@article{3332, abstract = {Given an algebraic hypersurface O in ℝd, how many simplices are necessary for a simplicial complex isotopic to O? We address this problem and the variant where all vertices of the complex must lie on O. We give asymptotically tight worst-case bounds for algebraic plane curves. Our results gradually improve known bounds in higher dimensions; however, the question for tight bounds remains unsolved for d ≥ 3.}, author = {Kerber, Michael and Sagraloff, Michael}, journal = {Graphs and Combinatorics}, number = {3}, pages = {419 -- 430}, publisher = {Springer}, title = {{A note on the complexity of real algebraic hypersurfaces}}, doi = {10.1007/s00373-011-1020-7}, volume = {27}, year = {2011}, }