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- Title
Distance ramsey numbers.
- Authors
Kupavskii, A.; Titova, M.
- Abstract
The article focuses on the mathematical analysis between two fields of combinations in combinatorial geometry studying distance graphs and Ramsey theory. It mentions the definition of a distance graph and describes its properties. It also notes the usage of probabilistic method in determining inequalities and discusses the examination of the properties of finite distance graphs. It tackles the arbitrary maximal-cardinality system of edge-disjoint graphs and investigates the chosen randomly and equiprobably out of the set of all permutations.
- Subjects
COMBINATORIAL geometry; RAMSEY theory; MATHEMATICAL analysis; PROBABILITY theory; MATHEMATICAL inequalities; PERMUTATIONS
- Publication
Doklady Mathematics, 2013, Vol 87, Issue 2, p171
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562413020130