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Full-Text Articles in Physical Sciences and Mathematics
Algorithmic And Combinatorial Results On Fence Patrolling, Polygon Cutting And Geometric Spanners, Anirban Ghosh
Algorithmic And Combinatorial Results On Fence Patrolling, Polygon Cutting And Geometric Spanners, Anirban Ghosh
Theses and Dissertations
The purpose of this dissertation is to study problems that lie at the intersection of geometry and computer science. We have studied and obtained several results from three different areas, namely–geometric spanners, polygon cutting, and fence patrolling. Specifically, we have designed and analyzed algorithms along with various combinatorial results in these three areas. For geometric spanners, we have obtained combinatorial results regarding lower bounds on worst case dilation of plane spanners. We also have studied low degree plane lattice spanners, both square and hexagonal, of low dilation. Next, for polygon cutting, we have designed and analyzed algorithms for cutting out …
Effects Of Visualization On Algorithm Comprehension, Matthew Mulvey
Effects Of Visualization On Algorithm Comprehension, Matthew Mulvey
Theses and Dissertations
Computer science students are expected to learn and apply a variety of core algorithms which are an essential part of the field. Any one of these algorithms by itself is not necessarily extremely complex, but remembering the large variety of algorithms and the differences between them is challenging. To address this challenge, we present a novel algorithm visualization tool designed to enhance students understanding of Dijkstra’s algorithm by allowing them to discover the rules of the algorithm for themselves. It is hoped that a deeper understanding of the algorithm will help students correctly select, adapt and apply the appropriate algorithm …