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Polychromatic Number of the Plane and Results Near the Lower Bound

In: The New Mathematical Coloring Book

Author

Listed:
  • Alexander Soifer

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

Abstract

When a great problem withstands all assaults, mathematicians create many related problems. It gives them something to solve, plus sometimes there is an extra gain in this process, when an insight into a related problem brings new ways to see and conquer the original one. Numerous problems have been posed around the chromatic number of the plane. I would like to share with you my favorite among them.

Suggested Citation

  • Alexander Soifer, 2024. "Polychromatic Number of the Plane and Results Near the Lower Bound," Springer Books, in: The New Mathematical Coloring Book, edition 2, chapter 0, pages 37-44, Springer.
  • Handle: RePEc:spr:sprchp:978-1-0716-3597-1_4
    DOI: 10.1007/978-1-0716-3597-1_4
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