Valery A. Liskovets. Some asymptotical estimates for planar Eulerian maps. Combinat. , Probab. and Comput., 5:131--138, 1996.  Home/Search   Document Not in Database   Summary   Related Articles

....maps. See [3] and [4] for a discussion. The proofs of richness require that the number of n edge maps in a class grows like r n(1 o(1) for some r 0. Such a class is said to be smoothly growing. All of the smoothly growing classes of planar maps listed in Theorem 1 of [3] and the table in [26] have 0 1 laws. The descriptions of these classes are somewhat technical, so we do not include them here. 6. CONCLUSION Theorem 5.2 gives 0 1 laws for many classes of maps, but one interesting question is still open. Does the class of planar graphs have a 0 1 law By this we mean that the ....

Valery A. Liskovets. Some asymptotical estimates for planar Eulerian maps. Combinat. , Probab. and Comput., 5:131--138, 1996.

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