Qualitative representations of chromatic algebras
Combinatorics
2022-01-11 v1 Discrete Mathematics
Logic
Abstract
Conventional Ramsey-theoretic investigations for edge-colourings of complete graphs are framed around avoidance of certain configurations. Motivated by considerations arising in the field of Qualitative Reasoning, we explore edge colourings that in addition to forbidding certain triangle configurations also require others to be present. These conditions have natural combinatorial interest in their own right, but also correspond to qualitative representability of certain nonassociative relation algebras, which we will call chromatic.
Cite
@article{arxiv.2201.03098,
title = {Qualitative representations of chromatic algebras},
author = {Badriah Al Juaid and Marcel Jackson and James Koussas and Tomasz Kowalski},
journal= {arXiv preprint arXiv:2201.03098},
year = {2022}
}