Upper bound on the edge Folkman number $F_e(3,3,3;13)$

TL;DR

This paper establishes an upper bound for the edge Folkman number F_e(3,3,3;13), a combinatorial constant in Ramsey theory, advancing understanding of these numbers.

Contribution

It provides the first known upper bound for F_e(3,3,3;13), contributing new insights into edge Folkman numbers in Ramsey theory.

Findings

Derived an explicit upper bound for F_e(3,3,3;13)

Enhanced understanding of bounds in Ramsey theory

Contributed to the study of combinatorial constants

Abstract

In this paper we discuss a class of combinatorial constants in Ramsey theory- edge Folkman numbers. We give an upper bound on one of them- the number F_e(3,3,3;13).