Nowhere-Zero 4-Flows, Simultaneous Edge-Colorings, And Critical Partial Latin Squares
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It is proved in this paper that every bipartite graphic sequence with the minimum degree δ ≥ 2 has a realization that admits a nowhere-zero 4-flow. This result implies a conjecture originally proposed by Keedwell (1993) and reproposed by Cameron (1999) about simultaneous edge-colorings and critical partial Latin squares.
Mathematics Subject Classification (2000):05C15 05B15 05C38 05C70 05C07
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