Search for dissertations about: "simplicial"

Showing result 1 - 5 of 28 swedish dissertations containing the word simplicial.

  2. 1. Simplicial Complexes of Graphs

    Author : Jakob Jonsson; Anders Björner; John Shareshian; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Algebra and geometry; simplicial complex; monotone graph property; discrete Morse theory; simplicial homology; homotopy type; connectivity degree; Cohen-Macaulay complex; Euler characteristic; decision tree; Algebra och geometri; Algebra and geometry; Algebra och geometri;

    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

  4. 2. Simplicial Structure on Complexes

    Author : Djalal Mirmohades; Volodymyr Mazorchuk; Vanessa Miemietz; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : .... READ MORE

  5. 3. Enumeration of spanning trees in simplicial complexes

    Author : Anna Petersson; Svante Janson; Lars Svensson; Axel Hultman; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Abstract : .... READ MORE

  6. 4. Enumeration on words, complexes and polytopes

    Author : Ragnar Freij; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Simplicial complex; discrete Morse theory; Hansen polytope; $3^d$-conjecture; split graph; derangement; pattern containment; pattern packing; composition.; composition.;

    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

  7. 5. Ekedahl Invariants, Veronese Modules and Linear Recurrence Varieties

    Author : Ivan Martino; Anders Björner; Volkmar Welker; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Ekedahl Invariants; Noether Problem; Bogomolov Multiplier; Cyclic quotient singularities; Veronese Modules; Pile simplicial complex; Semigroup Rings; Betti Numbers; Mathematics; matematik;

    Abstract : The title of this thesis refers to the three parts of which it is composed.The first part concerns the Ekedahl Invariants, new geometric invariants for finite groups introduced in 2009 by Torsten Ekedahl. READ MORE