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Edge-Colored Graphs: Ramsey and Folkman Numbers

In: The New Mathematical Coloring Book

Author

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  • Alexander Soifer

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

Abstract

In this chapter, we will see that no matter how edges of a complete graph Kn are colored in two or, more generally, finitely many colors (each edge in one color), we can guarantee the existence of the desired monochromatic subgraph as long as we choose n to be large enough.

Suggested Citation

  • Alexander Soifer, 2024. "Edge-Colored Graphs: Ramsey and Folkman Numbers," Springer Books, in: The New Mathematical Coloring Book, edition 2, chapter 0, pages 289-311, Springer.
    • Handle: RePEc:spr:sprchp:978-1-0716-3597-1_29
    DOI: 10.1007/978-1-0716-3597-1_29
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