Probabilistic and Analytic Methods in Combinatorics by Sawhney, Mehtaab

“…This thesis studies a range of topics across combinatorics, broadly defined. The second chapter of this thesis addresses a longśstanding question of Erdős regarding the existence of high girth Steiner triple systems. …”
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Correlation and combinatorics: causal contextuality and spin systems by Searle, AJ

18.217 Graph Theory and Additive Combinatorics, Fall 2019 by Zhao, Yufei

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Generative Stochastic Modeling of Strongly Nonlinear Flows with Non-Gaussian Statistics by Arbabi, Hassan, Sapsis, Themistoklis

Subjects: “…Discrete Mathematics and Combinatorics…”
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Equiangular lines in low dimensional Euclidean spaces by Greaves, Gary Royden Watson, Syatriadi, Jeven, Yatsyna, Pavlo

Subjects: “…Science::Mathematics::Discrete mathematics::Combinatorics…”
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Affine extensions of the Petersen graph and 2-arc-transitive graphs of girth 5 by Pasechnik, Dmitrii V.

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On the clique number of a strongly regular graph by Greaves, Gary Royden Watson, Soicher, Leonard H.

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Graph homomorphisms via vector colorings by Godsil, Chris, Roberson, David E., Rooney, Brendan, Šámal, Robert, Varvitsiotis, Antonios

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Discrete Mathematics/ by Biggs, Norman L., author 306897

“…The topics covered include the elements of graph theory, combinatorics, number theory, the theory of algorithms, abstract algebra, and coding theory."…”

Applications of a New Separator Theorem for String Graphs by Fox, Jacob, Pach, Janos

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Intersection Graphs of Maximal Sub-polygons of k-Lizards by Daugherty, Caroline, Laison, Joshua D., Robinson, Rebecca, Salois, Kyle

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A cluster of results on amplituhedron tiles by Even-Zohar, Chaim, Lakrec, Tsviqa, Parisi, Matteo, Sherman-Bennett, Melissa, Tessler, Ran, Williams, Lauren

“…It generalizes cyclic polytopes and the positive Grassmannian and has a very rich combinatorics with connections to cluster algebras. In this article, we provide a series of results about tiles and tilings of the 𝑚=4 amplituhedron. …”
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Influences in Mixing Measures by Koehler, Frederic, Lifshitz, Noam, Minzer, Dor, Mossel, Elchanan

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Diameter-free estimates for the quadratic Vinogradov mean value theorem by Mudgal, A

“…Consequently, our strategy differs from these two lines of approach, and we employ techniques from incidence geometry, arithmetic combinatorics and analytic number theory. Amongst other applications, our estimates lead to stronger discrete restriction estimates for sparse sequences.…”

On the largest product-free subsets of the alternating groups by Keevash, Peter, Lifshitz, Noam, Minzer, Dor

“…Our proof uses a combination of tools from Combinatorics and Non-abelian Fourier Analysis, including a crucial new ingredient exploiting some recent theory developed by Filmus, Kindler, Lifshitz and Minzer for global hypercontractivity on the symmetric group.…”
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Kazhdan-Laumon Categories and Representations by Morton-Ferguson, Calder

“…We first define and study an analogue of the Bernstein-Gelfand-Gelfand Category O for Kazhdan-Laumon categories and study its combinatorics, establishing connections to Braverman-Kazhdan’s Schwartz space on the basic affine space and the semi-infinite flag variety. …”
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Crossing and intersecting families of geometric graphs on point sets by Álvarez-Rebollar, J. L., Cravioto-Lagos, J., Marín, N., Solé-Pi, O., Urrutia, J.

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Efficient algorithms for embedded optimisation-based control by Dang, Van Thuy

“…However, the current stability analysis framework for E-SAC, the State-dependent Random-time Drift approach, becomes combinatoric and difficult to use when extending to the multi-control law E-SAC. …”
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