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Bounding Monochromatic Triangles Using Squares

Producción científica: Articlerevisión exhaustiva

1 Cita (Scopus)

Resumen

Summary: Goodman gave the lower bound on the number of monochromatic triangles of the complete graph on n vertices when the edges are colored with two colors. We reprove his result by giving an algebraic reformulation and utilizing that squares of real expressions are nonnegative.

Idioma originalEnglish
Páginas (desde-hasta)383-386
Número de páginas4
PublicaciónMathematics Magazine
Volumen94
N.º5
DOI
EstadoPublished - 2021

Nota bibliográfica

Publisher Copyright:
©, Mathematical Association of America.

Financiación

The author thanks the referee and the editor for suggestions improving the exposition and Theodore Ehrenborg for reading an earlier draft. This work was also partially supported by a grant from the Simons Foundation (#429370 to Richard Ehrenborg).

FinanciadoresNúmero del financiador
Simons Foundation429370

    ASJC Scopus subject areas

    • General Mathematics

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