Bounding Monochromatic Triangles Using Squares

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
JournalMathematics Magazine
StateAccepted/In press - 2021

Bibliographical note

Funding Information:
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).

Publisher Copyright:
©, Mathematical Association of America.

ASJC Scopus subject areas

  • Mathematics (all)


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