We extend and generalise Sergiescu's results on planar graphs and presentations for the braid group Bₙ to other topological generalisations of Bₙ.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm188-0-1,
author = {Paolo Bellingeri and Vladimir Vershinin},
title = {Presentations of surface braid groups by graphs},
journal = {Fundamenta Mathematicae},
volume = {185},
year = {2005},
pages = {1-20},
zbl = {1165.20030},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm188-0-1}
}
Paolo Bellingeri; Vladimir Vershinin. Presentations of surface braid groups by graphs. Fundamenta Mathematicae, Tome 185 (2005) pp. 1-20. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm188-0-1/