Blar i forfatter Doktorgradsavhandlinger (NT-fak) "Roksvold, Jan Nyquist"
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Some combinatorial invariants determined by Betti numbers of Stanley-Reisner ideals
Roksvold, Jan Nyquist (Doctoral thesis; Doktorgradsavhandling, 2015-09-08)The thesis contains new results on the connection between the algebraic properties of certain ideals of a polynomial ring and properties of error-correcting linear codes, matroids and simplicial complexes. We demonstrate that the graded Betti numbers of the facet ideal of a matroid are determined by the Betti numbers of the blocks of the matroid. The extended weight enumerator of coding theory is ...