Search for dissertations about: "combinatorics"
Showing result 11 - 15 of 46 swedish dissertations containing the word combinatorics.
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11. Combinatorics of stable polynomials and correlation inequalities
Abstract : This thesis contains five papers divided into two parts. In the first part, Papers I-IV, we study polynomials within the field of combinatorics. Here we study combinatorial properties as well as the zero distribution of the polynomials in question. The second part consists of Paper V, where we study correlating events in randomly oriented graphs. READ MORE
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12. Minimal models in algebra, combinatorics and topology
Abstract : The thesis consists of seven papers.In Paper I, II, III, IV and V, we study homological invariants of monomial rings — rings of the form R = k[x1, . . . READ MORE
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13. 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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14. Topological and Shifting Theoretic Methods in Combinatorics and Algebra
Abstract : This thesis consists of six papers related to combinatorics and commutative algebra.In Paper A, we use tools from topological combinatorics to describe the minimal free resolution of ideals with a so called regular linear quotient. Our result generalises the pervious results by Mermin and by Novik, Postnikov & Sturmfels. READ MORE
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15. On unimodality and real-rootedness of polynomials in combinatorics
Abstract : .... READ MORE