From 6d977f5e35a774430205da81f1849b01645b9996 Mon Sep 17 00:00:00 2001 From: didericis Date: Mon, 20 Apr 2026 16:32:27 -0400 Subject: [PATCH] chore: SAVEPOINT --- .gitmodules | 3 + README.md | 44 ++++- colored_pentagon_reduction/example.py | 93 +++++++++++ colored_pentagon_reduction/paper.aux | 8 + colored_pentagon_reduction/paper.fdb_latexmk | 55 +++++++ colored_pentagon_reduction/paper.fls | 160 +++++++++++++++++++ colored_pentagon_reduction/paper.log | 149 +++++++++++++++++ colored_pentagon_reduction/paper.pdf | Bin 0 -> 148889 bytes colored_pentagon_reduction/paper.synctex.gz | Bin 0 -> 9125 bytes colored_pentagon_reduction/paper.tex | 114 +++++++++++++ plantri | 1 + run.sh | 97 +++++++++-- 12 files changed, 707 insertions(+), 17 deletions(-) create mode 100644 colored_pentagon_reduction/example.py create mode 100644 colored_pentagon_reduction/paper.aux create mode 100644 colored_pentagon_reduction/paper.fdb_latexmk create mode 100644 colored_pentagon_reduction/paper.fls create mode 100644 colored_pentagon_reduction/paper.log create mode 100644 colored_pentagon_reduction/paper.pdf create mode 100644 colored_pentagon_reduction/paper.synctex.gz create mode 100644 colored_pentagon_reduction/paper.tex create mode 160000 plantri diff --git a/.gitmodules b/.gitmodules index 8fe2f4d..6c6fe77 100644 --- a/.gitmodules +++ b/.gitmodules @@ -1,3 +1,6 @@ [submodule "ams-latex-template"] path = ams-latex-template url = ssh://git@gitea.dideric.is/didericis/ams-latex-template.git +[submodule "plantri"] + path = plantri + url = https://github.com/mishun/plantri diff --git a/README.md b/README.md index 12d6581..5599fd7 100644 --- a/README.md +++ b/README.md @@ -26,23 +26,55 @@ This creates a new directory (name derived from the title) containing a `paper.t ## Setup -The Python library code in `lib/` requires SageMath. To set up the linting environment, run: +The Python library code in `lib/` requires SageMath. Run setup once per machine: ```sh -./run.sh setup +./run.sh setup [system_name] ``` -This creates a `.venv` using the SageMath Python interpreter and installs `pylint` into it. +- `sage_python_path` — path to the SageMath Python interpreter (e.g. `/opt/sage/local/bin/python3`) +- `sage_site_packages` — path to SageMath's site-packages directory +- `system_name` — optional label for this machine (defaults to `hostname -s`); used to store per-machine env files as `.env.` + +On subsequent runs the paths default to whatever was saved in `.env`, so `./run.sh setup` alone re-runs setup with the existing configuration. + +Setup also compiles the [plantri](https://github.com/mishun/plantri) submodule via `make`. + +## Running Sage + +To run a Sage script with `plantri` available on `PATH`: + +```sh +./run.sh sage [args...] +``` + +Or to open an interactive Sage session: + +```sh +./run.sh sage +``` ## Linting -To lint the `lib/` directory: - ```sh ./run.sh lint ``` -This runs `pyright` (via `npx`) and `pylint` using the SageMath Python interpreter. +Runs `pyright` and `pylint` on `lib/` using the SageMath Python interpreter. + +## Shell Completion + +To enable tab-completion for `run.sh` in zsh, add this to your `.zshrc`: + +```sh +eval "$(path/to/run.sh completion)" +``` + +Or source it once in the current shell session: + +```sh +eval "$(./run.sh completion)" +``` ## Building diff --git a/colored_pentagon_reduction/example.py b/colored_pentagon_reduction/example.py new file mode 100644 index 0000000..aad3b6f --- /dev/null +++ b/colored_pentagon_reduction/example.py @@ -0,0 +1,93 @@ +from sage.all import graphs, Graph +from collections import defaultdict +from pathlib import Path +import base64 + +DIR = Path(__file__).parent + +PALETTE = ['red', 'blue', 'green', 'yellow'] + +def plot_colored(g, coloring, title, filename): + g.is_planar(set_embedding=True, set_pos=True) + vertex_colors = defaultdict(list) + for v, c in coloring.items(): + vertex_colors[PALETTE[c]].append(v) + label = base64.urlsafe_b64encode(g.canonical_label().graph6_string().encode()).decode() + out_dir = DIR / "data" / label + out_dir.mkdir(exist_ok=True) + g.plot(vertex_colors=dict(vertex_colors), title=title).save(out_dir / filename) + +def pluck(G: Graph, coloring, v0, kind, step=1): + # Contract v1 and v2 into v0 to obtain the minor G'. + # merge_vertices([v0, v1, v2]) folds v1 and v2 into v0. + G_prime = G.copy() + G_prime.delete_vertex(v0) + coloring_prime = coloring.copy() + del coloring_prime[v0] + print(f"\nG' (after reduction): {G_prime.order()} vertices, {G_prime.size()} edges") + + # Plot before and after side by side. + plot_colored(G_prime, coloring_prime, f"G' (after pluck for v0={v0})", f"step_{step:04d}_({kind}).png") + return reduce(G_prime, coloring_prime, step+1) + +def squish(G: Graph, coloring, v0, kind, step=1): + # Among v0's neighbors, find two with the same color (v1 and v2). + neighbor_by_color = defaultdict(list) + for v in G.neighbors(v0): + neighbor_by_color[coloring[v]].append(v) + + v1, v2 = next( + (vs[0], vs[1]) for vs in neighbor_by_color.values() if len(vs) >= 2 + ) + print(f"Shared-color neighbors: v1 = {v1}, v2 = {v2} (color {coloring[v1]})") + + # Contract v1 and v2 into v0 to obtain the minor G'. + # merge_vertices([v0, v1, v2]) folds v1 and v2 into v0. + G_prime = G.copy() + G_prime.merge_vertices([v0, v1, v2]) + coloring_prime = {v: c for v, c in coloring.items() if v not in (v1, v2)} + coloring_prime[v0] = coloring[v1] + print(f"\nG' (after reduction): {G_prime.order()} vertices, {G_prime.size()} edges") + + # Plot before and after side by side. + plot_colored(G_prime, coloring_prime, f"G' (after squish for v0={v0}, v1={v1}, v2={v2})", f"step_{step:04d}_({kind}).png") + return reduce(G_prime, coloring_prime, step+1) + +def reduce(G, coloring, step=1): + # 2. Find a proper 4-coloring. + # G.coloring() returns a partition of vertices into color classes. + # By pigeonhole (5 neighbors, at most 3 available colors for each + # degree-5 vertex), the reduction step below always succeeds. + print(f"Coloring: {coloring}") + + degree_4_candidates = [] + degree_5_candidates = [] + + # Pick the first degree 5 vertex where the neighbors form a wheel + for v in G.vertices(): + if G.degree(v) == 3 and G.subgraph(G.neighbors(v)).is_cycle(): + return pluck(G, coloring, v, 'triangle', step) + elif G.degree(v) == 4 and G.subgraph(G.neighbors(v)).is_cycle(): + degree_4_candidates.append(v) + elif G.degree(v) == 5 and G.subgraph(G.neighbors(v)).is_cycle(): + degree_5_candidates.append(v) + + for v in degree_4_candidates: + return squish(G, coloring, v, 'square', step) + + for v in degree_5_candidates: + return squish(G, coloring, v, 'triangle', step) + + print("DONE") + return + +# 1. Generate a maximal planar graph (triangulation) on 14 vertices +# with minimum degree 5, via plantri. +G = next(graphs.planar_graphs(20, minimum_degree=5)) +print(f"G: {G.order()} vertices, {G.size()} edges") +print(f"Degree sequence: {sorted(G.degree_sequence(), reverse=True)}") +coloring_classes = G.coloring() +coloring = {v: i for i, cls in enumerate(coloring_classes) for v in cls} +plot_colored(G, coloring, "Start", f"step_{0:04d}.png") + +reduce(G, coloring) \ No newline at end of file diff --git a/colored_pentagon_reduction/paper.aux b/colored_pentagon_reduction/paper.aux new file mode 100644 index 0000000..274dd52 --- /dev/null +++ b/colored_pentagon_reduction/paper.aux @@ -0,0 +1,8 @@ +\relax +\newlabel{tocindent-1}{0pt} +\newlabel{tocindent0}{0pt} +\newlabel{tocindent1}{17.77782pt} +\newlabel{tocindent2}{0pt} +\newlabel{tocindent3}{0pt} +\@writefile{toc}{\contentsline {section}{\tocsection {}{1}{Definitions}}{1}{}\protected@file@percent } +\gdef \@abspage@last{1} diff --git 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z#&Y@Qm4Yvj^t`ogJNVwX0)f`$t?_X5X(5}1|{+uK49EN z%@JgMKjl7(`L;WcS~gN{;`+2N3$Sj8`ZEtoR|+`+23AwvfA|%Df3m#6eDS~f;;)~+ ze0_qEzPbMUf4sZ7_~rB0 jPfs_zvHO$p1@V{1*AE}QJbnG+=HmYVg~LT&2 + exit 1 + fi mkdir -p "$dest" cp "$SCRIPT_DIR/ams-latex-template/doc/amsart-template.tex" "$dest/paper.tex" sed -i '' "s|\\\\title{}|\\\\title{$raw}|" "$dest/paper.tex" @@ -23,20 +27,20 @@ init_paper() { } setup() { - local python_path="${1:?Usage: setup }" - local sage_site_packages="${2:?Usage: setup }" - local system_name="${3:?Usage: setup }" + local sage_python_path="${1:-${SAGE_PYTHON_PATH:?Usage: setup }}" + local sage_site_packages="${2:-${SAGE_SITE_PACKAGES:?Usage: setup }}" + local system_name="${3:-$(hostname -s)}" - printf 'SAGE_PYTHON_PATH=%s\nSAGE_SITE_PACKAGES=%s\n' "$python_path" "$sage_site_packages" \ - > "$SCRIPT_DIR/.env.$system_name" + printf 'SAGE_PYTHON_PATH=%s\nSAGE_SITE_PACKAGES=%s\n' "$sage_python_path" "$sage_site_packages" \ + >"$SCRIPT_DIR/.env.$system_name" ln -sf ".env.$system_name" "$SCRIPT_DIR/.env" source "$SCRIPT_DIR/.env" mkdir -p "$SCRIPT_DIR/.vscode" - "$python_path" - <subcmd' \ + '*: :->args' + + case $state in + subcmd) + local subcmds=( + 'init_paper:Initialize a new paper directory from the AMS template' + 'setup:Configure Python/Sage environment and install dependencies' + 'sage:Run sage with plantri available on PATH' + 'lint:Run pyright and pylint on lib/' + 'completion:Output shell completion code' + ) + _describe 'subcommand' subcmds + ;; + args) + case $words[2] in + init_paper) + _message 'paper title (spaces become underscores)' + ;; + setup) + case $((CURRENT - 2)) in + 1) _files ;; + 2) _files -/ ;; + 3) _message 'system name (e.g. macbook, workstation)' ;; + esac + ;; + sage) + _files + ;; + completion) + _values 'shell' 'zsh' + ;; + esac + ;; + esac +} + +compdef _run_sh run.sh +EOF + ;; + *) + echo "Unsupported shell: $shell. Supported: zsh" >&2 + exit 1 + ;; + esac +} + case "${1:-}" in init_paper) shift @@ -71,11 +138,19 @@ setup) shift setup "$@" ;; +sage) + shift + run_sage "$@" + ;; lint) lint ;; +completion) + shift + completion "$@" + ;; *) - echo "Usage: $0 {init_paper|setup|lint} [args]" >&2 + echo "Usage: $0 {init_paper|setup|sage|lint|completion} [args]" >&2 exit 1 ;; esac