Shapiro, B.; Shapiro, M.; Vainshtein, A. Ramified coverings of \(S^ 2\) with one degenerate branching point and enumeration of edge-ordered graphs. (English) Zbl 0883.05072 Khovanskij, A. (ed.) et al., Topics in singularity theory. V. I. Arnold’s 60th anniversary collection. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 180(34), 219-227 (1997). From the authors’ abstract: In this short note we extend the results of Lyashko, Looijenga, and Arnold on the number of nonequivalent rational functions on the sphere with 1 or 2 poles and simple finite branching points to several other cases. In particular, we calculate the number of meromorphic functions on the torus with the same properties.For the entire collection see [Zbl 0870.00037]. Reviewer: E.M.Palmer (East Lansing) Cited in 1 ReviewCited in 13 Documents MSC: 05C30 Enumeration in graph theory 30F10 Compact Riemann surfaces and uniformization PDF BibTeX XML Cite \textit{B. Shapiro} et al., Transl., Ser. 2, Am. Math. Soc. 180, 219--227 (1997; Zbl 0883.05072)