wiki_research

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commit 44ef4508b68a0b075fe6c47a6bd7766436947b4d
parent 603895d685b753c0d63066c90c01cdb28a7cb0c0
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Mon, 25 May 2026 13:57:58 +0200

commit with codex

Diffstat:
conjunctive_query | 2+-
density_function | 2+-
enumeration_cqs | 2++
enumeration_ucqs | 2++
erdos_distinct_distances_problem | 11+++++++++++
graph_family | 2++
hadwiger_conjecture | 9+++++++++
knowledge_compilation | 2++
knowledge_compilation_classes | 2+-
provenance_circuit | 4++++
query_compilation | 7+++++++
query_evaluation | 2+-
query_relevance | 7+++++++
sequence | 7++++++-
skolem_problem | 13+++++++++++++
15 files changed, 69 insertions(+), 5 deletions(-)

diff --git a/conjunctive_query b/conjunctive_query @@ -18,4 +18,4 @@ Up: [query_language] See also: [conjunction] -Aliases: CQ, CQs +Aliases: CQ, CQs, conjunctive queries diff --git a/density_function b/density_function @@ -16,6 +16,6 @@ computing its regime on [context_free_languages]: [gawrychowski2010finding] Up: [automata] -See also: [universality_automata], [sharp_automaton], [slice], [degree_of_ambiguity], [growth_rate_analysis] +See also: [universality_automata], [sharp_automaton], [slice], [degree_of_ambiguity], [growth_rate_analysis], [density] Aliases: density functions diff --git a/enumeration_cqs b/enumeration_cqs @@ -13,3 +13,5 @@ With [self_joins]: [enumeration_self_joins] Up: [enumeration_query_answers] for [conjunctive_query] See also: [direct_access] + +Aliases: CQ enumeration diff --git a/enumeration_ucqs b/enumeration_ucqs @@ -19,3 +19,5 @@ open question: [enumeration_ucqs_classifying] Up: [enumeration] for [union_of_conjunctive_query] See also: [enumeration_cqs] + +Aliases: UCQ enumeration diff --git a/erdos_distinct_distances_problem b/erdos_distinct_distances_problem @@ -0,0 +1,11 @@ +# Erdos distinct distances problem + +https://en.wikipedia.org/wiki/Erd%C5%91s_distinct_distances_problem + +A question about the minimal number of distinct edge distances can be achieved by a planar embedding of a graph (the maximal number is easy to achieve) + +Known to be Omega(n / log n) and O(n / sqrt(log n)) + +See also: [unit_distance_conjecture] + +Up: [extremal_combinatorics] diff --git a/graph_family b/graph_family @@ -45,6 +45,8 @@ A (generally [infinite]) set of [graphs] - [leaf_power] +- [unit_distance_graph] + May have the property of being [graph_class_hereditary] Up: [graph] diff --git a/hadwiger_conjecture b/hadwiger_conjecture @@ -0,0 +1,9 @@ +# Hadwiger conjecture + +https://en.wikipedia.org/wiki/Hadwiger_conjecture_(graph_theory) + +Asks whether every [graph] with [chromatic_number] k have a k-[clique] as a [graph_minor] + +Up: [graph_coloring] + +See also: [Hadwiger_nelson_problem] diff --git a/knowledge_compilation b/knowledge_compilation @@ -16,3 +16,5 @@ Classes of [circuits] for which some tasks are tractable Up: [theoretical_computer_science] Aliases: KC + +See also: [provenance_circuit] diff --git a/knowledge_compilation_classes b/knowledge_compilation_classes @@ -24,4 +24,4 @@ Up: [knowledge_compilation], [circuit], [Boolean_function_representation] See also: [circuit_classes], [circuit_condition] -Aliases: knowledge compilation circuit classes, knowledge compilation circuits +Aliases: knowledge compilation circuit classes, knowledge compilation circuits, knowledge compilation class diff --git a/provenance_circuit b/provenance_circuit @@ -4,6 +4,10 @@ Can use [circuit] for [provenance], e.g., - [datalog] provenance: [provenance_circuit_datalog] - [provenance_mso]: [monadic_second_order_logic] provenance [amarilli2015provenance] +- [provenance_fo] +- [provenance_cq] + - [provenance_ucq] +- [provenance_rpq] Up: [provenance], [circuit] diff --git a/query_compilation b/query_compilation @@ -0,0 +1,7 @@ +# Query compilation + +computing a representation from a [knowledge_compilation_class] on the [provenance] of a query + +see [provenance_circuit] + +Up: [knowledge_compilation] diff --git a/query_evaluation b/query_evaluation @@ -25,4 +25,4 @@ Up: [database_theory_problem] -See also: [query_language], [enumeration_query_answers], [homomorphism_problem] +See also: [query_language], [enumeration_query_answers], [homomorphism_problem], [provenance_circuit] diff --git a/query_relevance b/query_relevance @@ -0,0 +1,7 @@ +# Query relevance + +Given a [database] D, a [Boolean_query] Q, and a [fact] f of D, we say that f is *relevant* to Q on D if f belongs to a [minimal_match] of Q in D + +See [bienvenu2026how] + +Up: [provenance] diff --git a/sequence b/sequence @@ -4,12 +4,17 @@ - [Kleene_sequence] - [De_Bruijn_sequence] -- [arithmetic_progression] - [hailstone_sequence] - [Recamans_sequence] +- [linear_recurrence_sequence] + - [arithmetic_progression] ## Concepts - [subsequence] +## Open problems + +- [skolem_problem] + Up: [mathematics] diff --git a/skolem_problem b/skolem_problem @@ -0,0 +1,13 @@ +# Skolem problem + +https://en.wikipedia.org/wiki/Skolem_problem + +The [computational_problem] of [deciding] whether a [linear_recurrence_sequence] takes the value 0 + +[NP_hard], see [blondel2002deciding] + +Up: [sequence] + +See also: [skolem_mahler_lech_theorem] + +Aliases: Skolem's problem, Pisot problem, Pisot's problem