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Spring 2011
In this thesis, we study theoretically and empirically the additive abstraction-based heuristics. First we present formal general definitions for abstractions that extend to general additive abstractions. We show that the general definition makes proofs of admissibility, consistency, and...
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Fall 2015
We develop a method for searching for Hajós constructions. Our results include the discovery of new constructions for some well-known graphs, including the Grötzsch graph, Chvátal graph, and Brinkmann graph; also, we prove that the first two of these are shortest possible constructions. These are...