MICC: A tool for computing short distances in the curve complex

@article{Glenn2017MICCAT,
  title={MICC: A tool for computing short distances in the curve complex},
  author={P. Glenn and W. Menasco and Kayla Morrell and Matthew J. Morse},
  journal={J. Symb. Comput.},
  year={2017},
  volume={78},
  pages={115-132}
}
Abstract The complex of curves C ( S g ) of a closed orientable surface of genus g ≥ 2 is the simplicial complex whose vertices, C 0 ( S g ) , are isotopy classes of essential simple closed curves in S g . Two vertices co-bound an edge of the 1-skeleton, C 1 ( S g ) , if there are disjoint representatives in S g . A metric is obtained on C 0 ( S g ) by assigning unit length to each edge of C 1 ( S g ) . Thus, the distance between two vertices, d ( v , w ) , corresponds to the length of a… Expand
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