Geodesic
Calculation of Bely\v{\i} functions for trees with weighted edges
Zapiski Nauchnykh Seminarov POMI, Combinatorics and graph theory. Part V, Tome 446 (2016), pp. 122-138

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The paper presents a technique for the automatic calculation of Belyǐ functions for trees with weighted edges. 
@article{ZNSL_2016_446_a6,
     author = {Yu. Matiyasevich},
     title = {Calculation of {Bely\v{\i}} functions for trees with weighted edges},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {122--138},
     publisher = {mathdoc},
     volume = {446},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_446_a6/}
}
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Yu. Matiyasevich. Calculation of Bely\v{\i} functions for trees with weighted edges. Zapiski Nauchnykh Seminarov POMI, Combinatorics and graph theory. Part V, Tome 446 (2016), pp. 122-138. http://geodesic.mathdoc.fr/item/ZNSL_2016_446_a6/