@techreport{R-85-13, TITLE = {On Partitioning Polygons}, AUTHOR = {Andrzej Lingas}, YEAR = {1985}, NUMBER = {R-85-13}, INSTITUTION = ida, ADDRESS = idaaddr, ABSTRACTURL = {/publications/cgi-bin/tr-fetch.pl?r-85-13+abstr}, ABSTRACT = {Chazelle has shown how to partition any simple polygon P into two polygons, each of total weight not greater than two thirds of the total weight of P, by drawing a diagonal within P. Under the assumption that a triangulation of P is given, we provide a straightforward proof of Chazelles theorem and derive generalizations of the theorem to include polygons with polygonal holes. The generalizations are main results of the paper.}, IDANR = {LiTH-IDA-R-85-13}, NOTE = {Also in Proc. of the 1st ACM Symposium on Computational Geometry, Baltimore, Maryland, June 5-7, 1985}