Computer Science – Computational Complexity
Scientific paper
2009-12-18
Computer Science
Computational Complexity
12 pages, STACS 2010
Scientific paper
We completely classify the computational complexity of the list H-colouring problem for graphs (with possible loops) in combinatorial and algebraic terms: for every graph H the problem is either NP-complete, NL-complete, L-complete or is first-order definable; descriptive complexity equivalents are given as well via Datalog and its fragments. Our algebraic characterisations match important conjectures in the study of constraint satisfaction problems.
Egri Laszlo
Krokhin Andrei
Larose Benoit
Tesson Pascal
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