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Article Dans Une Revue Ars Mathematica Contemporanea Année : 2011

Enumeration of genus four maps by number of edges

Résumé

An explicit form of the ordinary generating function for the number of rooted maps on a closed orientable surface of genus four with a given number of edges is given. An analytical formula for the number of unrooted maps of genus four with a given number of edges is obtained through the number of rooted ones. Both results are new.

Dates et versions

hal-01222902 , version 1 (30-10-2015)

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Alexander Mednykh, Alain Giorgetti. Enumeration of genus four maps by number of edges. Ars Mathematica Contemporanea, 2011, 4 (2), pp.351-361. ⟨10.26493/1855-3974.132.fe2⟩. ⟨hal-01222902⟩
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