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math.CO2014
Matrix integrals and generating functions for enumerating rooted hypermaps by vertices, edges and faces for a given number of darts
Jacob P. Dyer
A recursive method is given for finding generating functions which enumerate rooted hypermaps by number of vertices, edges and faces for any given number of darts. It makes use of…
math.CO2014★ 2 cited
Matrix integrals and generating functions for permutations and one-face rooted hypermaps
Jacob P. Dyer
Closed-form generating functions for counting one-face rooted hypermaps with a known number of darts by number of vertices and edges is found, using matrix integral expressions rel…