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JACM
2007
115views more  JACM 2007»
13 years 6 months ago
Optimal pants decompositions and shortest homotopic cycles on an orientable surface
We consider the problem of finding a shortest cycle (freely) homotopic to a given simple cycle on a compact, orientable surface. For this purpose, we use a pants decomposition of...
Éric Colin de Verdière, Francis Laza...
SIAMCOMP
2010
93views more  SIAMCOMP 2010»
13 years 1 months ago
Tightening Nonsimple Paths and Cycles on Surfaces
We describe algorithms to compute the shortest path homotopic to a given path, or the shortest cycle freely homotopic to a given cycle, on an orientable combinatorial surface. Unli...
Éric Colin de Verdière, Jeff Erickso...
CORR
2006
Springer
103views Education» more  CORR 2006»
13 years 7 months ago
Pants Decomposition of the Punctured Plane
A pants decomposition of an orientable surface is a collection of simple cycles that partition into pants, i.e., surfaces of genus zero with three boundary cycles. Given a set P...
Sheung-Hung Poon, Shripad Thite