Primitivity is hereditary for 2-structures
Theoretical Computer Science
On the homogenous representation of interval graphs
Journal of Graph Theory
Computing independent sets in graphs with large girth
Discrete Applied Mathematics
Approximating discrete collections via local improvements
Proceedings of the sixth annual ACM-SIAM symposium on Discrete algorithms
Modular decomposition and transitive orientation
Discrete Mathematics - Special issue on partial ordered sets
Stable sets in certain P6-free graphs
Discrete Applied Mathematics
An augmenting graph approach to the stable set problem in P5-free graphs
Discrete Applied Mathematics
Polynomial algorithm for finding the largest independent sets in graphs without forks
Discrete Applied Mathematics
Augmenting graphs for independent sets
Discrete Applied Mathematics - The fourth international colloquium on graphs and optimisation (GO-IV)
Parameterized Complexity Theory (Texts in Theoretical Computer Science. An EATCS Series)
Parameterized Complexity Theory (Texts in Theoretical Computer Science. An EATCS Series)
On clique separators, nearly chordal graphs, and the Maximum Weight Stable Set Problem
Theoretical Computer Science
Discrete Applied Mathematics
Solving some NP-complete problems using split decomposition
Discrete Applied Mathematics
Simpler Linear-Time Modular Decomposition Via Recursive Factorizing Permutations
ICALP '08 Proceedings of the 35th international colloquium on Automata, Languages and Programming, Part I
On the parameterized complexity of multiple-interval graph problems
Theoretical Computer Science
Triangles, 4-cycles and parameterized (in-)tractability
SWAT'06 Proceedings of the 10th Scandinavian conference on Algorithm Theory
Fixed parameter tractability of independent set in segment intersection graphs
IWPEC'06 Proceedings of the Second international conference on Parameterized and Exact Computation
Parameterized Complexity
Journal of Discrete Algorithms
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The maximum independent set problem is NP-complete for graphs in general, but becomes solvable in polynomial time when restricted to graphs in many special classes. The problem is also intractable from a parameterized point of view. However, very little is known about parameterized complexity of the problem in restricted graph classes. In the present paper, we analyse two techniques that have previously been used to solve the problem in polynomial time for graphs in particular classes and apply these techniques to develop fpt-algorithms for graphs in some classes where the problem remains NP-complete.