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Now showing items 1-8 of 8

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    A recursive formula for the Khovanov cohomology of a family of 3-stranded pretzel knots 

    Meier, Jeffrey (2009)
    After reviewing the process of associating graded cohomology groups (Khovanov cohomology) to a knot, we prove two lemmas that reduce the computational complexity of calculating the Khovanov cohomology. We then prove a ...
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    Coevolutionary Approaches to Generating Robust Build-Orders for Real-Time Strategy Games 

    Ballinger, Christopher Alan (2014)
    We aim to find winning build-orders for Real-Time Strategy games. Real-Time Strategy games provide a variety of challenges, from short-term control to longer term planning. We focus on a longer-term planning problem; which ...
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    Combinatorial Knot Floer Homology 

    Nair, Divya Sukumaran (2012)
    Knot Floer Homology HFK(K) of a knot K in S^3 was defined by Peter Ozsváth and Zoltan Szabó in 2003. It has since become powerful invariant for the study of properties of knots. The definition of the Knot Floer Homology ...
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    Creative Design Using Collaborative Interactive Genetic Algorithms 

    Quiroz, Juan Carlos (2010)
    I propose a computational model of creative design based on collaborative interactive genetic algorithms. My model enhances creativity in the conceptual design phase by allowing designers to guide genetic algorithms in ...
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    Finding n-Power Extensions of Groups 

    Taylor, William Dixon (2010)
    In this paper we consider the group-theoretic analogue of Galois Theory. That is, given a group <italic>G</italic> and a natural number <italic>n</italic>, we find groups <italic>H</italic> such that <italic>G</italic> ...
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    Rational Witt Classes of 4-Stranded Pretzel Knots 

    Kelly, Tynan Blaine (2010)
    The rational Witt classes of knots are invariants related to knot concordance. Although they are somewhat weaker than other concordance invariants, for example, the algebraic concordance classes, they are much easier to ...
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    Wallpapering the Hyperbolic Plane: Discrete Subgroups Of the Euclidean and Hyperbolic Planes 

    Coates, Susannah (2014)
    The question driving this thesis is, \lq\lq{}What are the hyperbolic analogues of the Euclidean wallpaper groups?\rq\rq{}We first investigate symmetry groups of the Euclidean plane, the frieze and wallpaper groups, ...
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    Witt Rings and Algebraic Knot Concordance 

    Reece, Clinton James (2013)
    The (knot) concordance group was introduced by Fox and Milnor in 1966. Since then some progress has been made studying both slice knots and concordance, though even some basic questions remain unanswered. We discuss the ...