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Journal of the ACM (JACM)
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Fixed-parameter tractability of graph modification problems for hereditary properties
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The Approximation of Maximum Subgraph Problems
ICALP '93 Proceedings of the 20th International Colloquium on Automata, Languages and Programming
WG '93 Proceedings of the 19th International Workshop on Graph-Theoretic Concepts in Computer Science
Edge-deletion and edge-contraction problems
STOC '82 Proceedings of the fourteenth annual ACM symposium on Theory of computing
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FOCS '96 Proceedings of the 37th Annual Symposium on Foundations of Computer Science
Algorithmic Graph Theory and Perfect Graphs (Annals of Discrete Mathematics, Vol 57)
Algorithmic Graph Theory and Perfect Graphs (Annals of Discrete Mathematics, Vol 57)
SFCS '94 Proceedings of the 35th Annual Symposium on Foundations of Computer Science
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In an edge modification problem one has to change the edge set of a given graph as little as possible so as to satisfy a certain property. We prove in this paper the NP-hardness of a variety of edge modification problems with respect to some well-studied classes of graphs. These include perfect, chordal, chain, comparability, split and asteroidal triple free. We show that some of these problems become polynomial when the input graph has bounded degree. We also give a general constant factor approximation algorithm for deletion and editing problems on bounded degree graphs with respect to properties that can be characterized by a finite set of forbidden induced subgraphs.