Browsing Faculty of Graduate Studies Online Theses by Subject "Betti numbers"

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  • Algebraic Properties of Monomial Ideals 

    Alilooee, Ali (2015)
    In this thesis we first study a special class of squarefree monomial ideals, namely, path ideals. We give a formula to compute all graded Betti numbers of the path ideal of a cycle and a path. As a consequence we can give ...

  • On the combinatorics of resolutions of monomial ideals 

    Erey, Nursel (2015)
    In this thesis, we investigate the relation between invariants of minimal free resolutions of monomial ideals and combinatorial properties of simplicial complexes. We provide a sufficient combinatorial condition for monomial ...