On the approximability of minimizing nonzero variables or unsatisfied relations in linear systems

E Amaldi, V Kann - Theoretical Computer Science, 1998 - Elsevier
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 …

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 …

Simple heuristics for unit disk graphs

MV Marathe, H Breu, HB Hunt III, SS Ravi… - …, 1995 - Wiley Online Library
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 …

[PDF][PDF] A compendium of NP optimization problems

P Crescenzi, V Kann, M Halldórsson - 1995 - Citeseer
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 …

The complexity and approximability of finding maximum feasible subsystems of linear relations

E Amaldi, V Kann - Theoretical computer science, 1995 - Elsevier
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 …

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 …

[HTML][HTML] Paths, trees and matchings under disjunctive constraints

A Darmann, U Pferschy, J Schauer… - Discrete Applied …, 2011 - Elsevier
We study the minimum spanning tree problem, the maximum matching problem and the
shortest path problem subject to binary disjunctive constraints: A negative disjunctive …

A quantum walk-assisted approximate algorithm for bounded NP optimisation problems

S Marsh, JB Wang - Quantum Information Processing, 2019 - Springer
This paper describes an application of the quantum approximate optimisation algorithm
(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 …

[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 …