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math-research/papers/medial_tire_decompositions_of_plane_triangulations/experiments
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didericis 9ef231655e Draw compound medial tires as separated cycles
2026-06-15 16:42:37 -04:00
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branching_medial_tire_decomposition
Draw compound medial tires as separated cycles
2026-06-15 16:42:37 -04:00
kempe_down_face_sequences_n9_m3
Read up/down apex sequences off the un-deduped census
2026-06-11 22:25:44 -04:00
kempe_down_face_sequences_n9_m4
Read up/down apex sequences off the un-deduped census
2026-06-11 22:25:44 -04:00
kempe_down_face_sequences_n9_m5
Read up/down apex sequences off the un-deduped census
2026-06-11 22:25:44 -04:00
kempe_down_face_sequences_n9_m6
Read up/down apex sequences off the un-deduped census
2026-06-11 22:25:44 -04:00
kempe_up_tooth_sequences_n9_m3
Read up/down apex sequences off the un-deduped census
2026-06-11 22:25:44 -04:00
kempe_up_tooth_sequences_n9_m4
Read up/down apex sequences off the un-deduped census
2026-06-11 22:25:44 -04:00
kempe_up_tooth_sequences_n9_m5
Read up/down apex sequences off the un-deduped census
2026-06-11 22:25:44 -04:00
kempe_up_tooth_sequences_n9_m6
Read up/down apex sequences off the un-deduped census
2026-06-11 22:25:44 -04:00
random_medial_tire_decompositions
Draw compound medial tires as separated cycles
2026-06-15 16:42:37 -04:00
tire_realization_seed1
Draw per-graph Realized/Unrealized/Invalid colouring notes
2026-06-11 17:58:41 -04:00
breaker_tile_n12.pdf
Plot the n=12 size-7 universal breaker tile
2026-06-11 23:51:36 -04:00
breaker_tile_n12.png
Plot the n=12 size-7 universal breaker tile
2026-06-11 23:51:36 -04:00
chained_seam_findings.md
Verify chain-pigeonhole exhaustively for n<=14 via R_T composition fixpoint
2026-06-12 02:34:27 -04:00
check_medial_annular_cycle_condition.py
Add figures, Kempe-cycle section, and restriction experiments
2026-06-11 01:16:05 -04:00
check_medial_face_parity.py
Verify Remark 5.8 mechanism; correct it to level-cycle conservation
2026-06-11 16:33:00 -04:00
check_remark58_bite_rich.py
Verify Remark 5.8 on genuine bite treads
2026-06-11 16:46:53 -04:00
check_remark58_bite.py
Verify Remark 5.8 on genuine bite treads
2026-06-11 16:46:53 -04:00
check_remark58_bitefree.py
Verify Remark 5.8 mechanism; correct it to level-cycle conservation
2026-06-11 16:33:00 -04:00
compare_full_reduced_medial_tires.py
…
draw_evened_leaf.py
Add even-level-cycle colouring program harness
2026-06-12 22:36:15 -04:00
draw_failing_graph.py
Draw the minimal failing graph with a verified planar embedding
2026-06-13 00:09:42 -04:00
draw_random_medial_tire_decompositions.py
Move medial tire drawing script into lib
2026-06-15 16:25:33 -04:00
draw_tire_realization.py
Draw per-graph Realized/Unrealized/Invalid colouring notes
2026-06-11 17:58:41 -04:00
draw_walkthrough.py
Walkthrough: show only the medial graph in panels C and D
2026-06-13 00:20:25 -04:00
dump_walkthrough.py
Add worked walkthrough; factor explicit phase/colorder colouring
2026-06-12 23:44:29 -04:00
even_program_findings.md
Enumerate colour/tread phase over the residue graphs
2026-06-13 00:03:49 -04:00
even_program_walkthrough.md
Fix walkthrough figure to use verified planar embeddings
2026-06-13 00:16:03 -04:00
even_program_walkthrough.png
Walkthrough: show only the medial graph in panels C and D
2026-06-13 00:20:25 -04:00
evened_leaf.png
Add even-level-cycle colouring program harness
2026-06-12 22:36:15 -04:00
failing_graph_seed2_26.png
