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On the approximability of minimizing nonzero variables or unsatisfied relations in linear systems
We investigate the computational complexity of two closely related classes of combinatorial
optimization problems for linear systems which arise in various fields such as machine …
optimization problems for linear systems which arise in various fields such as machine …
Some APX-completeness results for cubic graphs
P Alimonti, V Kann - Theoretical Computer Science, 2000 - Elsevier
Four fundamental graph problems, Minimum vertex cover, Maximum independent set,
Minimum dominating set and Maximum cut, are shown to be APX-complete even for cubic …
Minimum dominating set and Maximum cut, are shown to be APX-complete even for cubic …
Simple heuristics for unit disk graphs
Unit disk graphs are intersection graphs of circles of unit radius in the plane. We present
simple and provably good heuristics for a number of classical NP‐hard optimization …
simple and provably good heuristics for a number of classical NP‐hard optimization …
[PDF][PDF] A compendium of NP optimization problems
Due to the fact that no NP-complete problem can be solved in polynomial time (unless P=
NP), many approximability results (both positive and negative) of NP-hard optimization …
NP), many approximability results (both positive and negative) of NP-hard optimization …
The complexity and approximability of finding maximum feasible subsystems of linear relations
We study the combinatorial problem which consists, given a system of linear relations, of
finding a maximum feasible subsystem, that is a solution satisfying as many relations as …
finding a maximum feasible subsystem, that is a solution satisfying as many relations as …
Hardness of approximating problems on cubic graphs
P Alimonti, V Kann - Italian conference on algorithms and complexity, 1997 - Springer
Four fundamental graph problems, Minimum vertex cover, Maximum independent set,
Minimum dominating set and Maximum cut, are shown to be APX-complete even for cubic …
Minimum dominating set and Maximum cut, are shown to be APX-complete even for cubic …
[HTML][HTML] Paths, trees and matchings under disjunctive constraints
We study the minimum spanning tree problem, the maximum matching problem and the
shortest path problem subject to binary disjunctive constraints: A negative disjunctive …
shortest path problem subject to binary disjunctive constraints: A negative disjunctive …
A quantum walk-assisted approximate algorithm for bounded NP optimisation problems
This paper describes an application of the quantum approximate optimisation algorithm
(QAOA) to efficiently find approximate solutions for computational problems contained in the …
(QAOA) to efficiently find approximate solutions for computational problems contained in the …
Approximating the minimum maximal independence number
MM Halldórsson - Information Processing Letters, 1993 - Elsevier
We consider the problem of approximating the size of a minimum non-extendible
independent set of a graph, also known as the minimum dominating independence number …
independent set of a graph, also known as the minimum dominating independence number …
[KIRJA][B] Principles of ad-hoc networking
M Barbeau, E Kranakis - 2007 - books.google.com
Principles of Ad Hoc Networking presents a systematic introduction to the fundamentals of
ad hoc networks. An ad-hoc network is a small network, especially one with wireless or …
ad hoc networks. An ad-hoc network is a small network, especially one with wireless or …