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» Complexity Cores and Hard Problem Instances
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85
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TIT
2011
131views more  TIT 2011»
14 years 6 months ago
On the Hardness of Approximating the Network Coding Capacity
Abstract—This work addresses the computational complexity of achieving the capacity of a general network coding instance. We focus on the linear capacity, namely the capacity of ...
Michael Langberg, Alexander Sprintson
110
Voted
ICALP
2007
Springer
15 years 5 months ago
Universal Algebra and Hardness Results for Constraint Satisfaction Problems
We present algebraic conditions on constraint languages Γ that ensure the hardness of the constraint satisfaction problem CSP(Γ) for complexity classes L, NL, P, NP and ModpL. Th...
Benoit Larose, Pascal Tesson
122
Voted
CSR
2007
Springer
15 years 5 months ago
Ruling Out Polynomial-Time Approximation Schemes for Hard Constraint Satisfaction Problems
The maximum constraint satisfaction problem (Max CSP) is the following computational problem: an instance is a finite collection of constraints on a set of variables, and the goal...
Peter Jonsson, Andrei A. Krokhin, Fredrik Kuivinen
ICS
2010
Tsinghua U.
15 years 9 months ago
On the Construction of One-Way Functions from Average Case Hardness
In this paper we study the possibility of proving the existence of one-way functions based on average case hardness. It is well-known that if there exists a polynomial-time sample...
Noam Livne
87
Voted
SAT
2004
Springer
117views Hardware» more  SAT 2004»
15 years 5 months ago
A Random Constraint Satisfaction Problem That Seems Hard for DPLL
Abstract. This paper discusses an NP-complete constraint satisfaction problem which appears to share many of the threshold characteristics of SAT but is similar to XOR-SAT and so i...
Harold S. Connamacher