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commit 303c3bc4165c40a7bbf5642b97b138db2895050f
parent ac1dfb3f7bdca4b54afd7abc48d7928bce5d80fe
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Tue, 27 May 2025 16:57:42 +0200

commit with codex

Diffstat:
deletion_breakable | 20--------------------
logical_separability | 2+-
2 files changed, 1 insertion(+), 21 deletions(-)

diff --git a/deletion_breakable b/deletion_breakable @@ -1,20 +0,0 @@ -# Deletion breakable - -Discussed in [maehlman2024monadically] and at [stacs_2024_szymon] - -A [graph_class] C is deletion breakable if for every radius r, there is a k and an unbounded function U satsifying the following: - -- for every [graph] G in the [graph_class], for every subset W of the vertices of G -- there are two subsets A and B of W that are "large", i.e., have size at least U(|W|) -- there is a subset of vertices S of size at most k (the [separator]) -- such that the [distance] from A to B is at least r in G when S is removed - -Special case: [infinity_deletion_breakable] - -Example: on [grid]: for every set W of vertices, there is an r-[independent_set] (you can take the empty set of vertices as a separator) - -A [graph_class] is deletion breakable iff it is [nowhere_dense] - -Next: notion of [flip], and [infinity_flip_breakable] - -Up: [stacs_2024_szymon] diff --git a/logical_separability b/logical_separability @@ -4,4 +4,4 @@ Up: [logic] -See also: [craig_interpolation] +See also: [craig_interpolation], [separability]