From b7777cb45e482979b1fbeef9c4580cc0209c0453 Mon Sep 17 00:00:00 2001 From: didericis Date: Sat, 9 May 2026 11:52:07 -0400 Subject: [PATCH] Add plane diamond coloring paper with 2-colorability theorem Defines distance partition (BFS layers from a chosen vertex) and the diamond scaffold of a maximal planar graph (G with all same-level edges removed), then proves the diamond scaffold is 2-colorable by parity of level. Co-Authored-By: Claude Opus 4.7 --- papers/plane_diamond_coloring/paper.aux | 9 + .../plane_diamond_coloring/paper.fdb_latexmk | 53 ++++++ papers/plane_diamond_coloring/paper.fls | 159 ++++++++++++++++ papers/plane_diamond_coloring/paper.log | 172 ++++++++++++++++++ papers/plane_diamond_coloring/paper.pdf | Bin 0 -> 139867 bytes papers/plane_diamond_coloring/paper.tex | 111 +++++++++++ 6 files changed, 504 insertions(+) create mode 100644 papers/plane_diamond_coloring/paper.aux create mode 100644 papers/plane_diamond_coloring/paper.fdb_latexmk create mode 100644 papers/plane_diamond_coloring/paper.fls create mode 100644 papers/plane_diamond_coloring/paper.log create mode 100644 papers/plane_diamond_coloring/paper.pdf create mode 100644 papers/plane_diamond_coloring/paper.tex diff --git a/papers/plane_diamond_coloring/paper.aux b/papers/plane_diamond_coloring/paper.aux new file mode 100644 index 0000000..9d8bca2 --- /dev/null +++ b/papers/plane_diamond_coloring/paper.aux @@ -0,0 +1,9 @@ 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