Main Goals and Proof Techniques
For the complexes introduced in the three preceding chapters, there are five parameters that we are particularly interested in:(1)homology, (2)homotopy type, (3)depth, (4)connectivity degree, and (5)Euler characteristic.In some cases, our analysis leads to more specific information about the complexes such as a large vertex-decomposable skeleton or an optimal decision tree.Still, our focus remains on the five listed parameters.
KeywordsSimplicial Complex Euler Characteristic Homotopy Type Proof Technique Graph Property
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