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Add Kempe-chain structure of 4-colorings of edge-deletion subgraphs

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For G_0 a minimum-order 5-chromatic maximal planar graph and any
4-coloring of G_0 - uv, the endpoints u, v must share a color, and the
color classes pairing that color with each of two other colors must
each induce a u-v path. The Kempe-chain parts follow from a standard
swap-on-component contradiction against the shared-color claim.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
This commit is contained in:
didericis
2026-05-14 00:31:40 -04:00
parent f6144b98b5
commit 6c7bd9e0db
5 changed files with 42 additions and 9 deletions
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papers/flip_symmetric_maximal_planar_graphs/paper.fdb_latexmk
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