Search for dissertations about: "discrete Morse theory"
Showing result 1 - 5 of 8 swedish dissertations containing the words discrete Morse theory.
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1. Combinatorial Considerations on Two Models from Statistical Mechanics
Abstract : 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. READ MORE
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2. Enumeration on words, complexes and polytopes
Abstract : 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. READ MORE
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3. Topics in algorithmic, enumerative and geometric combinatorics
Abstract : 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. READ MORE
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4. Smooth Schubert varieties and boolean complexes of involutions
Abstract : 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. READ MORE
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5. Simplicial Complexes of Graphs
Abstract : 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. READ MORE