A Characterization of Reductions among Combinatorial Problems

  • G. Ausiello
  • A. D’Atri
  • M. Protasi
Part of the International Centre for Mechanical Sciences book series (CISM, volume 266)


In this paper we introduce the concept of convex optimi zation problem associated to an NP-complete set and we study the combinatorial properties of families of such problems. The notion of structure is introduced and through this notion approximability properties and a partial ordering of families of optimization problems are shown.


Turing Machine Combinatorial Problem Structure Preserve Finite Graph Input Element 
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Copyright information

© Springer-Verlag Wien 1981

Authors and Affiliations

  • G. Ausiello
    • 1
  • A. D’Atri
    • 2
  • M. Protasi
    • 3
  1. 1.Centro di Studio dei Sistemi di Controllo e Calcolo Automatici del CNRRomaItalia
  2. 2.Istituto di Automatica dell’Università di RomaRomaItalia
  3. 3.Istituto di Matematica dell ‘Università dell’AquilaL’AquilaItalia

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