Sökning: "combinatorics"
Visar resultat 1 - 5 av 46 avhandlingar innehållade ordet combinatorics.
1. Topological Combinatorics
Sammanfattning : This thesis on Topological Combinatorics contains 7 papers. All of them but paper Bare published before.In paper A we prove that!i dim ˜Hi(Ind(G);Q) ! |Ind(G[D])| for any graph G andits independence complex Ind(G), under the condition that G\D is a forest. LÄS MER
2. Causal Combinatorics : Edges of the Characteristic Imset Polytopes
Sammanfattning : Explaining data in a concise and efficient manner has become increasingly important in today's society. This thesis pertains to the problem of finding causal links within data, and how that can be done from a mathematical perspective. Using the framework of graphical models has several advantages, from interpretability to efficiency. LÄS MER
3. Combinatorial Methods in Complex Analysis
Sammanfattning : The theme of this thesis is combinatorics, complex analysis and algebraic geometry. The thesis consists of six articles divided into four parts.Part A: Spectral properties of the Schrödinger equationThis part consists of Papers I-II, where we study a univariate Schrödinger equation with a complex polynomial potential. LÄS MER
4. Externally positive systems : Analysis and control based on combinatorial polynomials
Sammanfattning : Monotonic tracking is required in many control systems, including those that cannot tolerate any overshoots and undershoots in their closed-loop responses. Classical examples are found in vehicle cruise control and liquid tank level control. LÄS MER
5. Combinatorics and zeros of multivariate polynomials
Sammanfattning : This thesis consists of five papers in algebraic and enumerative combinatorics. The objects at the heart of the thesis are combinatorial polynomials in one or more variables. We study their zeros, coefficients and special evaluations. Hyperbolic polynomials may be viewed as multivariate generalizations of real-rooted polynomials in one variable. LÄS MER
