Document Type
Thesis
Publication Date
1994
Disciplines
Mathematics
Advisor
Jennifer Galovich
Abstract
Several important general theorems of Euclidean Ramsey Theory are presented with an emphasis on trying to prove or disprove the 1973 conjecture of Erdös et al. that for all triangles, except for equilateral triangles, it is possible to find a monochromatic coloring of the vertices in any two colorings of the plane. Further investigation included looking at triangles in greater dimensions.
Copyright Statement
Available by permission of the author. Reproduction or retransmission of this material in any form is prohibited without expressed written permission of the author.
Recommended Citation
Wilson, Kathleen, "Triangles, Triangles and, Yes, More Triangles: Explorations in Euclidean Ramsey Theory" (1994). Honors Theses, 1963-2015. 462.
https://digitalcommons.csbsju.edu/honors_theses/462