A Comparison of Approaches for Solving Hard Graph-Theoretic Problems

Abstract

In order to formulate mathematical conjectures likely to be true, a number of base cases must be determined. However,many combinatorial problems are NP-hard and the computational complexity makes this research approach difficult using a standard brute force approach on a typical computer. One sample problem explored is that of finding a minimum identifying code. To work around the computational issues, a variety of methods are explored and consist of a parallel computing approach using Matlab, a quantum annealing approach using the D-Wave computer, and lastly using satisfiability modulo theory (SMT) and corresponding SMT solvers

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Document Details

Document Type
Technical Report
Publication Date
Apr 29, 2015
Accession Number
AD1003124

Entities

People

  • Stanley Bak
  • Steve Adachi
  • Victoria Horan

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Algorithms
  • Annealing
  • Computer Science
  • Computers
  • Couplings
  • Demographic Cohorts
  • Embedding
  • Governments
  • Graph Theory
  • Ground State
  • High Performance Computing
  • Inequalities
  • Military Research
  • Numbers
  • Parallel Computing

Fields of Study

  • Computer science

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Computational Modeling and Simulation

Technology Areas

  • Quantum Computing