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· 1971 · DOI 10.1016/0095-8956(71)90016-5

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One extra edge forces Berge pancyclicity

math.CO · 2026-06-10 · unverdicted · novelty 7.0

For sufficiently large n with r = floor((n-1)/2), any Hamiltonian Berge cycle plus one additional edge in an n-vertex r-uniform hypergraph contains Berge cycles of all lengths 2 to n.

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  • One extra edge forces Berge pancyclicity math.CO · 2026-06-10 · unverdicted · none · ref 6

    For sufficiently large n with r = floor((n-1)/2), any Hamiltonian Berge cycle plus one additional edge in an n-vertex r-uniform hypergraph contains Berge cycles of all lengths 2 to n.