wiki_research

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commit 19e5671c3a592a9c07420bd1df4954a3125b106a
parent 400d079b4b646cdf81bd414f4c315a8402077c9d
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Sun, 14 Dec 2025 13:41:44 +0100

Merge remote-tracking branch 'origin/master'

Diffstat:
automaton_upwards_closed | 2+-
chordal | 2+-
degree | 3++-
dynamic_membership_push_pop | 3+++
foucaud2025polynomial | 7+++++++
graph_packing | 2+-
graph_regular | 4++--
incremental_maintenance_datalog | 3+++
induced_path | 9+++++++++
induced_subgraph | 2+-
obdd | 2++
path_cover | 11+++++++++++
path_partition | 9+++++++++
property_testing_csp | 5-----
subsequence_automaton | 4+++-
supersequence | 2+-
treelike_data | 2++
word | 2+-
18 files changed, 59 insertions(+), 15 deletions(-)

diff --git a/automaton_upwards_closed b/automaton_upwards_closed @@ -16,4 +16,4 @@ Up: [language_upwards_closed] Aliases: upwards closed automaton, Upwards closed automata, automaton subword closed, subword closed automaton, subword closed automata, supersequence closed automaton, supersequence closed automata, automata supersequence closed, automaton supersequence closed -See also: [downwards_closed_automaton] +See also: [downwards_closed_automaton], [automaton_subsequence_closed] diff --git a/chordal b/chordal @@ -7,7 +7,7 @@ An [undirected_graph] is *chordal* if every [cycle] of length at least 4 has a [ Equivalently, an [undirected_graph] is chordal iff it has a [perfect_elimination_ordering]: - can be found in [linear_time] with [lexicographic_breadth_first_search] -See also: [hypergraph_chordal], [proper_chordal_graph] +See also: [hypergraph_chordal], [proper_chordal_graph], [chordless_path], [chordless_cycle] Up: [graph] diff --git a/degree b/degree @@ -6,7 +6,8 @@ In [directed_graphs], we can distinguish the [indegree] and [outdegree], respect - [maximal_degree] - [average_degree] +- [bounded_degree_structures] Up: [graph_basic_notions] -See also: [bounded_degree_graphs] +See also: [bounded_degree_graphs], [k_regular_graph] diff --git a/dynamic_membership_push_pop b/dynamic_membership_push_pop @@ -1,5 +1,8 @@ # Dynamic membership push pop - for [regular_languages]: [guardian_algorithm] in [ganardi2022low] +- questions plus générales, genre avec [infix_testing] : + - présentation [tudastic] + - ce mail: <20200429101934.gu6xz5ok6dljjc3k@mu.a3nm.net> Up: [dynamic_membership_word], [push_pop] diff --git a/foucaud2025polynomial b/foucaud2025polynomial @@ -0,0 +1,7 @@ +# foucaud2025polynomial + +Studies [path_cover] and [path_partition] on [trees] and [bounded_treewidth_graphs]; for covering the [vertices] + +Also studies the variants requiring pairwise edge-disjointness (like [trails]) and the version with [induced_paths] + +Up: [academic_paper] on [path_cover] diff --git a/graph_packing b/graph_packing @@ -14,4 +14,4 @@ Can be with [induced_subgraphs] (a "strict factor") Up: [computational_problem] on [graph] -See also: [packing_problem], [graph_partition] +See also: [packing_problem], [graph_partition], [path_cover], [path_partition] diff --git a/graph_regular b/graph_regular @@ -1,4 +1,4 @@ -# Graph regular +# Regular graph A [graph] where all [vertices] have the same [degree] @@ -13,4 +13,4 @@ See also: [graph_matching_covered] Up: [graph] -Aliases: regular graph +Aliases: regular graph, k regular graph diff --git a/incremental_maintenance_datalog b/incremental_maintenance_datalog @@ -1,5 +1,8 @@ # Incremental maintenance datalog - [xu2023zodiacedge] +- [zhao2025flowlog] Up: [incremental_maintenance], [datalog] + +Aliases: datalog incremental diff --git a/induced_path b/induced_path @@ -0,0 +1,9 @@ +# Induced path + +An [path] as an [induced_subgraph] of another [graph] + +Up: [induced_subgraph], [path] + +Aliases: chordless path, path induced, paths induced, induced paths, chordless paths + +See also: [chordless_cycle] diff --git a/induced_subgraph b/induced_subgraph @@ -4,7 +4,7 @@ A [subgraph] of a [graph] defined by taking a [subset] U of [vertices] and takin - [induced_subgraph_isomorphism] -See also: [subgraph], [graph_minor], [induced_subhypergraph], [induced_cycle], [induced_subinstance] +See also: [subgraph], [graph_minor], [induced_subhypergraph], [induced_cycle], [induced_subinstance], [induced_path] Up: [graph] diff --git a/obdd b/obdd @@ -8,6 +8,8 @@ A [deterministic] [bdd] with a [variable_order] We can tractably take the [conjunction] and [disjunction] of two OBDDs where the [variable_order] is the same - [OBDD_conjunction] +Generalization: [CFLOBDDs] + Up: [bdd] See also: [fbdd] diff --git a/path_cover b/path_cover @@ -0,0 +1,11 @@ +# Path cover + +Given an [undirected_graph] G, compute a minimum-cardinality *path cover*, i.e., a set of paths covering the [vertices] of G (not necessarily pairwise disjoint) + +Studied in [foucaud2025polynomial] + +[NP_hard] because it generalizes the [Hamiltonian_path_problem] + +See also: [graph_packing], [path_partition] + +Up: [computational_problem] diff --git a/path_partition b/path_partition @@ -0,0 +1,9 @@ +# Path partition + +Given an [undirected_graph] G, compute a minimum-cardinality *path partition*, i.e., a set of pairwise disjoint paths covering the [vertices] of G + +Mentioned in [foucaud2025polynomial] + +[NP_hard] because it generalizes the [Hamiltonian_path_problem] + +See also: [path_cover], [graph_packing] diff --git a/property_testing_csp b/property_testing_csp @@ -1,5 +0,0 @@ -# Property testing CSP - -cf [fei2025unbounded] - -Up: [property_testing], [CSP] diff --git a/subsequence_automaton b/subsequence_automaton @@ -6,4 +6,6 @@ A *subsequence [automaton]* for a [word] w is an [automaton] A that accepts prec Up: [subsequence] -See also: [common_subsequence_automaton], [downwards_closure] +See also: [common_subsequence_automaton], [downwards_closure], [supersequence_automaton], [automaton_subsequence_closed] + +Aliases: automaton subsequence diff --git a/supersequence b/supersequence @@ -2,7 +2,7 @@ A [word] u is a *supersequence* of a [word] v if v is a [subsequence] of u -See also: [subsequence], [supersequence_closure], [automaton_supersequence_closed] +See also: [subsequence], [supersequence_closure], [automaton_supersequence_closed], [supersequence_automaton] Up: [formal_language_theory], [stringology] diff --git a/treelike_data b/treelike_data @@ -5,3 +5,5 @@ Data which is [treelike], i.e., of bounded [treewidth] On such data we can do [pqe_mso] Up: [data] of bounded [treewidth], [types_of_data] + +See also: [bounded_treewidth_graph] diff --git a/word b/word @@ -25,6 +25,6 @@ Special cases: Up: [formal_language_theory] -See also: [update_word], [sequence], [text_algorithms] +See also: [update_word], [sequence], [text_algorithms], [endmarker] Aliases: words, string, strings