From 19f7f4f9aafc277093724ff9213c7ee8bb4399dd Mon Sep 17 00:00:00 2001 From: Joshua Potter Date: Mon, 19 Aug 2024 07:45:06 -0600 Subject: [PATCH] More path/walk/trail notes. --- .../plugins/obsidian-to-anki-plugin/data.json | 7 ++-- notes/_journal/2024-08-19.md | 9 +++++ notes/_journal/{ => 2024-08}/2024-08-17.md | 0 notes/_journal/{ => 2024-08}/2024-08-18.md | 0 notes/set/graphs.md | 36 ++++++++++++++++++ .../set/images/cyclic-undirected-labelled.png | Bin 0 -> 14423 bytes 6 files changed, 49 insertions(+), 3 deletions(-) create mode 100644 notes/_journal/2024-08-19.md rename notes/_journal/{ => 2024-08}/2024-08-17.md (100%) rename notes/_journal/{ => 2024-08}/2024-08-18.md (100%) create mode 100644 notes/set/images/cyclic-undirected-labelled.png diff --git a/notes/.obsidian/plugins/obsidian-to-anki-plugin/data.json b/notes/.obsidian/plugins/obsidian-to-anki-plugin/data.json index c4bcdb6..b3af73e 100644 --- a/notes/.obsidian/plugins/obsidian-to-anki-plugin/data.json +++ b/notes/.obsidian/plugins/obsidian-to-anki-plugin/data.json @@ -186,7 +186,8 @@ "graph-isomorphic.png", "graph-induced-subgraph.png", "graph-subgraph.png", - "graph-non-subgraph.png" + "graph-non-subgraph.png", + "cyclic-undirected-labelled.png" ], "File Hashes": { "algorithms/index.md": "3ac071354e55242919cc574eb43de6f8", @@ -367,7 +368,7 @@ "_journal/2024-03/2024-03-17.md": "23f9672f5c93a6de52099b1b86834e8b", "set/directed-graph.md": "b4b8ad1be634a0a808af125fe8577a53", "set/index.md": "c103501e345a1b8201a26f2e83ed8379", - "set/graphs.md": "ce7030d3bae17b56319e8b5526a63c95", + "set/graphs.md": "6f08a3e8e4896b0325aef6c452bfbb56", "_journal/2024-03-19.md": "a0807691819725bf44c0262405e97cbb", "_journal/2024-03/2024-03-18.md": "63c3c843fc6cfc2cd289ac8b7b108391", "awk/variables.md": "e40a20545358228319f789243d8b9f77", @@ -739,7 +740,7 @@ "_journal/2024-08-17.md": "b06a551560c377f61a1b39286cd43cee", "_journal/2024-08/2024-08-16.md": "096d9147a9e3e7a947558f8dec763a2c", "set/order.md": "373f4336d4845a3c2188d2215ac5fbc4", - "_journal/2024-08-18.md": "240ce6377b91d977f4fedc30724891f6", + "_journal/2024-08-18.md": "6f8aec69e00401b611db2a377a3aace5", "ontology/philosophy/properties.md": "41b32249d3e4c23d73ddb3a417d65a4c" }, "fields_dict": { diff --git a/notes/_journal/2024-08-19.md b/notes/_journal/2024-08-19.md new file mode 100644 index 0000000..b06102d --- /dev/null +++ b/notes/_journal/2024-08-19.md @@ -0,0 +1,9 @@ +--- +title: "2024-08-19" +--- + +- [ ] Anki Flashcards +- [x] KoL +- [ ] OGS +- [ ] Sheet Music (10 min.) +- [ ] Korean (Read 1 Story) \ No newline at end of file diff --git a/notes/_journal/2024-08-17.md b/notes/_journal/2024-08/2024-08-17.md similarity index 100% rename from notes/_journal/2024-08-17.md rename to notes/_journal/2024-08/2024-08-17.md diff --git a/notes/_journal/2024-08-18.md b/notes/_journal/2024-08/2024-08-18.md similarity index 100% rename from notes/_journal/2024-08-18.md rename to notes/_journal/2024-08/2024-08-18.md diff --git a/notes/set/graphs.md b/notes/set/graphs.md index 2b2f823..3410ba4 100644 --- a/notes/set/graphs.md +++ b/notes/set/graphs.md @@ -1201,6 +1201,42 @@ Reference: Thomas H. Cormen et al., Introduction to Algorithms, Fourth edition ( END%% +%%ANKI +Basic +With maximum specificity, is $\langle B, D, E, J, K, B, A \rangle$ a path, trail, or walk? +![[cyclic-undirected-labelled.png]] +Back: A trail. +Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf). + +END%% + +%%ANKI +Basic +With maximum specificity, is $\langle B, D, E, J, K, B \rangle$ a path, trail, or walk? +![[cyclic-undirected-labelled.png]] +Back: A path. +Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf). + +END%% + +%%ANKI +Basic +With maximum specificity, is $\langle B, D, B, K, L \rangle$ a path, trail, or walk? +![[cyclic-undirected-labelled.png]] +Back: A walk. +Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf). + +END%% + +%%ANKI +Basic +With maximum specificity, is $\langle A, B, D \rangle$ a path, trail, or walk? +![[cyclic-undirected-labelled.png]] +Back: A path. +Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf). + +END%% + ## Isomorphisms An **isomorphism** between two graphs $G_1$ and $G_2$ is a bijection $f \colon V_1 \rightarrow V_2$ between the vertices of the graphs such that $(a, b)$ is an edge in $G_1$ if and only if $(f(a), f(b))$ is an edge in $G_2$. 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