Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 5 of 5 for “"affine planes"”.
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Loops and Finite Affine Planes
The Prime Power Conjecture for Finite Projective Planes motivates the research that we present here. We establish a correspondence between finite affine planes and certain finite fibered loops. We prove that certain finite affine planes must have even prime power order. Finally, we characterize the …
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Coloring and constructing (hyper)graphs with restrictions
… true: we construct families of graphs based on affine planes whose choice number exceeds their chromatic number by a logarithmic factor. In Chapter 5 we consider the existence of uniform hypergraphs with prescribed degrees and codegrees. In Section 5.2, we show that a generalization of the …
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Nontraditional Positional Games: New methods and boards for playing Tic-Tac-Toe
… the traditional Tic-Tac-Toe board, on the finite planes <i>AG(2, q)</i> and <i>PG(2, q)</i> as well as on a new class of boards which we call nested boards. A nested board is created by replacing the points of one board with copies of a second board. We also consider the traditional positional …
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Nontraditional Positional Games: New methods and boards for playing Tic-Tac-Toe
… the traditional Tic-Tac-Toe board, on the finite planes <i>AG(2, q)</i> and <i>PG(2, q)</i> as well as on a new class of boards which we call nested boards. A nested board is created by replacing the points of one board with copies of a second board. We also consider the traditional positional …