Apr 10, 2018 · We introduce the problem EndOfPotentialLine and the corresponding complexity class EOPL of all problems that can be reduced to it in polynomial time.

Nov 9, 2018 · Title:Unique End of Potential Line ... Abstract:This paper studies the complexity of problems in PPAD \cap PLS that have unique solutions.

Here we identify a subclass of CLS – called UniqueEOPL – that applies a more specific combinatorial principle that guarantees unique solutions.

The complexity class Unique End of Potential Line (UniqueEOPL) was introduced in. 2018 by [Fea+18] and captures total search problems that are promised to have ...

End-of-the-Line: Given a graph G of in/out degree at most 1 and a source start vertex find another vertex of degree 1 ...

Solutions of type 1 are ends of lines, and solutions of type 2 are points where the potential does not increase along an edge. We define the complexity class ...

UEOPL is shown to be a promise-subclass of EOPL in which the line in the End-of-Potential-Line instance is guaranteed to be unique via a promise, ...

Feb 7, 2019 · We study the complexity of problems in PPAD ∩ PLS that have unique solutions. Three well-known examples of such problems are the problem of ...

Mar 18, 2021 · The goal of this work is to give a comprehensive introduction to the complexity theory of search problems with a focus on the class UniqueEOPL.

Jul 9, 2024 · Learning Objectives. By the end of this section, you will be able to: Calculate the potential due to a point charge; Calculate the potential ...