Draw the minimal failing graph with a verified planar embedding
2026-06-13 00:09:42 -04:00
full_medial_tire_generator.py
Extract medial tire decomposition helpers
2026-06-15 14:05:17 -04:00
full_medial_tire_n9_atlas.md
Add full medial tire graph generator and n=9 atlas
2026-06-11 12:23:57 -04:00
full_medial_tire_n9_index.txt
Add full medial tire graph generator and n=9 atlas
2026-06-11 12:23:57 -04:00
full_medial_tire_n9.pdf
Add full medial tire graph generator and n=9 atlas
2026-06-11 12:23:57 -04:00
full_medial_tire_n9.png
Add full medial tire graph generator and n=9 atlas
2026-06-11 12:23:57 -04:00
full_vs_reduced_medial_tire_findings.md
…
kempe_branching_min_probe.py
Find smallest n admitting branching tiles (n=11 unrestricted, n=14 no-tri)
2026-06-12 00:31:19 -04:00
kempe_down_face_sequences.py
Read up/down apex sequences off the un-deduped census
2026-06-11 22:25:44 -04:00
kempe_even_program_harness.py
Add worked walkthrough; factor explicit phase/colorder colouring
2026-06-12 23:44:29 -04:00
kempe_interface_admissibility_probe.py
Add interface-admissibility probe; confirm parity characterization at n=12
2026-06-11 22:47:46 -04:00
kempe_regular_family_test.py
Refute the regular uniform seam family at n=15
2026-06-12 01:57:13 -04:00
kempe_rt_composition_probe.py
Verify chain-pigeonhole exhaustively for n<=14 via R_T composition fixpoint
2026-06-12 02:34:27 -04:00
kempe_rt_relations_cache.json
Verify chain-pigeonhole exhaustively for n<=14 via R_T composition fixpoint
2026-06-12 02:34:27 -04:00
kempe_sequence_orientation_note.md
Read up/down apex sequences off the un-deduped census
2026-06-11 22:25:44 -04:00
kempe_tile_overlap_probe.py
Add tile-overlap probe: per-tile interface subsets always glue
2026-06-11 22:52:38 -04:00
kempe_transfer_relation_probe.py
Add transfer-relation & uniform-family probes (chained-seam / pigeonhole)
2026-06-11 23:16:27 -04:00
kempe_uniform_family_probe.py
No-separating-triangle restriction removes the chained-seam obstruction
2026-06-12 00:21:26 -04:00
kempe_universal_trend_probe.py
No-separating-triangle restriction removes the chained-seam obstruction
2026-06-12 00:21:26 -04:00
kempe_up_tooth_sequences.py
Read up/down apex sequences off the un-deduped census
2026-06-11 22:25:44 -04:00
kempe_valid_colorings_demo.pdf
Add Kempe-balanced colouring definition and validity classifier
2026-06-11 16:00:10 -04:00
kempe_valid_colorings_demo.png
Add Kempe-balanced colouring definition and validity classifier
2026-06-11 16:00:10 -04:00
kempe_valid_colorings.py
Add Kempe-balanced colouring definition and validity classifier
2026-06-11 16:00:10 -04:00
medial_annular_cycle_condition_findings.md
Add figures, Kempe-cycle section, and restriction experiments
2026-06-11 01:16:05 -04:00
medial_tire_restriction_findings.md
Add figures, Kempe-cycle section, and restriction experiments
2026-06-11 01:16:05 -04:00
medial_tire_restriction_search.py
Add figures, Kempe-cycle section, and restriction experiments
2026-06-11 01:16:05 -04:00
plot_breaker_tile.py
Plot the n=12 size-7 universal breaker tile
2026-06-11 23:51:36 -04:00
plot_full_medial_tire_n9.py
Add full medial tire graph generator and n=9 atlas
2026-06-11 12:23:57 -04:00
residue_phase_sweep_results.txt
Enumerate colour/tread phase over the residue graphs
2026-06-13 00:03:49 -04:00
residue_phase_sweep.py
Enumerate colour/tread phase over the residue graphs
2026-06-13 00:03:49 -04:00
tire_realization_analysis.py
Extract medial tire decomposition helpers
2026-06-15 14:05:17 -04:00
tire_realization_seed1.md
Add Realized/Unrealized/Invalid tire-colouring analysis
2026-06-11 17:36:34 -04:00