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A bijective proof of the enumeration of maps in higher genus. (arXiv:1711.05606v1 [math.CO])
来源于:arXiv
Bender and Canfield proved in 1991 that the generating series of maps in
higher genus is a rational function of the generating series of planar maps. In
this paper, we give the first bijective proof of this result. Our approach
starts with the introduction of a canonical orientation that enables us to
construct a bijection between $4$-valent bicolorable maps and a family of
unicellular blossoming maps. 查看全文>>