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Can We Reach Chromatic 5 Without Mosers Spindles?

In: The New Mathematical Coloring Book

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  • Alexander Soifer

    (University of Colorado at Colorado Springs, College of Letters, Arts, and Sciences)

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:

Suggested Citation

  • Alexander Soifer, 2024. "Can We Reach Chromatic 5 Without Mosers Spindles?," Springer Books, in: The New Mathematical Coloring Book, edition 2, chapter 0, pages 693-697, Springer.
    • Handle: RePEc:spr:sprchp:978-1-0716-3597-1_54
    DOI: 10.1007/978-1-0716-3597-1_54
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