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The complexity of the list homomorphism problem for graphs

Abstract : 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.
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Submitted on : Wednesday, February 10, 2010 - 10:15:49 AM
Last modification on : Monday, July 20, 2020 - 1:06:04 PM
Long-term archiving on: : Friday, June 18, 2010 - 7:50:40 PM


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  • HAL Id : inria-00455321, version 1



László Egri, Andrei Krokhin, Benoit Larose, Pascal Tesson. The complexity of the list homomorphism problem for graphs. 27th International Symposium on Theoretical Aspects of Computer Science - STACS 2010, Inria Nancy Grand Est & Loria, Mar 2010, Nancy, France. pp.335-346. ⟨inria-00455321⟩



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