The complexity of the list homomorphism problem for graphs
Autor: | Egri, Laszlo, Krokhin, Andrei, Larose, Benoit, Tesson, Pascal |
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Rok vydání: | 2009 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: 12 pages, STACS 2010 |
Databáze: | arXiv |
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