wiki_research

personal research wiki
git clone https://a3nm.net/git/wiki_research/
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commit ea22af887fb004d8325be11810aad6e125f38ec5
parent eb8967737074f80d77d02d0e42006c49df84048d
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Wed, 20 Aug 2025 12:04:14 +0200

Merge branch 'master' of a3nm.net:git/wiki_research

Diffstat:
regular_path_query | 2++
rpq_counting_answers | 2+-
rpq_semantics | 10++++++++++
rpq_simple_paths | 13+++++++++++++
simple_path_rpq_problem | 2+-
trail | 2++
6 files changed, 29 insertions(+), 2 deletions(-)

diff --git a/regular_path_query b/regular_path_query @@ -2,6 +2,8 @@ [query] on [graph_database] defined by [regular_expression] +[RPQ_semantics] + ## Extensions - [2rpq] diff --git a/rpq_counting_answers b/rpq_counting_answers @@ -5,4 +5,4 @@ Up: [counting_query_answers], [RPQ] -See also: [rpq_query_evaluation] +See also: [rpq_query_evaluation], [RPQ_counting_paths] diff --git a/rpq_semantics b/rpq_semantics @@ -0,0 +1,10 @@ +# RPQ semantics + +The semantics of [RPQs] can be: + +- [simple_paths]: [RPQ_simple_paths] +- [trails]: [regular_trail_query] +- [walks] (can have unbounded length) +- [shortest_paths] + +Up: [regular_path_query] diff --git a/rpq_simple_paths b/rpq_simple_paths @@ -0,0 +1,13 @@ +# RPQ simple paths + +[RPQs] evaluated in [simple_paths] semantics; common in [RPQ_practice], but can cause intractability + +For instance: +- [bagan2020trichotomy] +- [simple_path_trichotomy] +- [simple_path_rpq_enumeration] +- [rpq_counting_simple_paths] + +Up: [rpq_semantics], [RPQ], [simple_paths] + +Aliases: RPQ simple path diff --git a/simple_path_rpq_problem b/simple_path_rpq_problem @@ -1,6 +1,6 @@ # Simple path rpq problem -Decide if there is a [simple_path] satisfing a [RPQ] from a vertex s to a vertex t in a [graph] +Decide if there is an [RPQ_simple_path] match from a vertex s to a vertex t in a [graph] Topic of the [simple_path_trichotomy] diff --git a/trail b/trail @@ -5,3 +5,5 @@ A [walk] where [vertices] can repeat, but not [edges] Up: [path] See also: [walk], [simple_path] + +Aliases: trails