wiki_research

personal research wiki
git clone https://a3nm.net/git/wiki_research/
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commit c72ecccaac43da03d47aa1fa7df62c62e53ee711
parent 7f88bb78cbca59a7fdcc5dcd070744bf9b18675b
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Tue, 14 Jan 2025 15:04:36 +0100

commit with codex

Diffstat:
connectivity | 3+++
cycle | 5+++++
strongly_connected | 1+
strongly_connected_graph | 7+++++++
universal_word | 2++
5 files changed, 18 insertions(+), 0 deletions(-)

diff --git a/connectivity b/connectivity @@ -9,6 +9,9 @@ Problem of knowing how many edges/vertices you must remove from a [graph] in ord - [dynamic_connectivity] +- [strongly_connected_graph] +- [weakly_connected_graph] + See also: [mengers_theorem], [minimum_cut], [connected_graph] Up: [graph] diff --git a/cycle b/cycle @@ -15,6 +15,11 @@ Variants: - [cycle_induced] +Special cases: + +- [hamiltonian_cycle] +- [eulerian_cycle] + Up: [graph_basic_notions] Aliases: cycles diff --git a/strongly_connected b/strongly_connected @@ -2,6 +2,7 @@ - [strongly_connected_graph] - [strongly_connected_language] +- [strongly_connected_component] Up: [mathematics] diff --git a/strongly_connected_graph b/strongly_connected_graph @@ -0,0 +1,7 @@ +# Strongly connected graph + +s + +A [directed_graph] having one [strongly_connected_component] + +Up: [strongly_connected] diff --git a/universal_word b/universal_word @@ -3,6 +3,8 @@ [chen2017universal] [word] containing all words of length n exactly once as contiguous [subword] +- always exists for any alphabet and length +- cf [chung1992universal] See also: [superpermutation], [random_universal_word], [de_bruijn_sequence], [universal_tree]