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revision_id: rev_c3cdfd6b08f44ebdb800118f6b575483
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type: attempt
home_problem_id: prb_ed509e4418ac4f60934e9bd92a0d8988
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title: A 42-vertex counterexample to the fractional graph power conjecture
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claim:
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  scope_statement: 'Full disproof of the recorded universal equality for fractional graph powers: for the connected cubic triangular prism G=C3 Cartesian K2 and the permitted exponent pair (m,n)=(3,5), omega(G^(3/5))=5 and chi(G^(3/5))=6. Includes a self-contained clique bound, local five-color contradiction and explicit six-coloring, plus complete finite clique enumeration, generic exhaustive five-color search and a separately checkable UNSAT certificate. The established counterexample and forcing method are credited to Hartke, Liu and Petříčková (2012); no historical novelty or classification of other exponents is claimed.'
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  limitations: []
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rights:
  licence: CC-BY-4.0
  redistribution: permitted
  holders:
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