A set X; with a coloring D: X ! Z m ; is zero-sum if P x2X DðxÞ ¼ 0: Let f ðm; rÞ (let f zs ðm; 2rÞ) be the least N such that for every coloring of 1; . . . ; N with r colors (with elements from r disjoint copies of Z m ) there exist monochromatic (zero-sum) m-element subsets B 1 and B 2 ; not neces
✦ LIBER ✦
On the Erdős-Ginzburg-Ziv theorem and the Ramsey numbers for stars and matchings
✍ Scribed by A. Bialostocki; P. Dierker
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 511 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
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## Abstract Graph __G__ is a (__k__, __p__)‐graph if __G__ does not contain a complete graph on __k__ vertices __K__~__k__~, nor an independent set of order __p__. Given a (__k__, __p__)‐graph __G__ and a (__k__, __q__)‐graph __H__, such that __G__ and __H__ contain an induced subgraph isomorphic t