Enumeration of m-Ary Cacti
نویسندگان
چکیده
منابع مشابه
Enumeration of M-ary Cacti
The purpose of this paper is to enumerate various classes of cyclically colored m-gonal plane cacti, called m-ary cacti. This combinatorial problem is motivated by the topological classiication of complex polynomials having at most m critical values, studied by Zvonkin and others. We obtain explicit formulae for both labelled and unlabelled m-ary cacti, according to i) the number of polygons, i...
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We enumerate cyclically colored m-gonal plane cacti (called m-ary cacti) according to the degree distribution of vertices of each color. This combinatorial problem is motivated by the topological classification of complex polynomials having at most m critical values, studied by Zvonkin and others. The corresponding problem for rooted m-ary cacti has been solved by Goulden and Jackson in connect...
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2000
ISSN: 0196-8858
DOI: 10.1006/aama.1999.0665