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commit 06a682a00437558ae9e39e19cbf037d436c20b11
parent 8e881ad35026ec3d65daf150f247978aad0acb62
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Mon, 28 Sep 2026 16:01:56 +0200

commit with codex

Diffstat:
approximation_additive | 2++
approximation_multiplicative | 4+++-
homomorphism_closed | 4++--
hypertree_width_variants | 2++
infinite_ucq | 2+-
query | 1+
query_relevance | 4++++
treewidth_computation | 18++++++++++++++++++
union_of_conjunctive_queries_disequality | 2+-
9 files changed, 34 insertions(+), 5 deletions(-)

diff --git a/approximation_additive b/approximation_additive @@ -8,3 +8,5 @@ See also: [approximation_multiplicative] Up: [approximation] + +Aliases: Additive approximation diff --git a/approximation_multiplicative b/approximation_multiplicative @@ -1,4 +1,4 @@ -# Approximation multiplicative +# Multiplicative approximation Possible for [sharp_satisfiability] for [disjunctive_normal_form], and many other problems @@ -7,3 +7,5 @@ Another example is [arenas2021nfa] See also: [approximation_additive], [fpras] Up: [approximation] + +Aliases: Multiplicative approximation diff --git a/homomorphism_closed b/homomorphism_closed @@ -12,6 +12,6 @@ Special case: Up: [closure] under [homomorphism] -Aliases: closed under homomomorphism, homomorphism closed query, homomorphism closed queries, homomorphism-closed query, homomorphism-closed queries +Aliases: closed under homomomorphism, homomorphism closed query, homomorphism closed queries, homomorphism-closed query, homomorphism-closed queries, hom closed query, hom closed queries, hom-closed query, hom-closed queries -See also: [infinite_UCQ] +See also: [infinite_UCQ], [monotone_query] diff --git a/hypertree_width_variants b/hypertree_width_variants @@ -5,6 +5,8 @@ - makes [tree_decomposition_computation] easier - [query_decomposition] +all are within a factor 3 of each other, cf [adler2007hypertree] and [gottlob2007generalized] + Up: [width_measure] for [hypergraph] See also: [hyperpath_width] diff --git a/infinite_ucq b/infinite_ucq @@ -8,4 +8,4 @@ There are precisely the [homomorphism_closed] queries Up: [homomorphism_closed], [UCQ] -Aliases: infinite UCQs +Aliases: infinite UCQs, UCQinf diff --git a/query b/query @@ -11,6 +11,7 @@ - [query_match] - [minimal_match] - [connected_query] +- [monotone_query] ## Problems diff --git a/query_relevance b/query_relevance @@ -4,6 +4,10 @@ Given a [database] D, a [Boolean_query] Q, and a [fact] f of D, we say that f is See [bienvenu2026how] +For [CQs], relevance is [Sigma_P_2_complete] in [combined_complexity] + +For [acyclic_CQs], relevance is [NP_complete] in [combined_complexity] + Up: [provenance] Aliases: relevance diff --git a/treewidth_computation b/treewidth_computation @@ -0,0 +1,18 @@ +# Treewidth computation + +The [computational_problem] of computing the [treewidth] + +[flum2002query] +- it can be [FPT_linear] (exp in k) +- it can be in [XP], in n^{k+2} + +[Treewidth] is [NP_hard] to compute when k is given as input +- already on [cubic_graphs], cf [bodlaender2023treewidth] + +[Approximation]: see [treewidth_approximation] + +Open whether it is tractable to compute on [planar_graphs] + +Up: [treewidth], [computational_problem] + +See also: [tree_decomposition_computation], [hypertreewidth_computation], [generalized_hypetreewidth_computation] diff --git a/union_of_conjunctive_queries_disequality b/union_of_conjunctive_queries_disequality @@ -4,4 +4,4 @@ A [disjunction] of [CQs_with_disequalities] Up: [UCQ], [query_disequality] -Aliases: union of conjunctive query inequality, Union of conjunctive queries inequality, UCQ inequality, UCQ disequality, unions of conjunctive query disequality +Aliases: union of conjunctive query inequality, Union of conjunctive queries inequality, UCQ inequality, UCQ disequality, unions of conjunctive query disequality, UCQneq