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- Academic -- UNF -- Master of Arts in Mathematics and Statistics; Dissertations (1)
- Academic -- UNF -- Master of Science in Mathematical Science; Dissertations (1)
- Academic -- UNF -- Mathematic and Statistics; Lie algebras (1)
- Academic -- UNF -- Mathematics; Thickened graphs; Boundary components; Windy Postman Problem; Reporter strands; DNA computing (1)
- Differential Equations (1)
Articles 1 - 2 of 2
Full-Text Articles in Physical Sciences and Mathematics
Self-Assembly Of Dna Graphs And Postman Tours, Katie Bakewell
Self-Assembly Of Dna Graphs And Postman Tours, Katie Bakewell
UNF Graduate Theses and Dissertations
DNA graph structures can self-assemble from branched junction molecules to yield solutions to computational problems. Self-assembly of graphs have previously been shown to give polynomial time solutions to hard computational problems such as 3-SAT and k-colorability problems. Jonoska et al. have proposed studying self-assembly of graphs topologically, considering the boundary components of their thickened graphs, which allows for reading the solutions to computational problems through reporter strands. We discuss weighting algorithms and consider applications of self-assembly of graphs and the boundary components of their thickened graphs to problems involving minimal weight Eulerian walks such as the Chinese Postman Problem and …
On Representations Of The Jacobi Group And Differential Equations, Benjamin Webster
On Representations Of The Jacobi Group And Differential Equations, Benjamin Webster
UNF Graduate Theses and Dissertations
In PDEs with nontrivial Lie symmetry algebras, the Lie symmetry naturally yield Fourier and Laplace transforms of fundamental solutions. Applying this fact we discuss the semidirect product of the metaplectic group and the Heisenberg group, then induce a representation our group and use it to investigate the invariant solutions of a general differential equation of the form .