TY - GEN

T1 - Improved upper bounds for random-edge and random-jump on abstract cubes

AU - Hansen, Thomas Dueholm

AU - Paterson, Mike

AU - Zwick, Uri

PY - 2014

Y1 - 2014

N2 - Upper bounds are given for the complexity of two very natural randomized algorithms for finding the sink of an Acyclic Unique Sink Orientation (AUSO) of the n-cube. For Random-Edge, we obtain an upper bound of about 1.80n, improving upon the the previous upper bound of about 2n/n logn obtained by Gartner and Kaibel. For Random- Jump, we obtain an upper bound of about (3/2)n, improving upon the previous upper bound of about 1.72n obtained by Mansour and Singh. AUSOs provide an appealing combinatorial abstraction of linear programming and other computational problems such as finding optimal strategies for turn-based Stochastic Games.

AB - Upper bounds are given for the complexity of two very natural randomized algorithms for finding the sink of an Acyclic Unique Sink Orientation (AUSO) of the n-cube. For Random-Edge, we obtain an upper bound of about 1.80n, improving upon the the previous upper bound of about 2n/n logn obtained by Gartner and Kaibel. For Random- Jump, we obtain an upper bound of about (3/2)n, improving upon the previous upper bound of about 1.72n obtained by Mansour and Singh. AUSOs provide an appealing combinatorial abstraction of linear programming and other computational problems such as finding optimal strategies for turn-based Stochastic Games.

UR - http://www.scopus.com/inward/record.url?scp=84902097275&partnerID=8YFLogxK

U2 - 10.1137/1.9781611973402.65

DO - 10.1137/1.9781611973402.65

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AN - SCOPUS:84902097275

SN - 9781611973389

T3 - Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms

SP - 874

EP - 881

BT - Proceedings of the 25th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2014

PB - Association for Computing Machinery

T2 - 25th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2014

Y2 - 5 January 2014 through 7 January 2014

ER -