The main topics in this introductory text to discrete geometry include basics on convex sets, convex polytopes and hyperplane arrangements, combinatorial complexity of geometric configurations, intersection patterns and transversals of convex sets, geometric Ramsey-type results, and embeddings of finite metric spaces into normed spaces. In each area, the text explains several key results and methods.... 245(10.3.3) a for half-spaces, 244(10.3.1) a for triangles, 250(Ex. 1) vector a f-vector, 96 a a of a representable ... 12(Ex. 4) a approximation, 322, 322(Ex. 4 ) a bisection, 57 WigneraSeitz zones, 120 wiring diagram, 133 A-simplex, 208anbsp;...
|Title||:||Lectures on Discrete Geometry|
|Publisher||:||Springer Science & Business Media - 2013-12-01|