Simplicial Perturbation Techniques and Effective Homology
In this paper, we deal with the problem of the computation of the homology of a finite simplicial complex after an “elementary simplicial perturbation” process such as the inclusion or elimination of a maximal simplex or an edge contraction. To this aim we compute an algebraic topological model that is a special chain homotopy equivalence connecting the simplicial complex with its homology (working with a field as the ground ring).
KeywordsSimplicial Complex Chain Complex Betti Number Incremental Algorithm Ground Ring
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