6.838, Computational Geometry; Fall 2001

Point Location

Sergi Elizalde & David Pritchard

A Tail Estimate

Define the following random variables on source-to-sink paths in this graph:

Xi =
{ 1 if the ith arc on the path is marked
0 otherwise

Note Pr[Xi=1] £ 4/i

These variables are independent, so we can apply Chernoff's inequality to .