wiki_research

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commit b2ff30ab2a62525e7771946f33d3496fe111bfc0
parent 016cde6b1bdb4fe382bd21c2a49e93b0d094c540
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Wed,  5 Mar 2025 15:35:00 +0100

commit with codex

Diffstat:
approximation_class | 8++++----
maximum_linear_arrangement | 7+++++++
minimization | 4++++
minimum | 2+-
minimum_linear_arrangement | 11+++++++++++
submodular_maximization | 4++--
6 files changed, 29 insertions(+), 7 deletions(-)

diff --git a/approximation_class b/approximation_class @@ -1,10 +1,10 @@ # Approximation classes -- FPRAS [fpras]: for all epsilon you have an [algorithm_randomized] running in polynomial time in 1/e and in the input, with a probability delta of failure +- [FPRAS]: for all epsilon you have an [algorithm_randomized] running in polynomial time in 1/e and in the input, with a probability delta of failure - variant QPRAS [qpras] with "quasi-polynomial time" [quasipolynomial] -- PRAS [pras]: same but not polynomial in 1/e -- without R, a deterministic algorithm (PRAS vs PTAS [ptas], FPRAS vs FPTAS [fptas]) -- APX [apx]: there is an approximation algorithm for a certain fixed epsilon +- [PRAS]: same but not polynomial in 1/e +- without R, a deterministic algorithm (PRAS vs [PTAS], FPRAS vs [FPTAS]) +- [APX]: there is an [approximation_algorithm] for a certain fixed epsilon Up: [complexity_class] of [approximation] diff --git a/maximum_linear_arrangement b/maximum_linear_arrangement @@ -0,0 +1,7 @@ +# Maximum linear arrangement + +cf [alemanypuig2024maximum] + +See also: [minimum_linear_arrangement] + +Up: [computational_problem] on [graph] diff --git a/minimization b/minimization @@ -5,3 +5,7 @@ - [automaton_minimal] Up: [theoretical_computer_science] + +Aliases: minimized + +See also: [minimum], [maximization] diff --git a/minimum b/minimum @@ -7,6 +7,6 @@ The smallest element of an [order] Up: [mathematics_basic_concepts] -See also: [maximum] +See also: [maximum], [minimization] Aliases: min diff --git a/minimum_linear_arrangement b/minimum_linear_arrangement @@ -0,0 +1,11 @@ +# Minimum linear arrangement + +Given a [graph], find a [permutation] of the [vertices] such that the [sum] across [edges] of the difference between the permutation image of the two endpoint [vertices] is [minimized] + +The problem is [NP_complete] + +cf [bienkowski2024improved] + +Up: [computational_problem] on [graph] + +See also: [graph_layout], [maximum_linear_arrangement] diff --git a/submodular_maximization b/submodular_maximization @@ -1,8 +1,8 @@ # Submodular maximization -[np_hard] +An [NP_hard] [computational_problem] -[buchbinder2024deterministic] +cf [buchbinder2024deterministic] Up: [submodular_optimization], [maximization]