Higher dimensional analogues of the map colouring problem

TL;DR

This paper introduces a higher-dimensional generalization of the classic map coloring problem, expanding the scope of the problem beyond two dimensions and exploring its theoretical implications.

Contribution

It proposes a novel extension of the map coloring problem to higher dimensions, broadening understanding of topological coloring constraints.

Findings

Initial formulation of higher-dimensional map coloring problem

Discussion of theoretical implications in topology

Potential for future research in higher-dimensional coloring

Abstract

After a brief discussion of the history of the problem, we propose a generalization of the map colouring problem to higher dimensions.