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- W1587161734 abstract "We study the following question: Given are two $k$-colorings $alpha$ and $beta$ of a graph $G$ on $n$ vertices, and integer $ell$. The question is whether $alpha$ can be modified into $beta$, by recoloring vertices one at a time, while maintaining a $k$-coloring throughout, and using at most $ell$ such recoloring steps. This problem is weakly PSPACE-hard for every constant $kge 4$. We show that it is also strongly NP-hard for every constant $kge 4$. On the positive side, we give an $O(f(k,ell) n^{O(1)})$ algorithm for the problem, for some computable function $f$. Hence the problem is fixed-parameter tractable when parameterized by $k+ell$. Finally, we show that the problem is W[1]-hard (but in XP) when parameterized only by $ell$." @default.
- W1587161734 created "2016-06-24" @default.
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- W1587161734 date "2014-04-01" @default.
- W1587161734 modified "2023-09-27" @default.
- W1587161734 title "The Complexity of Bounded Length Graph Recoloring." @default.
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