A Lower Bound for Schur Numbers and Multicolor Ramsey Numbers

Author:

Exoo Geoffrey

Abstract

For $k \geq 5$, we establish new lower bounds on the Schur numbers $S(k)$ and on the k-color Ramsey numbers of $K_3$.

Publisher

The Electronic Journal of Combinatorics

Subject

Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Ramsey Theory Before Ramsey: Schur’s Coloring Solution of a Colored Problem and Its Generalizations;The New Mathematical Coloring Book;2024

2. The Schur degree of additive sets;Discrete Mathematics;2021-05

3. New upper bound for multicolor Ramsey number of odd cycles;Discrete Mathematics;2019-01

4. On Generalized Schur Numbers;Experimental Mathematics;2015-12-16

5. Weak Schur numbers and the search for G.W. Walker’s lost partitions;Computers & Mathematics with Applications;2012-01

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