Ramsey Numbers for Rectangles in Multicolour Colourings

• Date: 2025
• Main Authors: Зеленський, Олексій, Динич, Альона, Брігідіна, Валерія, Онищенко, Катерина
• Format: Article
• Language: Ukrainian
• Published: Кам'янець-Подільський національний університет імені Івана Огієнка 2025
• Online Access: http://mcm-math.kpnu.edu.ua/article/view/346325
• Journal Title: Mathematical and computer modelling. Series: Physical and mathematical sciences

The article considers a Ramsey-theoretic approach to the analysis of discrete two-dimensional structures in which regular subconfigurations inevitably emerge as the size grows. The starting point is the central idea of Ramsey theory that in a sufficiently large system «complete chaos» is impossible:...