wiki_research

personal research wiki
git clone https://a3nm.net/git/wiki_research/
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commit 57aab99f0ba9ad5fd4b770e9777040084f2905fe
parent 8c5731e1a62cecadd941aa725372a7f1a808f936
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Mon, 27 Oct 2025 10:19:05 +0100

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

Diffstat:
computing | 2+-
geometry | 1+
gql | 1+
graph_family | 2++
leaf | 2+-
leaf_power | 12++++++++++++
unambiguous_sigma2 | 9+++++++++
up | 2++
8 files changed, 29 insertions(+), 2 deletions(-)

diff --git a/computing b/computing @@ -7,6 +7,6 @@ https://en.wikipedia.org/wiki/Unconventional_computing - [quantum_computing] - [dionaea_muscipula_computer] -See also: [computer], [computability] +See also: [computer], [computability], [computing_center] Up: [computer_science] diff --git a/geometry b/geometry @@ -4,6 +4,7 @@ - arrangements of spheres "kissing number" - [moving_sofa_problem] - [computational_geometry] +- [nopert] - [square] - [circle] diff --git a/gql b/gql @@ -2,5 +2,6 @@ - [francis2023researchers]: explanation GQL - [francis2023gpc] introduces [gpc] which is equivalent to GQL but easier to understand +- [figueira2025complexity] studies the [computational_complexity] of [query_evaluation] Up: [graph_query_languages_standards] diff --git a/graph_family b/graph_family @@ -40,6 +40,8 @@ A (generally [infinite]) set of [graphs] - [friendship_graph] - [berge_graph] +- [leaf_power] + May have the property of being [graph_class_hereditary] Up: [graph] diff --git a/leaf b/leaf @@ -4,6 +4,6 @@ Up: [tree] -See also: [internal_node] +See also: [internal_node], [leaf_power] Aliases: leaves diff --git a/leaf_power b/leaf_power @@ -0,0 +1,12 @@ +# Leaf power + +A [graph] where there exists a [tree] and threshold k such that the [edges] of the graph connect the [vertices] at [distance] at most k in the tree + +[Hamiltonian_path] on them is in [PTIME] for each fixed k but [NP_hard] in general +https://cstheory.stackexchange.com/questions/52305/complexity-of-finding-a-path-visiting-all-leaves-on-a-tree-while-respecting-a-di/52315 + +Variant: [pairwise_compatibility_graph], i.e., the distance is between two thresholds + +Recognizing these graphs is [NP_hard] [duprelatour2025recognizing] + +Up: [graph_family] diff --git a/unambiguous_sigma2 b/unambiguous_sigma2 @@ -0,0 +1,9 @@ +# Unambiguous sigma2 + +The [Sigma2] class with a unique choice of existential + +Studied in [gilboa2025complexity] + +See also: [up] + +Up: [sigma2] diff --git a/up b/up @@ -14,3 +14,5 @@ Generalizations: [Complement]: [coUP] Up: [nptime], [unambiguous_computation], [complexity_class] + +See also: [unambiguous_sigma2]