Sökning: "Discrete Morse theory"
Visar resultat 1 - 5 av 8 avhandlingar innehållade orden Discrete Morse theory.
1. Combinatorial Considerations on Two Models from Statistical Mechanics
Sammanfattning : Interactions between combinatorics and statistical mechanics have provided many fruitful insights in both fields. A compelling example is Kuperberg’s solution to the alternating sign matrix conjecture, and its following generalisations. LÄS MER
2. Enumeration on words, complexes and polytopes
Sammanfattning : This thesis presents four papers, studying enumerative problems on combinatorial structures. The first paper studies Forman's discrete Morse theory in the case where a group acts on the underlying complex. LÄS MER
3. Topics in algorithmic, enumerative and geometric combinatorics
Sammanfattning : This thesis presents five papers, studying enumerative and extremal problems on combinatorial structures. The first paper studies Forman's discrete Morse theory in the case where a group acts on the underlying complex. LÄS MER
4. Smooth Schubert varieties and boolean complexes of involutions
Sammanfattning : This thesis is composed of two papers both in algebraic combinatorics and Coxeter groups.In Paper I, we concentrate on smoothness of Schubert varieties indexed by involutions from finite simply laced types. LÄS MER
5. Simplicial Complexes of Graphs
Sammanfattning : Let G be a finite graph with vertex set V and edge set E. A graph complex on G is an abstract simplicial complex consisting of subsets of E. In particular, we may interpret such a complex as a family of subgraphs of G. LÄS MER