TY - JOUR
T1 - Approximating shortest path for the skew lines problem in time doubly logarithmic in 1/epsilon
AU - Burago, D.
AU - Grigoriev, D.
AU - Slissenko, A.
N1 - Funding Information:
∗Corresponding author. E-mail addresses: burago@math.psu.edu (D. Burago), dima@math.univ-rennes1.fr (D. Grigoriev), slissenko@univ-paris12.fr (A. Slissenko). 1Partially supported by an Alferd P. Sloan Fellowship and NSF Grant DMS-9803129. 2Member of St-Petersburg Steklov Mathematical Institute, Russian Academy of Sciences, St-Petersburg, Russia. 3Member of St-Petersburg Institute for Informatics, Russian Academy of Sciences, St-Petersburg, Russia.
PY - 2004/5/6
Y1 - 2004/5/6
N2 - The approximation of shortest path for skew line problems in time doubly logarithmic in 1/epsilon was studied. A three-dimensional situation was considered where a polytime algorithm for approximating a shortest path can be constructed. Very simple grid approximations were also analyzed by assuming that a parameter describing separability of obstacle is given. It was found that that there is a algorithm of time complexity, which finds a path whose length is bounded from above.
AB - The approximation of shortest path for skew line problems in time doubly logarithmic in 1/epsilon was studied. A three-dimensional situation was considered where a polytime algorithm for approximating a shortest path can be constructed. Very simple grid approximations were also analyzed by assuming that a parameter describing separability of obstacle is given. It was found that that there is a algorithm of time complexity, which finds a path whose length is bounded from above.
UR - http://www.scopus.com/inward/record.url?scp=2042536010&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=2042536010&partnerID=8YFLogxK
U2 - 10.1016/j.tcs.2004.01.014
DO - 10.1016/j.tcs.2004.01.014
M3 - Article
AN - SCOPUS:2042536010
VL - 315
SP - 371
EP - 404
JO - Theoretical Computer Science
JF - Theoretical Computer Science
SN - 0304-3975
IS - 2-3
ER -