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commit 8034d49ca7eb1ba8d42b5950aa541d9e74ceb74e
parent fdc683fba66fd7376d08fadbb310d72d6fdbd4f2
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Sat, 11 Oct 2025 20:44:49 +0200

commit with codex

Diffstat:
complement_class | 9+++++++++
complementation | 3++-
conp | 6+++++-
isometric_subgraph | 7+++++++
k_ambiguous_automaton | 2++
probabilistic_automata_bounded_ambiguity | 5+++++
shortest_path | 27+++++++++++++++++++++++++++
shortest_path_algorithm | 8--------
subgraph | 2+-
unambiguous_computation | 9+++++++++
up | 4+++-
11 files changed, 70 insertions(+), 12 deletions(-)

diff --git a/complement_class b/complement_class @@ -0,0 +1,9 @@ +# Complement class + +In [computational_complexity], the [complement_class] of a [complexity_class] of [decision_problems] C is the [complexity_class] of those [decision_problems] that are the [complements] of the [decision_problems] of C + +It is *not* the [complement] of C + +For instance, [coNP] is the complement class of [NP] + +Up: [complementation] diff --git a/complementation b/complementation @@ -3,7 +3,8 @@ - [ddnnf_complementation] - [graph_complementation] - [language_complementation] +- [complement_class] Up: [logic], [boolean_operator] -Aliases: complement +Aliases: complement, complements diff --git a/conp b/conp @@ -1,8 +1,12 @@ -# Conp +# CoNP [Decision_problems] whose [complementation] is in [nptime] +It is the [complement_class] of [NP] + - [conp_hard] - [conp_complete] See also: [nptime], [np_cap_conp] + +Aliases: co NP diff --git a/isometric_subgraph b/isometric_subgraph @@ -0,0 +1,7 @@ +# Isometric subgraph + +Mentioned in [baste2025polynomial] + +A [subgraph] H of a graph G is *isometric* if every [shortest_path] in H is also a [shortest_path] in G + +Up: [subgraph] diff --git a/k_ambiguous_automaton b/k_ambiguous_automaton @@ -3,3 +3,5 @@ - [word_automaton_k_unambiguous] Up: [k_unambiguous] + +Aliases: bounded ambiguity automaton, bounded ambiguity automata diff --git a/probabilistic_automata_bounded_ambiguity b/probabilistic_automata_bounded_ambiguity @@ -0,0 +1,5 @@ +# Probabilistic automata bounded ambiguity + +see [fijalkow2022probabilistic] + +Up: [probabilistic_automata], [bounded_ambiguity_automata] diff --git a/shortest_path b/shortest_path @@ -0,0 +1,27 @@ +# Shortest path + +A [path] in a [graph] whose [path_length] (or [path_weight]) is [minimal] + +Weights: +- [graph_unweighted] +- [graph_weighted] + +Types: +- [single_source_shortest_path] +- [all_pairs_shortest_path] + +Related: +- [shortest_path_practice] + +Variants: +- [shortest_path_almost] + +[shortest_path_algorithm] + +[shortest_path_enumeration] + +Up: [graph_problem] + +See also: [minmax_path], [reachability], [transitive_closure] + +Aliases: shortest paths diff --git a/shortest_path_algorithm b/shortest_path_algorithm @@ -1,8 +0,0 @@ -# Shortest path algorithm - -For [all_pairs_shortest_path]: -- [Floyd_Warshall_algorithm] - -For [single_source_shortest_path]: [single_source_shortest_path_algorithm] - -Up: [shortest_path] diff --git a/subgraph b/subgraph @@ -6,4 +6,4 @@ Up: [graph] Aliases: subgraphs -See also: [subinstance], [subdatabase], [induced_subgraph] +See also: [subinstance], [subdatabase], [induced_subgraph], [isometric_subgraph] diff --git a/unambiguous_computation b/unambiguous_computation @@ -0,0 +1,9 @@ +# Unambiguous computation + +[Course_notes]: [vijaykumar2016unambiguous] + +- [UP] +- also analogues for [space_complexity] +- also analogues for [NL] + +Up: [unambiguity], [computational_complexity] diff --git a/up b/up @@ -11,4 +11,6 @@ Generalizations: - [FewP] - [US] -Up: [nptime], [unambiguity], [complexity_class] +[Complement]: [coUP] + +Up: [nptime], [unambiguous_computation], [complexity_class]