The complexity of domination problems in circle graphs
Discrete Applied Mathematics
Approximating treewidth, pathwidth, frontsize, and shortest elimination tree
Journal of Algorithms
Meyniel weakly triangulated graphs—I: co-perfect orderability
Discrete Applied Mathematics
Treewidth for graphs with small chordality
Proceedings of the 4th Twente workshop on Graphs and combinatorial optimization
Listing all Minimal Separators of a Graph
SIAM Journal on Computing
Graph classes: a survey
Treewidth and Minimum Fill-in: Grouping the Minimal Separators
SIAM Journal on Computing
Exact algorithms for NP-hard problems: a survey
Combinatorial optimization - Eureka, you shrink!
Dynamic programming and fast matrix multiplication
ESA'06 Proceedings of the 14th conference on Annual European Symposium - Volume 14
Finding a dominating set on bipartite graphs
Information Processing Letters
Pathwidth of cubic graphs and exact algorithms
Information Processing Letters
Measure and conquer: domination – a case study
ICALP'05 Proceedings of the 32nd international conference on Automata, Languages and Programming
Algorithmics in exponential time
STACS'05 Proceedings of the 22nd annual conference on Theoretical Aspects of Computer Science
Exact (exponential) algorithms for the dominating set problem
WG'04 Proceedings of the 30th international conference on Graph-Theoretic Concepts in Computer Science
An improved approximation algorithm for spanning star forest in dense graphs
COCOA'10 Proceedings of the 4th international conference on Combinatorial optimization and applications - Volume Part II
Improved approximation for spanning star forest in dense graphs
Journal of Combinatorial Optimization
Parameterized Domination in Circle Graphs
Theory of Computing Systems
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The minimum dominating set problem remains NP-hard when restricted to any of the following graph classes: c-dense graphs, chordal graphs, 4-chordal graphs, weakly chordal graphs, and circle graphs. Developing and using a general approach, for each of these graph classes we present an exponential time algorithm solving the minimum dominating set problem faster than the best known algorithm for general graphs. Our algorithms have the following running time: O(1.4124n) for chordal graphs, O(1.4776n) for weakly chordal graphs, O(1.4845n) for 4-chordal graphs, O(1.4887n) for circle graphs, and O(1.2273(1+&sqrt;1−2c)n) for c-dense graphs.