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commit f79149402b0e15ec5b5debdd84246447289b18b8
parent 36727df3fee19c76fe111e9945d814d3dc951c0b
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Thu, 12 Feb 2026 17:09:44 +0100

commit with codex

Diffstat:
independent_set | 6+-----
independent_set_counting | 11+++++++++++
maximal_independent_set_counting | 3+++
3 files changed, 15 insertions(+), 5 deletions(-)

diff --git a/independent_set b/independent_set @@ -19,11 +19,7 @@ An *independent set* is a [subset] of [vertices] of an [undirected_graph] such t ## [counting] -- [sharp_bis] is the problem of counting independent sets on [graph_bipartite] - - it is open whether it admits an [fpras] -- [dyer1999counting]: on general graphs there is no [fpras], cf [sharp_is] - -By [duality], counting independent sets exactly is the same as counting [vertex_cover] exactly +[independent_set_counting] ## [linear_relaxation] diff --git a/independent_set_counting b/independent_set_counting @@ -0,0 +1,11 @@ +# Independent set counting + +- [sharp_bis] is the problem of counting independent sets on [bipartite_graphs] + - it is open whether it admits an [fpras] +- [dyer1999counting]: on general graphs there is no [fpras], cf [sharp_is] + +By [duality], counting independent sets exactly is the same as counting [vertex_cover] exactly + +Up: [counting_problem], [independent_set] + +See also: [maximal_independent_set_counting], [maximum_independent_set_counting] diff --git a/maximal_independent_set_counting b/maximal_independent_set_counting @@ -5,5 +5,8 @@ - mentioned in [livshits2021counting] - [sharpp_hard] even on [chordal_graphs]: - [okamoto2008counting] +- [approximate_counting]: cf [goldberg2016approximately] on [bipartite_graphs] Up: [counting_problem], [maximal_independent_set] + +See also: [maximum_independent_set_counting], [independent_set_counting]