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- W1965685874 abstract "Let f ( k ) be the largest number such that each k -regular bipartite graph with 2 n vertices has at least ƒ(k) n 1-factorizations. We prove that ƒ(k)⩽ k! 2 k k , and that equality holds if k contains no other prime factors than 2 and 3. We conjecture equality for each k ." @default.
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- W1965685874 date "1982-01-01" @default.
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- W1965685874 title "On the number of edge-colourings of regular bipartite graphs" @default.
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- W1965685874 doi "https://doi.org/10.1016/0012-365x(82)90295-3" @default.
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