Geodesic
Graphs of stable maps from closed orientable surfaces to the 2-sphere
Journal of Singularities, Tome 2 (2010), pp. 67-80

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We prove that any bipartite weighted graph can be associated to some stable map from a closed orientable surface to the sphere and obtain necessary and sufficient conditions on a graph to be attached to a fold map of a given degree.
DOI : 10.5427/jsing.2010.2e
Classification : 57R45, 57M15, 57R65 
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     author = {D. Hacon and C. Mendes de Jesus and M.C. Romero Fuster},
     title = {Graphs of stable maps from closed orientable surfaces to the 2-sphere},
     journal = {Journal of Singularities},
     pages = {67--80},
     publisher = {mathdoc},
     volume = {2},
     year = {2010},
     doi = {10.5427/jsing.2010.2e},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2010.2e/}
}
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D. Hacon; C. Mendes de Jesus and M.C. Romero Fuster. Graphs of stable maps from closed orientable surfaces to the 2-sphere. Journal of Singularities, Tome 2 (2010), pp. 67-80. doi: 10.5427/jsing.2010.2e

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