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JACM
2007
115views more  JACM 2007»
13 years 4 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»
12 years 11 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 4 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