Applications: - degree-restricted cases and arborescences - bounded expansion classes? Ranking: - ranking of permutations on general sets, relationship with integer sorting - JN: 4.5.1: neslo by preci isolovat nejaky vlstnosti restriction matrices tak aby byl speedup? Staci napr predpokladat 4.5.2 (jako to postulovat) co je to vlastne za matice co splnuji 4.5.2 - JN: bounded-degree restriction graphs; would it imply general speedup? Typography: - formatting of multi-line \algin, \algout Diaz: > 2: simplify, remove proof sketches > 3.1.7, 3.1.10: skip proof > 3.5.1: does the first alg give any insight? > 5: mention graphs with moving vertices? Patrice: > Remark on 2.5.1: polynomial time could be replaced by sub-exponential time. > In 3.1.12 and 3.1.16, you should make explicit the dependence of the running time with respect, for instance, to the Hadwiger number of the graph or to the maximal density nabla(G) of a minor of the graph, as considering a minor closed class or another does not change the algorithm but only the bound on its running time.