A Unified Representation for Some Combinatorial Optimization Problems,

Abstract

In this short note, we list a number of combinatorial optimization problems, among them the Traveling Salesman Problem and the Graph Partitioning Problem, that can be represented by a common matrix formulation. This formulation was used previously by Brockett to study certain geometric matching problems. Although this unified representation does not necessarily imply the existence of a unified efficient algorithm to solve all these problems, it may provide useful insights for a better understanding of the structure of these problems.

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1992
Accession Number
ADP006625

Entities

People

  • Wing Shing Wong

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Evolutionary Algorithms
  • Heuristic Methods
  • Interdisciplinary Science
  • Mathematical Programming
  • Mathematics
  • Minnesota
  • Operations Research
  • Optimization

Readers

  • Operations Research
  • Theoretical Analysis.