Efficient algorithms for combinatorial problems on graphs with bounded, decomposability—a survey
BIT - Ellis Horwood series in artificial intelligence
The NP-completeness column: An ongoing guide
Journal of Algorithms
Incremental modular decomposition
Journal of the ACM (JACM)
Achromatic number is NP-complete for cographs and interval graphs
Information Processing Letters
k-NLC graphs and polynomial algorithms
Discrete Applied Mathematics - Special issue: efficient algorithms and partial k-trees
.879-approximation algorithms for MAX CUT and MAX 2SAT
STOC '94 Proceedings of the twenty-sixth annual ACM symposium on Theory of computing
A Linear-Time Algorithm for Finding Tree-Decompositions of Small Treewidth
SIAM Journal on Computing
Generalized coloring for tree-like graphs
Discrete Applied Mathematics
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Linear Time Solvable Optimization Problems on Graphs of Bounded Clique Width
WG '98 Proceedings of the 24th International Workshop on Graph-Theoretic Concepts in Computer Science
Linear algorithms on k-terminal graphs
Linear algorithms on k-terminal graphs
Polynomial Time Approximation Schemes for MAX-BISECTION on Planar and Geometric Graphs
STACS '01 Proceedings of the 18th Annual Symposium on Theoretical Aspects of Computer Science
On algorithms for (P5,gem)-free graphs
Theoretical Computer Science - Graph colorings
Note: MAX-CUT and MAX-BISECTION are NP-hard on unit disk graphs
Theoretical Computer Science
Solving some NP-complete problems using split decomposition
Discrete Applied Mathematics
MAX-CUT and containment relations in graphs
WG'10 Proceedings of the 36th international conference on Graph-theoretic concepts in computer science
Coloring a graph using split decomposition
WG'04 Proceedings of the 30th international conference on Graph-Theoretic Concepts in Computer Science
Graphs of separability at most 2
Discrete Applied Mathematics
Note: max-cut and containment relations in graphs
Theoretical Computer Science
An exact algorithm for MAX-CUT in sparse graphs
Operations Research Letters
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The complexity of the SIMPLE MAX CUT problem is investigated for several special classes of graphs. It is shown that this problem is NP-complete when restricted to one of the following classes: chordal graphs, undirected path graphs, split graphs, tripartite graphs, and graphs that are the complement of a bipartite graph. The problem can be solved in polynomial time, when restricted to graphs with bounded treewidth, or cographs. We also give large classes of graphs that can be seen as generalizations of classes of graphs with bounded treewidth and of the class of cographs, and allow polynomial time algorithms for the SIMPLE MAX CUT problem.