Date of Award
Master of Science in Computer Science
Computer Science and Statistics
The shortest path problem, or the Steiner problem, is an interesting problem with numerous real-world applications. Historically the Steiner problem has been studied for the Euclidean plane and for rectilinear distances. Both problems have been proven to be NP-hard. In this research, we look into the Steiner problem on a triangular grid and show that the problem is NP-hard. We explore exact algorithms for constructing a shortest network that optimally interconnects a set of terminal points on a grid. Moreover, we look at a heuristic algorithm to solve the problem and provide a conjecture on the bound of the approximation it produces.
Mei, Jie, "Shortest Connection Networks on Triangular Grids" (2017). Open Access Master's Theses. Paper 1237.