Publication detail

Integer Programming Approach to Graph Colouring Problem and Its Implementation in GAMS

ŠEDA, M.

English title

Integer Programming Approach to Graph Colouring Problem and Its Implementation in GAMS

Type

Scopus Article

Language

en

Original abstract

The graph colouring problem is one of the most studied combinatorial optimisation problems, one with many applications, e. g., in timetabling, resource assignment, team-building problems, network analysis, and cartography. Because of its NP-hardness, the question arises of its solvability for larger instances. Instead of the traditional approaches based on the use of approximate or stochastic heuristic methods, we focus here on the direct use of an integer programming model in the GAMS environment. This environment makes it possible to solve instances much larger than in the past. Neither does it require complex parameter settings or statistical evaluation of the results as in the case of stochastic heuristics because the computational core of software tools, nested in GAMS, is deterministic in nature.

Keywords in English

graph colouring, independent set, NP-hard problem, integer programming, GAMS

Released

2023-05-31

Publisher

WSEAS

ISSN

1790-2769

Volume

22

Number

May

Pages from–to

532–537

Pages count

6

BIBTEX


@article{BUT183950,
  author="Miloš {Šeda}",
  title="Integer Programming Approach to Graph Colouring Problem and Its Implementation in GAMS",
  year="2023",
  volume="22",
  number="May",
  pages="532--537",
  doi="10.37394/23202.2023.22.53",
  url="https://wseas.com/journals/systems/2023/b085102-033(2023).pdf"
}