Affordable Access

Gr\"unbaum coloring and its generalization to arbitrary dimension

Authors
  • Lawrencenko, S.
  • Vyalyi, M. N.
  • Zgonnik, L. V.
Type
Preprint
Publication Date
Jul 13, 2016
Submission Date
Jul 13, 2016
Identifiers
arXiv ID: 1607.03959
Source
arXiv
License
Yellow
External links

Abstract

This paper is a collection of thoughts and observations, being partly a review and partly a report of current research, on recent work in various aspects of Gr\"unbaum colorings, their existence and usage. In particular, one of the most striking significances of Gr\"unbaum's Conjecture in the 2-dimensional case is its equivalence to the 4-Color Theorem. The notion of Gr\"unbaum coloring is extended from the 2-dimensional case to the case of arbitrary finite hyper-dimensions.

Report this publication

Statistics

Seen <100 times