Geometric hitting set, set cover and generalized class cover problems with half-strips in opposite directions

Abstract

We show that hitting set and set cover problems with half-strips oriented in two opposite directions are NP-complete. Further, we prove that two variations of the generalized class cover problem on half-strips oriented in two opposite directions are NP-complete, thus resolving two open problems we posed in Mudgal and Pandit (2014) [12].