Results 81 to 90 of about 13,803 (191)
A Path Forward: Tropicalization in Extremal Combinatorics
Grigoriy Blekherman, Annie Raymond
openalex +2 more sources
Extremal combinatorics in generalized Kneser graphs
This thesis focuses on the interplay of extremal combinatorics and finite geometry. Combinatorics is concerned with discrete (and usually finite) objects. Extremal combinatorics studies how large or how small a collection of finite objects can be under certain restrictions. Those objects can be sets, graphs, vectors, etc.
openaire +2 more sources
Continuous optimisation in extremal combinatoricst
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.
openaire +3 more sources
Algebras, Graphs and Ordered Sets - ALGOS 2020 & the Mathematical Contributions of Maurice Pouzet. [PDF]
Couceiro M, Duffus D.
europepmc +1 more source
Exploring implications of Trace (Inversion) formula and Artin algebras in extremal combinatorics [PDF]
Luis Miguel Pardo
openalex +1 more source
Topics in metric geometry, combinatorial geometry, extremal combinatorics and additive combinatorics
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 ...
openaire +2 more sources
Linear independence over naturally-ordered semirings with applications to dimension arguments in extremal combinatorics [PDF]
Gal Gross
openalex +2 more sources
Solvable models of quantum black holes: a review on Jackiw-Teitelboim gravity. [PDF]
Mertens TG, Turiaci GJ.
europepmc +1 more source