- Collection:
- Spelman College Faculty Publications
- Title:
- Rainbow Numbers Of Zn for a1x1 + a2x2 + a3x3 = b
- Creator:
- Ansaldi, Katie
Houssein El Turkey
Jessica Hamm
Anisah Nu'Man
Nathan Warnberg
Michael Young - Date of Original:
- 2020
- Subject:
- Spelman College--Faculty
African American scholars
African Americans--Education (Higher)--Georgia
African American universities and colleges--Georgia--Atlanta - Location:
- United States, Georgia, Atlanta Metropolitan Area, 33.8498, 84.4383
- Medium:
- articles
- Type:
- Text
- Format:
- application/pdf
- Description:
- An exact r-coloring of a set S is a surjective function c : S [r]. The rainbow number of a set S for equation eq is the smallest integer r such that every exact r- coloring of S contains a rainbow solution to eq. In this paper, the rainbow number of Zp, for p prime, and the equation a1x1+a2x2+a3x3 = b, is determined. The rainbow number of Zn, for a natural number n, is determined under certain conditions.
- External Identifiers:
- Metadata URL:
- http://hdl.handle.net/20.500.12322/sc.fac.pubs:2020_ansaldi_katie
- Rights Holder:
- Spelman College
- Original Collection:
- Spelman College Faculty Publications
- Holding Institution:
- Spelman College
- Rights:
-
