On the Complexity of Cover-Incomparability Graphs of Posets |
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| Authors: | Jana Maxová Pavla Pavlíková Daniel Turzík |
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| Institution: | (1) Department of Mathematics, Institute of Chemical Technology, Prague, Technická 5, 166 28 Praha 6, Czech Republic;(2) Institute for Theoretical Computer Science (ITI), Charles University, Malostranské nám. 25, 118 00 Praha 1, Czech Republic |
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| Abstract: | In this paper we show that the recognition problem for C-I graphs of posets is NP-complete. On the other hand, we prove that
induced subgraphs of C-I graphs are exactly complements of comparability graphs, and hence the recognition problem for induced
subgraphs of C-I graphs of posets is polynomial. |
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| Keywords: | Poset Graph Transitive orientation NP-complete |
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