The complexity of the list homomorphism problem for graphs

Autor: Egri, Laszlo, Krokhin, Andrei, Larose, Benoit, Tesson, Pascal
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