Article ID Journal Published Year Pages File Type
437130 Theoretical Computer Science 2006 19 Pages PDF
Abstract

We study low degree graph problems such as Maximum Independent Set and Minimum Vertex Cover. The goal is to improve approximation lower bounds for them and for a number of related problems like Max-B-Set Packing, Min-B-Set Cover, and Max-B-Dimensional Matching, B⩾3. We prove, for example, that it is NP-hard to achieve an approximation factor of for Max-3-DM, and a factor of for Max-4-DM. In both cases the hardness result applies even to instances with exactly two occurrences of each element.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics