TY - JOUR
AB - 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.
AU - Kerber, Michael
AU - Sagraloff, Michael
ID - 3332
IS - 3
JF - Graphs and Combinatorics
TI - A note on the complexity of real algebraic hypersurfaces
VL - 27
ER -