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Full-Text Articles in Physical Sciences and Mathematics
A Dna Approach To The Road-Coloring Problem, Arindam Roy
A Dna Approach To The Road-Coloring Problem, Arindam Roy
Theses and Dissertations - UTB/UTPA
The Road-Coloring Problem in graph theory can be stated as follows: Is any irreducible aperiodic directed graph with constant outdegree 2 road-colorable? In other words, does such a graph have a synchronizing instruction? That is to say: can we label (or color) the two outgoing edges at each vertex, one with “b” or blue color and the other with “r” or red color, in such a manner that there will be an instruction in the form of a finite sequence in “b”s and “r”s (example: rrbrbbbr) such that this instruction will lead each vertex to the same “target” vertex? This …
Reaction-Diffusion Systems With A Nonlinear Rate Of Growth, Yubing Wan
Reaction-Diffusion Systems With A Nonlinear Rate Of Growth, Yubing Wan
Theses and Dissertations - UTB/UTPA
In the literature there are quite a few elegant approaches which have been proposed to find (he first integrals of nonlinear differential equations. Recently, the modified Prelle-Singer method for finding the first integrals of second-order nonlinear ordinary differential equations (ODEs) has attracted considerable attention. Many researchers used this method to derive the first integrals to various systems. In this thesis, we are concerned with the first integrals for reaction-diffusion systems with a nonlinear rate of growth. Under certain parametric conditions we express the first integrals explicitly by applying an analytical method as well as the modified Prelle-Singer method.