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Browse Dissertations and Theses - Mathematics by Contributor "Balogh, Jozsef"

  • Coloring problems in combinatorics and descriptive set theory 
    Bernshteyn, Anton (2018-05-02)
    In this dissertation we study problems related to colorings of combinatorial structures both in the “classical” finite context and in the framework of descriptive set theory, with applications to topological dynamics and ...

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  • Extremal graph theory: supersaturation and enumeration 
    Liu, Hong (2015-12-04)
    In this thesis, we study supersaturation and enumeration problems in extremal combinatorics. In Chapter 2, with Balogh, we disprove a conjecture of Erdos and Tuza concerning the number of different ways one can create a ...

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  • Extremal problems in disjoint cycles and graph saturation 
    Yeager, Elyse Christine (2015-04-23)
    In this thesis, we tackle two main themes: sufficient conditions for the existence of particular subgraphs in a graph, and variations on graph saturation. Determining whether a graph contains a certain subgraph is a ...

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  • Extremal problems on counting combinatorial structures 
    Petrickova, Sarka (2017-04-19)
    The fast developing field of extremal combinatorics provides a diverse spectrum of powerful tools with many applications to economics, computer science, and optimization theory. In this thesis, we focus on counting and ...

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  • On some problems in extremal, probabilistic and enumerative combinatorics 
    Wagner, Zsolt Adam (2018-04-11)
    This is a study of a small selection of problems from various areas of Combinatorics and Graph Theory, a fast developing field that provides a diverse spectrum of powerful tools with numerous applications to computer ...

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  • Sparse color-critical graphs and rainbow matchings in edge-colored graphs 
    Yancey, Matthew (2013-05-24)
    This thesis focuses on extremal problems about coloring graphs and on finding rainbow matchings in edge-colored graphs. A graph $G$ is $k$-{\em critical} if $G$ is not $(k-1)$-colorable, but every proper subgraph of $G$ ...

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  • Viewing extremal and structural problems through a probabilistic lens 
    Delcourt, Michelle Jeannette (2017-03-27)
    This thesis focuses on using techniques from probability to solve problems from extremal and structural combinatorics. The main problem in Chapter 2 is determining the typical structure of $t$-intersecting families in ...

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    application/pdfPDF (741kB)Restricted to U of Illinois