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conference paper
2D-TUCKER Is PPAD-Complete
2009
Internet And Network Economics, Proceedings
Tucker's lemma states that if we triangulate the unit disc centered at the origin and color the vertices with {1, 1,2, 2} in an antipodal way (if vertical bar z vertical bar = 1, then the sum of the colors of z and -z is zero), then there must be an edge For which the sum of the colors of its endpoints is zero. But how hard is it to find such all edge? We show Butt if the triangulation is exponentially large and the coloring is determined by a deterministic Turing-machine, then this problem is PPAD-complete which implies that there is not too much hope for a polynomial algorithm.
Type
conference paper
Web of Science ID
WOS:000278097500057
Authors
Publication date
2009
Published in
Internet And Network Economics, Proceedings
ISBN of the book
978-3-642-10840-2
Series title/Series vol.
Lecture Notes in Computer Science
Volume
5929
Start page
569
End page
574
Subjects
Peer reviewed
REVIEWED
Written at
EPFL
EPFL units
Event name | Event place | Event date |
Rome, ITALY | Dec 14-18, 2009 | |
Available on Infoscience
November 24, 2010
Use this identifier to reference this record