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20082023
most citedThe Power of Linear Programming for Valued CSPs

77 citations · 733 across the 54 of their papers we have counts for

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9 papers · 1 filter

cs.DM2023

A Strongly Polynomial-Time Algorithm for Weighted General Factors with Three Feasible Degrees

Shuai Shao, Stanislav Živný

General factors are a generalization of matchings. Given a graph with a set of feasible degrees, called a degree constraint, for each vertex of , the general fact…

cs.DM2020★ 3 cited

PTAS for Sparse General-Valued CSPs

Balázs F. Mezei, Marcin Wrochna, Stanislav Živný

We study polynomial-time approximation schemes (PTASes) for constraint satisfaction problems (CSPs) such as Maximum Independent Set or Minimum Vertex Cover on sparse graph classes.…

cs.DM2019★ 22 cited

The complexity of promise SAT on non-Boolean domains

Alex Brandts, Marcin Wrochna, Stanislav Živný

While 3-SAT is NP-hard, 2-SAT is solvable in polynomial time. Austrin, Guruswami, and Håstad roved a result known as "-SAT is NP-hard" [FOCS'14/SICOMP'17]. They sh…

cs.DM2019

Pliability and Approximating Max-CSPs

Miguel Romero, Marcin Wrochna, Stanislav Živný

We identify a sufficient condition, treewidth-pliability, that gives a polynomial-time algorithm for an arbitrarily good approximation of the optimal value in a large class of Max-…

cs.DM2018★ 1 cited

A tractable class of binary VCSPs via M-convex intersection

Hiroshi Hirai, Yuni Iwamasa, Kazuo Murota +1

A binary VCSP is a general framework for the minimization problem of a function represented as the sum of unary and binary cost functions. An important line of VCSP research is to…

cs.DM2017★ 2 cited

Discrete Convexity in Joint Winner Property

Yuni Iwamasa, Kazuo Murota, Stanislav Zivny

In this paper, we reveal a relation between joint winner property (JWP) in the field of valued constraint satisfaction problems (VCSPs) and M-convexity in the field of…

cs.DM2016★ 4 cited

Functional Clones and Expressibility of Partition Functions

Andrei Bulatov, Leslie Ann Goldberg, Mark Jerrum +2

We study functional clones, which are sets of non-negative pseudo-Boolean functions (functions ) closed under (essentially) multiplication, summati…

cs.DM2016★ 2 cited

Binarisation for Valued Constraint Satisfaction Problems

David A. Cohen, Martin C. Cooper, Peter G. Jeavons +3

We study methods for transforming valued constraint satisfaction problems (VCSPs) to binary VCSPs. First, we show that the standard dual encoding preserves many aspects of the alge…

cs.DM2008★ 51 cited

The Expressive Power of Binary Submodular Functions

Stanislav Zivny, David A. Cohen, Peter G. Jeavons

It has previously been an open problem whether all Boolean submodular functions can be decomposed into a sum of binary submodular functions over a possibly larger set of variables.…