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The.Algorithm.Design.Manual.Springer-Verlag.1998

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A compendium of NP optimization problems<br />

A compendium of NP optimization<br />

problems<br />

Pierluigi Crescenzi , piluc@dsi.uniroma1.it and Viggo Kann , viggo@nada.kth.se<br />

This is a preliminary version (April 1997) of the catalog of NP optimization problems. Please send any<br />

comment or suggestion to one of the two authors. A printed version of the compendium will appear in:<br />

Ausiello, G., Crescenzi, P., Gambosi, G., Kann, V., Marchetti Spaccamela, A., and Protasi, M.,<br />

Approximate solution of NP-hard optimization problems. <strong>Springer</strong>-Verlag, 1997/1998<br />

<strong>The</strong> latest version of the compendium is available on WWW at<br />

http://www.nada.kth.se/theory/compendium/ . <strong>The</strong>re you will also find WWW forms to report new<br />

problems, new results on existing problems and errors.<br />

Abstract:<br />

Due to the fact that no NP-complete problem can be solved in polynomial time (unless P=NP), many<br />

approximability results (both positive and negative) of NP-hard optimization problems have appeared in<br />

the technical literature. In this compendium, we collect a large number of these results.<br />

● Introduction<br />

❍ NPO Problems: Definitions and Preliminaries<br />

❍ Approximate <strong>Algorithm</strong>s and Approximation Classes<br />

❍ Completeness in Approximation Classes<br />

❍ A list of NPO problems<br />

❍ Improving the compendium<br />

● Graph <strong>The</strong>ory<br />

❍ Covering and Partitioning<br />

❍ Subgraphs and Supergraphs<br />

❍ Vertex Ordering<br />

file:///E|/COMPEND/COMPED19/COMPENDI.HTM (1 of 2) [19/1/2003 1:36:58]

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