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Applications of Continuous Combinatorics to Quasirandomness and Extremal Combinatorics
2021The theory of limits of dense combinatorial objects studies the asymptotic behavior of densities of small templates in an increasing sequence of combinatorial objects. The inaugural limit theory of graphons captures limits of graph sequences in a semantic limit object that can be thought of as a fractional version of an adjacency matrix. Since graphons
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Problems in Discrete Geometry and Extremal Combinatorics
2016We study several problems in discrete geometry and extremal combinatorics. Discrete geometry studies the combinatorial properties of finite sets of simple geometric objects. One theme of the field is geometric Ramsey theory. Given m geometric objects, we want to select a not too small subset forming a configuration that is “regular” in some sense.
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Representation theory methods in extremal combinatorics
2016The research of this thesis lies in the area of extremal combinatorics. The word "extremal" comes from the kind of problems that are studied in this field. In fact, if a collection of finite objects (numbers, subsets, subspaces, graphs, etc.) satisfies some restrictions then the following questions are of interest from the perspective of extremal ...
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Symmetry, Combinatorics, Artificial Intelligence, Music and Spectroscopy
Symmetry, 2021Krishnan Balasubramanian
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Tilting theory and cluster combinatorics
Advances in Mathematics, 2006Aslak Bakke Buan +2 more
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Combinatorics and topology of Kawai-Lewellen-Tye relations
Journal of High Energy Physics, 2017Sebastian Mizera
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Topological Classification of Crystalline Insulators through Band Structure Combinatorics
Physical Review X, 2017Jorrit Kruthoff +2 more
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