Can We Reach Chromatic 5 Without Mosers Spindles?

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

Chapter Chapter 54 in The New Mathematical Coloring Book, 2024, pp 693-697 from Springer

Abstract: Abstract Is there a unit-distance 5-chromatic graph (in the plane) without Mosers Spindle? I was sure there was. This is a natural question that naturally came to my mind while posing relevant open problems. After all, Aubrey de Grey used a dense in spindles construction because it worked, not because it would not work otherwise. Without Mosers Spindles, we achieve much gain in flexibility of embedding, and thus, possibly, getting a smaller graph. And so, I posed the following problem:

Date: 2024
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DOI: 10.1007/978-1-0716-3597-1_54

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