From c0e71e2d257037bc9d20b6b3c86abda15c21d392 Mon Sep 17 00:00:00 2001 From: didericis Date: Mon, 25 May 2026 14:32:12 -0400 Subject: [PATCH] coloring_nested_tire_graphs: actually apply the title + tire definition edits MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The previous rename commit (6ca0c6d) staged the unmodified paper.tex content because `git mv` + `git add` picked up the on-disk file as it was at HEAD, not the unstaged working-tree edits. This commit applies what 6ca0c6d's message claimed: - Title: "Nested Level Duals" → "Coloring Nested Tire Graphs" - Adds Definition 1.5 (Tire graph) formalising (C_out, O, E_ann) with the annular-triangulation condition, plus a Remark on vertex/edge/ face counts. - Removes the 2026-05-22 "shelved" note. Co-Authored-By: Claude Opus 4.7 --- papers/coloring_nested_tire_graphs/paper.aux | 7 +-- .../paper.fdb_latexmk | 6 +-- papers/coloring_nested_tire_graphs/paper.log | 46 +++++++++--------- papers/coloring_nested_tire_graphs/paper.pdf | Bin 331553 -> 342003 bytes papers/coloring_nested_tire_graphs/paper.tex | 43 ++++++++++++++-- 5 files changed, 68 insertions(+), 34 deletions(-) diff --git a/papers/coloring_nested_tire_graphs/paper.aux b/papers/coloring_nested_tire_graphs/paper.aux index 9d8e8b2..450c2a8 100644 --- a/papers/coloring_nested_tire_graphs/paper.aux +++ b/papers/coloring_nested_tire_graphs/paper.aux @@ -1,11 +1,12 @@ \relax +\@writefile{toc}{\contentsline {section}{\tocsection {}{1}{Introduction}}{1}{}\protected@file@percent } +\newlabel{def:dual-depth}{{1.4}{1}} \newlabel{tocindent-1}{0pt} \newlabel{tocindent0}{0pt} \newlabel{tocindent1}{17.77782pt} \newlabel{tocindent2}{0pt} \newlabel{tocindent3}{0pt} -\@writefile{toc}{\contentsline {section}{\tocsection {}{1}{Introduction}}{1}{}\protected@file@percent } -\newlabel{def:dual-depth}{{1.4}{1}} \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Dual depth in a stacked-ring triangulation $G$ with level source $S = \{0\}$. Each $G$ vertex is labelled by its level $\ell $. Each bounded face carries a dual vertex (square, joined by dashed dual edges) coloured by its dual depth $\delta (d_f) = \qopname \relax m{min}_{v \in V(f)} \ell (v)$: the central fan has depth $0$, the inner annulus depth $1$, and the outer annulus depth $2$. The outer face (the level-$3$ triangle) is excluded from the inner dual and carries no dual vertex.}}{2}{}\protected@file@percent } \newlabel{fig:dual-depth}{{1}{2}} -\gdef \@abspage@last{2} +\newlabel{def:tire-graph}{{1.5}{2}} +\gdef \@abspage@last{3} diff --git a/papers/coloring_nested_tire_graphs/paper.fdb_latexmk b/papers/coloring_nested_tire_graphs/paper.fdb_latexmk index 2508ddb..004a41f 100644 --- a/papers/coloring_nested_tire_graphs/paper.fdb_latexmk +++ b/papers/coloring_nested_tire_graphs/paper.fdb_latexmk @@ -1,5 +1,5 @@ # Fdb version 3 -["pdflatex"] 1779482777 "paper.tex" "paper.pdf" "paper" 1779482778 +["pdflatex"] 1779733650 "paper.tex" "paper.pdf" "paper" 1779733650 "/usr/local/texlive/2022/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 "" "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm" 1246382020 1004 54797486969f23fa377b128694d548df "" "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex8.tfm" 1246382020 988 bdf658c3bfc2d96d3c8b02cfc1c94c20 "" @@ -56,8 +56,8 @@ "/usr/local/texlive/2022/texmf-var/web2c/pdftex/pdflatex.fmt" 1665017617 2826443 7e98410c533054b636c6470db83a27bc "" "/usr/local/texlive/2022/texmf.cnf" 1647878952 577 209b46be99c9075fd74d4c0369380e8c "" "fig_dual_depth.png" 1779482522 255786 cb48aab5aa40fc161d13a75df0544511 "" - "paper.aux" 1779482778 941 aea7c9fac695aa780643110af03da54c "pdflatex" - "paper.tex" 1779482773 4064 135510a3466a93155ee81a8d88e3ce4c "" + "paper.aux" 1779733650 977 9ae602f68da02f011f6275321bae63a1 "pdflatex" + "paper.tex" 1779733644 5855 ae8bddac7e77a789fdbf38b2af99908f "" (generated) "paper.aux" "paper.log" diff --git a/papers/coloring_nested_tire_graphs/paper.log b/papers/coloring_nested_tire_graphs/paper.log index 5b263d5..9c81e28 100644 --- a/papers/coloring_nested_tire_graphs/paper.log +++ b/papers/coloring_nested_tire_graphs/paper.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022) (preloaded format=pdflatex 2022.10.5) 22 MAY 2026 16:46 +This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022) (preloaded format=pdflatex 2022.10.5) 25 MAY 2026 14:27 entering extended mode restricted \write18 enabled. %&-line parsing enabled. @@ -201,32 +201,32 @@ Package pdftex.def Info: fig_dual_depth.png used on input line 106. 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