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commit a6a6b7833eb2d610aea47f88f72c9e2874eb4de2
parent 8940bc529c8d967e4eae579129ec43aa484399d0
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Fri,  4 Jul 2025 16:05:03 +0200

commit with codex

Diffstat:
3sat | 2++
automatic_relation | 2++
crpq | 2++
graph_colorability | 2++
homomorphism | 1+
homomorphism_problem | 8++++++++
query_evaluation | 2+-
regular_query | 2++
8 files changed, 20 insertions(+), 1 deletion(-)

diff --git a/3sat b/3sat @@ -9,3 +9,5 @@ It is [np_complete] Up: [sat_variants] See also: [2sat], [schaefers_dichotomy_theorem] + +Aliases: 3 SAT diff --git a/automatic_relation b/automatic_relation @@ -6,6 +6,8 @@ symbol, i.e., [automaton_synchronous] - Paper about this: [barcelo2023separating] - [automatic_relation_algebra] +Example: the [infinite_binary_tree] is an automatic relation + Special case: [recognizable_relations] Generalization: [deterministic_rational_relations], [rational_relations] diff --git a/crpq b/crpq @@ -9,6 +9,8 @@ - [C2RPQ] - [UCRPQ] - [conjunctive_context_free_path_query] +- [regular_query] + - [regular_query_with_memory] [Computational_problems]: - [CRPQ_containment] diff --git a/graph_colorability b/graph_colorability @@ -6,3 +6,5 @@ The [computational_problem] of, given a [graph] G and number k, deciding whether - [3_colorability] Up: [computational_problem], [graph_coloring] + +Aliases: k colorability diff --git a/homomorphism b/homomorphism @@ -4,6 +4,7 @@ - [homomorphism_equivalence] - [graph_homomorphism] - [homomorphism_count] +- [homomorphism_problem] Variants: [homomorphism_variants] diff --git a/homomorphism_problem b/homomorphism_problem @@ -0,0 +1,8 @@ +# Homomorphism problem + +The [decision_problem], given two [relational_structures] G and H, of deciding whether there is a [homomorphism] from G to H + +This is in [NP], and [NP_hard] even if H is a fixed graph +- e.g., can code [k_colorability] + +Up: [decision_problem], [homomorphism] diff --git a/query_evaluation b/query_evaluation @@ -21,4 +21,4 @@ Up: [database_theory_problem] -See also: [query_language], [enumeration_query_answers] +See also: [query_language], [enumeration_query_answers], [homomorphism_problem] diff --git a/regular_query b/regular_query @@ -12,3 +12,5 @@ Generalizations: Studied in [reutter2017regular] Up: [query_language] + +Aliases: regular queries