AbstractsPhilosophy & Theology

Parameterized Complexity of Graph Constraint Logic

by TC van Zanden

Institution: Universiteit Utrecht
Year: 2015
Keywords: nondeterministic constraint logic; parameterized complexity; pspace; treewidth; bandwidth; rush hour; reconfiguration problems
Posted: 02/05/2017
Record ID: 2084643
Full text PDF: http://dspace.library.uu.nl:8080/handle/1874/315914


Graph constraint logic is a framework introduced by Hearn and Demaine, which provides several problems that are often a convenient starting point for reductions. We study the parameterized complexity of Constraint Graph Satisfiability and both bounded and unbounded versions of Nondeterministic Constraint Logic (NCL) with respect to solution length, treewidth and maximum degree of the underlying constraint graph as parameters. As a main result we show that restricted NCL remains PSPACE-complete on graphs of bounded bandwidth, strengthening Hearn and Demaine's framework. This allows us to improve upon existing results obtained by reduction from NCL, and we show that reconfiguration versions of several classical graph problems (including independent set, feedback vertex set and dominating set) are PSPACE-complete on planar graphs of bounded bandwidth. Advisors/Committee Members: Bodlaender, H.L..