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- W2015142920 abstract "Clique-width is a graph parameter that measures in a certain sense the complexity of a graph. Hard graph problems (e.g., problems expressible in monadic second-order logic with second-order quantification on vertex sets, which includes NP-hard problems such as 3-colorability) can be solved in polynomial time for graphs of bounded clique-width. We show that the clique-width of a given graph cannot be absolutely approximated in polynomial time unless $P = NP$. We also show that, given a graph G and an integer k, deciding whether the clique-width of G is at most k is NP-complete. This solves a problem that has been open since the introduction of clique-width in the early 1990s." @default.
- W2015142920 created "2016-06-24" @default.
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- W2015142920 date "2009-01-01" @default.
- W2015142920 modified "2023-10-03" @default.
- W2015142920 title "Clique-Width is NP-Complete" @default.
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- W2015142920 doi "https://doi.org/10.1137/070687256" @default.
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