňa Hahn
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 841 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0012-365X
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📜 SIMILAR VOLUMES
We calculate some size Ramsey numbers involving stars. For example we prove that for t ~ k w2 ~md n sufficiently large the size Ramsey number r,, (K,,k All graphs in this paper are finite, simple and undirected. Let F, C and H be graphs. The number of vertices and edges of a graph F will be denoted
In this paper, we will show that the Ramsey number r(C4,Ki,n+l)<~r(C4,Ki,n)+ 2 for all positive integers n. This result answers a question proposed by Burr, Erd6s, Faudree, Rousseau, and Schelp.
Caro, Y., On zero-sum Ramsey numbers--stars, Discrete Mathematics 104 (1992) l-6. Let n 3 k 2 2 be positive integers, k ( n. Let H, be the cyclic group of order k. Denote by R(K,,,> Z,) the minimal integer t such that for every &-coloring of the edges of K,, (i.e., a function c : E(K,)+ hk), there i
We show the existence of a constant c such that if n >I ck 3 and the edges of K,, are coloured using no colour more than k times then there is a Hamilton path with all edges of distinct colours. From this we infer that sr(Pn, k) = sr(Cn, k) = n, whenever n >t ck 3. We follow for notation and termi
The planar Ramsey number \(P R(k, l)(k, l \geqslant 2)\) is the smallest integer \(n\) such that any planar graph on \(n\) vertices contains either a complete graph on \(k\) vertices or an independent set of size \(l\). We find exact values of \(P R(k, l)\) for all \(k\) and \(l\). Included is a pro