A STUDY OF DOMINATION IN GRAPHS AND APPLICATION

  • Unique Paper ID: 170018
  • Volume: 4
  • Issue: 10
  • PageNo: 482-484
  • Abstract:
  • Domination in graphs has applications to several fields. Domination arises in facility location problems, where the number of facilities (e.g., hospitals, fire stations) is fixed and one attempts to minimize the distance that a person needs to travel to get to the closest facility. A similar problem occurs when the maximum distance to a facility is fixed and one attempts to minimize the number of facilities necessary so that everyone is serviced. Concepts from domination also appear in problems involving finding sets of representatives, in monitoring communication or electrical networks, and in land surveying (e.g., minimizing the number of places a surveyor must stand in order to take height measurements for an entire region).

Cite This Article

  • ISSN: 2349-6002
  • Volume: 4
  • Issue: 10
  • PageNo: 482-484

A STUDY OF DOMINATION IN GRAPHS AND APPLICATION

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