Edge colourings and qualitative representations of chromatic algebras
Badriah Al-Juaid,
Marcel Jackson,
James Koussas
et al.
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 … Show more
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