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- W2065078642 abstract "A nonnegative integer called the “rank” will be associated with each four-coloring of a rooted trivalent planar map. Our two main results are asymptotic expressions for the average number of four-colorings of ranks 0 and 1 for maps of $2n$ vertices. For rank 0 the average is asymptotically [ 8(3pi n)^{ - 1/2} (32/27)^n, ]and for rank 1, [ 8(3pi )^{ - 1/2} (4 /pi - 1) n^{1/2} (32/27)^n . ]" @default.
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- W2065078642 date "1969-03-01" @default.
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- W2065078642 title "On the Enumeration of Four-Colored Maps" @default.
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- W2065078642 doi "https://doi.org/10.1137/0117044" @default.
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