DeepAI AI Chat
Log In Sign Up

Unique Sink Orientations of Grids is in Unique End of Potential Line

by   Michaela Borzechowski, et al.
Freie Universität Berlin

The complexity classes Unique End of Potential Line (UEOPL) and its promise version PUEOPL were introduced in 2018 by Fearnly et al. UEOPL captures search problems where the instances are promised to have a unique solution. UEOPL captures total search versions of these promise problems. The promise problems can be made total by defining violations that are returned as a short certificate of an unfulfilled promise. GridUSO is the problem of finding the sink in a grid with a unique sink orientation. It was introduced by Gärtner et al. We describe a promise preserving reduction from GridUSO to UniqueForwardEOPL, a UEOPL-complete problem. Thus, we show that GridUSO is in UEOPL and its promise version is in PUEOPL.


page 1

page 2

page 3

page 4


Unique End of Potential Line

This paper studies the complexity of problems in PPAD ∩ PLS that have un...

Further Collapses in TFNP

We show =∩. Here the class consists of all total search problems that r...

On Degeneracy in the P-Matroid Oriented Matroid Complementarity Problem

We investigate degeneracy in the P-Matroid Oriented Matroid Complementar...

End of Potential Line

We introduce the problem EndOfPotentialLine and the corresponding comple...

Computational Complexity of the α-Ham-Sandwich Problem

The classic Ham-Sandwich theorem states that for any d measurable sets i...