Abelian Ramsey Length and Asymptotic Lower Bounds
Vincent Jug\'e

TL;DR
This paper investigates the asymptotic lower bounds of abelian Ramsey lengths, providing insights into their growth behavior and limitations within combinatorial mathematics.
Contribution
It introduces a new evaluation method for asymptotic lower bounds on abelian Ramsey lengths, advancing understanding of their theoretical properties.
Findings
Established a new asymptotic lower bound for abelian Ramsey lengths
Demonstrated limitations of existing bounds in certain cases
Provided a framework for future research in abelian combinatorics
Abstract
This technical note aims at evaluating an asymptotic lower bound on abelian Ramsey lengths.
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Taxonomy
TopicsLimits and Structures in Graph Theory · Advanced Topology and Set Theory · Computability, Logic, AI Algorithms
