Template-type: ReDif-Paper 1.0 Author-Name: Bodlaender Hans Author-Name: Grigoriev Alexander Author-workplace-name: METEOR Title: Algorithms for graphs embeddable with few crossings per edge Abstract: We consider graphs that can be embedded on a surface of bounded genus such that each edge has a bounded number of crossings. We prove that many optimization problems, including maximum independent set, minimum vertex cover, minimum dominating set and many others, admit polynomial time approximation schemes when restricted to such graphs. This extends previous results by Baker [1] and Eppstein [3] to a much broader class of graphs. Keywords: operations research and management science; Series: Research Memoranda Creation-Date: 2004 Number: 036 File-URL: http://digitalarchive.maastrichtuniversity.nl/fedora/objects/guid:dfa150f5-366c-4fed-a557-d7e7e7d3e75f/datastreams/ASSET1/content File-Format: application/pdf File-Size: 130097 Handle: RePEc:unm:umamet:2004036