Geodesic
Classification of \((p,q,n)\)-dipoles on nonorientable surfaces
The electronic journal of combinatorics, Tome 17 (2010)
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A type of rooted map called $(p,q,n)$-dipole, whose numbers on surfaces have some applications in string theory, are defined and the numbers of $(p,q,n)$-dipoles on orientable surfaces of genus 1 and 2 are given by Visentin and Wieler (The Electronic Journal of Combinatorics 14 (2007),#R12). In this paper, we study the classification of $(p,q,n)$-dipoles on nonorientable surfaces and obtain the numbers of $(p,q,n)$-dipoles on the projective plane and Klein bottle.
DOI : 10.37236/461
Classification : 05C10, 05C30 
@article{10_37236_461,
     author = {Yan Yang and Yanpei Liu},
     title = {Classification of \((p,q,n)\)-dipoles on nonorientable surfaces},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/461},
     zbl = {1184.05036},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/461/}
}
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%A Yanpei Liu
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Yan Yang; Yanpei Liu. Classification of \((p,q,n)\)-dipoles on nonorientable surfaces. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/461

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