Fixed Parameter Algorithms for PLANAR DOMINATING SET and Related Problems
SWAT '00 Proceedings of the 7th Scandinavian Workshop on Algorithm Theory
Subexponential Parameterized Algorithms Collapse the W-Hierarchy
ICALP '01 Proceedings of the 28th International Colloquium on Automata, Languages and Programming,
Parameterized Complexity: Exponential Speed-Up for Planar Graph Problems
ICALP '01 Proceedings of the 28th International Colloquium on Automata, Languages and Programming,
Parameterized Complexity
Efficient Data Reduction for DOMINATING SET: A Linear Problem Kernel for the Planar Case
SWAT '02 Proceedings of the 8th Scandinavian Workshop on Algorithm Theory
Graph Separator Algorithms: A Refined Analysis
WG '02 Revised Papers from the 28th International Workshop on Graph-Theoretic Concepts in Computer Science
WG '02 Revised Papers from the 28th International Workshop on Graph-Theoretic Concepts in Computer Science
Theory and application of width bounded geometric separators
Journal of Computer and System Sciences
Theory and application of width bounded geometric separator
STACS'06 Proceedings of the 23rd Annual conference on Theoretical Aspects of Computer Science
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Graph separation is a well-known tool to make (hard) graph problems accessible for a divide and conquer approach. We show how to use graph separator theorems in order to develop fixed parameter algorithms for many well-known NP-hard (planar) graph problems. We coin the key notion of glueable select&verify graph problems and derive from that a prospective way to easily check whether a planar graph problem will allow for a fixed parameter divide and conquer algorithm of running time c√k ċ nO(1) for a constant c.