The Triangle Intersection Problem For Hexagon Triple Systems
Type of DegreeDissertation
DepartmentMathematics and Statistics
MetadataShow full item record
The Triangle Intersection Problem for Hexagon Triple Systems Carl S. Pettis, Auburn University A hexagon triple is the graph and a hexagon triple system is an edge disjoint decomposition of 3kn into hexagon triples. Note that a hexagon triple is the union of 3 triangles (= triples). The intersection problem for 3-fold triple systems has been solved for some time now. The purpose of this paper is to give a complete solution of the intersection problem for 3-fold triple systems each of which can be organized into hexagon triple systems.