wiki_research

personal research wiki
git clone https://a3nm.net/git/wiki_research/
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commit 207e37ace8fb86e7b60e292c25e20ab9057e6d02
parent 6f52d2facb37d584602e3f6bb87abc37c0f16fb0
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Thu,  3 Sep 2026 12:07:37 +0200

Merge remote-tracking branch 'origin/master'

Diffstat:
claw | 9+++++++++
claw_free_graph | 11+++++++++++
crpq | 1+
database_repairs | 2+-
ecrpq | 11+++++++++++
graph_family | 2++
line_graph | 2+-
obdd | 2+-
repair_notions | 10+++++-----
triangle_free_graph | 4+++-
10 files changed, 45 insertions(+), 9 deletions(-)

diff --git a/claw b/claw @@ -0,0 +1,9 @@ +# Claw + +A [star] with 3 branches + +Up: [star] + +Aliases: claws + +See also: [claw_free_graph] diff --git a/claw_free_graph b/claw_free_graph @@ -0,0 +1,11 @@ +# Claw free graph + +https://en.wikipedia.org/wiki/Claw-free_graph + +A [graph] that does not contain a [claw] as an [induced_subgraph] + +Up: [graph_family] + +Aliases: claw free, clawfree, clawfree graph, clawfree graphs, claw free graphs + +See also: [triangle_free_graph] diff --git a/crpq b/crpq @@ -12,6 +12,7 @@ - [conjunctive_context_free_path_query] - [regular_query] - [regular_query_with_memory] +- [ECRPQ] [Computational_problems]: - [CRPQ_containment] diff --git a/database_repairs b/database_repairs @@ -11,6 +11,6 @@ A modification of a [database] to obtain a [database] which satisfies some [inte Up: [database_theory] -See also: [language_repair], [graph_modification], [query_repairs], [data_cleaning] +See also: [language_repair], [graph_modification], [query_repairs], [data_cleaning], [database_minimal_repairs] Aliases: database repair, data repair, data repairs diff --git a/ecrpq b/ecrpq @@ -0,0 +1,11 @@ +# ECRPQ + +Extended [CRPQ], defined in [barcelo2012expressive] + +Supports length contraints on paths + +Also discussed in [freydenberger2013expressiveness] and in [figueira2022when] + +Up: [crpq] + +Aliases: Extended CRPQ, Extended CRPQs diff --git a/graph_family b/graph_family @@ -49,6 +49,8 @@ A (generally [infinite]) set of [graphs] - [graph_word_representable] +- [claw_free_graph] + May have the property of being [graph_class_hereditary] Up: [graph] diff --git a/line_graph b/line_graph @@ -4,7 +4,7 @@ https://en.wikipedia.org/wiki/Line_graph The *line graph* of an [undirected_graph] G = (V, E) is the [graph] G' where the [vertices] of G' are E and where there is an edge in G' connecting two edges of E if they share a vertex in G -They can be recognized in [linear_time] +Such graphs can be recognized in [linear_time]. They are always [claw_free] - For [hamiltonian_cycles], cf [edge_hamiltonian_cycle] - For [hamiltonian_paths], cf [edge_hamiltonian_path] diff --git a/obdd b/obdd @@ -15,6 +15,6 @@ Notion: [bdd_width] Up: [bdd] -See also: [fbdd] +See also: [fbdd], [linear_vtree] Aliases: OBDDs diff --git a/repair_notions b/repair_notions @@ -1,10 +1,10 @@ # Repair notions -- [subset_repair] -- [optimal_subset_repair], a [subset_repair] that [optimizes] a cost -- can also do [insertions] of [tuples] in some cases -- [minimal_repairs] -- [cell_repairs] +- [database_minimal_repairs] + - [subset_repair] + - [optimal_subset_repair], a [subset_repair] that [optimizes] a cost + - can also do [insertions] of [tuples] in some cases + - [cell_repairs] Up: [database_repairs] diff --git a/triangle_free_graph b/triangle_free_graph @@ -4,8 +4,10 @@ They are known to have unbounded [chromatic_number] [Mantel's_theorem] gives bounds on their size -[computational_problem] of recognizing them: see [triangle_detection] +For the [computational_problem] of recognizing them: see [triangle_detection] Up: [triangle], [graph], [graph_h_free] Aliases: triangle-free graph, triangle free graph, triangle-free graphs, triangle free graphs + +See also: [claw_free_graph]