Discussiones Mathematicae Graph Theory 17(2) (1997)
253-258
DOI: https://doi.org/10.7151/dmgt.1052
ON THE COMPUTATIONAL COMPLEXITY OF ( O, P)-PARTITION PROBLEMS
Jan Kratochvíl Department of Applied Mathematics |
Ingo Schiermeyer Lehrstuhl für Diskrete Mathematik, und Grundlagen
der Informatik |
Abstract
We prove that for any additive hereditary property P > O, it is NP-hard to decide if a given graph G allows a vertex partition V(G) = A∪B such that G[A] ∈ O (i.e., A is independent) and G[B] ∈ P.
Keywords: computational complexity, graph properties, partition problems.
1991 Mathematics Subject Classifications: 05C75, 68Q15, 68R10.
References
[1] | M.R. Garey and D.S. Johnson, Computers and Intractability, A Guide to the Theory of NP-Completeness, W.H. Freeman and Company, New York, 1979. |
[2] | P. Mihók, The Structure of Hereditary Properties of Graphs and Minimal Reducible Bounds, DIMATIA-DIMACS conference on Discrete Mathematics, Sti rín, 1997. |
[3] | P. Mihók, G. Semanišin, Additive hereditary properties are uniquely factorizable, Czecho-Slovak Conference on Combinatorics and Graph Theory, Chudenice, 1997. |
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