Results 101 to 110 of about 14,274 (218)
Probabilistic and extremal studies in additive combinatorics
, 2023 The results in this thesis concern extremal and probabilistic topics in number theoretic settings. We prove sufficient conditions on when certain types of integer solutions to linear systems of equations in binomial random sets are distributed normally, results on the typical approximate structure of pairs of integer subsets with a given sumset ...
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An extremal problem on potentially $K_{m}-P_{k}$-graphic sequences
, 2005 A sequence $S$ is potentially $K_{m}-P_{k}$ graphical if it has a realization containing a $K_{m}-P_{k}$ as a subgraph. Let $\sigma(K_{m}-P_{k}, n)$ denote the smallest degree sum such that every $n$-term graphical sequence $S$ with $\sigma(S)\geq \sigma(
Lai, Chunhui
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Algebras, Graphs and Ordered Sets - ALGOS 2020 & the Mathematical Contributions of Maurice Pouzet. [PDF]
Order (Dordr), 2023 Couceiro M, Duffus D.
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Topics in metric geometry, combinatorial geometry, extremal combinatorics and additive combinatorics
, 2018 In this thesis, we consider several combinatorial topics, belonging to the areas appearing in the thesis title. Given a non-empty complete metric space $(X,d)$, a family of $n$ continuous maps $f_1,f_2,\dots,f_n\colon X\to X$ is a \emph{contractive family} if there exists $\lambda<1$ such that for any $x,y\in X$ we have $d(f_i(x),f_i(y))\leq\lambda ...
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Solvable models of quantum black holes: a review on Jackiw-Teitelboim gravity. [PDF]
Living Rev Relativ, 2023 Mertens TG, Turiaci GJ.
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Continuous optimisation in extremal combinatoricst
, 2017 In this thesis we explore instances in which tools from continuous optimisation can be used to solve problems in extremal graph and hypergraph theory. We begin by introducing a generalised notion of hypergraph Lagrangian and use tools from the theory of nonlinear optimisation to explore some of its properties.
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Advancing mathematics by guiding human intuition with AI. [PDF]
Nature, 2021 Davies A +13 more
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Problems in extremal and probabilistic combinatorics
, 2017 Natasha Morrison, Noel, Jonathan A.
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What cannot be seen correctly in 2D visualizations of single-cell 'omics data? [PDF]
Cell Syst, 2023 Wang S, Sontag ED, Lauffenburger DA.
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