Jaan Parts’ Current World Record

Alexander Soifer
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Alexander Soifer: University of Colorado at Colorado Springs, College of Letters, Arts, and Sciences

Chapter Chapter 56 in The New Mathematical Coloring Book, 2024, pp 701-708 from Springer

Abstract: Abstract In April 2020 issue of Geombinatorics, Dr. Jaan Parts, a microchip designer-engineer from Kazan, the capital of Tatarstan, Russia, presented an overview and classification of the state of hunting for 5-chromatic unit-distance graphs. I refer you to his 30-page Geombinatorics article [Par2] for important details. Parts’ record holder (in terms of the smallest number of vertices) is a graph on 509 vertices with 2442 edges (visualized in Fig. 56.1), created using a large subgraph on 374 vertices with 1860 edges (visualized in Fig. 56.2), and a small subgraph on 136 vertices with 564 edges (visualized in Fig. 56.3).

Date: 2024
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DOI: 10.1007/978-1-0716-3597-1_56

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