Asymptotic enumeration of Eulerian digraphs with multiple edges
نویسنده
چکیده
2. Main result. By an eulerian digraph we mean a digraph in which the in-degree is equal to the out-degree at each vertex. Let ED ME ( n, t) be the number of labelled loop-free eulerian digraphs with n vertices in which the multiplicity of each edge is at most t. Allowing loops would multiply ED ME (n, t) by exactly (t + 1) n, since loops do not affect the eulerian property. For the case where t = 1, McKay [1] obtained the asymptotic formula
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 5 شماره
صفحات -
تاریخ انتشار 1992