From cc81b804db4775fd9196915c9b5f67b9c5cf6c23 Mon Sep 17 00:00:00 2001 From: didericis Date: Mon, 25 May 2026 02:56:27 -0400 Subject: [PATCH] face_monochromatic_pairs: embed counterexample figure into paper MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Replaces the placeholder fbox figure with the rendered PNG from experiments/counterexample_conj_5_5.py (40-vertex cubic plane graph, proper 3-edge-coloured, both K_{red,blue} 8-cycle and K_{red,green} 12-cycle constant h_φ = -1, sharing the colour-red edge (0, 7)). Disproof remark also updated to give the actual structural details (40 vertices, the +1/-1 split 16/24, location of the +1-region in the inner ladder) instead of a placeholder description. Co-Authored-By: Claude Opus 4.7 --- papers/face_monochromatic_pairs/paper.pdf | Bin 1119834 -> 1220292 bytes papers/face_monochromatic_pairs/paper.tex | 60 +++++++++++++--------- 2 files changed, 36 insertions(+), 24 deletions(-) diff --git a/papers/face_monochromatic_pairs/paper.pdf b/papers/face_monochromatic_pairs/paper.pdf index 0c6d559edef035d46092c59aeb032c0c4131a58b..37bb4de792da0a21d93cd2e4d97bb3f50f6c7d30 100644 GIT binary patch delta 157402 zcmZs?1yGgU7cYEBX+%LlL_oUX(A^**Al)S`-TfdSDBWF3H-dC`Nq0$icfs+yTXOoO?09*ik073v_08#*Qz_S390Mr1q-{{99aBK;zh^Q~& zxmaSBiD-dA9bM0P&Wh&YGP^6&ojfv8FC2rj^LKk6lGAfPaP{#tZ66{rj=s{?9E(M_7T|(>G2Of+zxEON?+u7JE8a%%Wy?vyZN9fA4vExEin(xPhi+)n*0v z;Vec!20u@ycYU^Cy>IsHyk}adNzn5K`AF~SdjB`@yszPCSYA2Jq;J^mYX6SQcIR?d z0q8+bZ}hxL)zYi2dA!2p$Y}D}C}Z0{y&XIwQBXF?magT0m~MD-KNU5mMxu9!TANdf zYvUc1rlX+eW;|H@>8D;SU0S$Vkv#6q(c)CX$s_auX@PmVXdph_d2c7ixh8XSc5t74 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