Node-and edge-deletion NP-complete problems

@article{Yannakakis1978NodeandEN,
  title={Node-and edge-deletion NP-complete problems},
  author={Mihalis Yannakakis},
  journal={Proceedings of the tenth annual ACM symposium on Theory of computing},
  year={1978}
}
  • M. Yannakakis
  • Published 1 May 1978
  • Mathematics, Computer Science
  • Proceedings of the tenth annual ACM symposium on Theory of computing
If &pgr; is a graph property, the general node(edge) deletion problem can be stated as follows: Find the minimum number of nodes(edges), whose deletion results in a subgraph satisfying property &pgr;. In this paper we show that if &pgr; belongs to a rather broad class of properties (the class of properties that are hereditary on induced subgraphs) then the node-deletion problem is NP-complete, and the same is true for several restrictions of it. For the same class of properties, requiring the… 

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