Portland State University. Department of Computer Science
Date of Award
Master of Science (M.S.) in Computer Science
1 online resource (x, 85 p.) : ill. (some col.)
Computational search, Factoring, Prime number graph, Prime Numbers, Trees (Graph theory), Factorization (Mathematics)
In this thesis a heuristic method for factoring semiprimes by multiagent depth-limited search of PG2N graphs is presented. An analysis of PG2N graph connectivity is used to generate heuristics for multiagent search. Further analysis is presented including the requirements on choosing prime numbers to generate 'hard' semiprimes; the lack of connectivity in PG1N graphs; the counts of spanning trees in PG2N graphs; the upper bound of a PG2N graph diameter and a conjecture on the frequency distribution of prime numbers on Hamming distance. We further demonstrated the feasibility of the HD2 breadth first search of PG2N graphs for factoring small semiprimes. We presented the performance of different multiagent search heuristics in PG2N graphs showing that the heuristic of most connected seedpick outperforms least connected or random connected seedpick heuristics on small PG2N graphs of size N
Wilson, Keith Eirik, "Factoring Semiprimes Using PG2N Prime Graph Multiagent Search" (2011). Dissertations and Theses. Paper 219.