Accession Number:

AD0689120

Title:

LOCATING ABSOLUTE 2-CENTERS OF UNDIRECTED GRAPHS.

Descriptive Note:

Master's thesis,

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s):

Report Date:

1968-12-01

Pagination or Media Count:

41.0

Abstract:

The study analyzes the location of vertex and absolute 2-centers of an undirected graph. Under certain assumptions, these locations would be useful for determining the optimal positioning of emergency facilities such as fire stations. Vertex and absolute multi-centers are defined, and a procedure for locating the vertex multi-centers is given. It is shown that certain combinations of arcs and vertices never contain absolute 2-centers, while certain others will always contain a 2-center which is more centrally located than the vertex 2-center. Although no algorithm was found for determining the absolute 2-center of a graph, an algorithm is presented for finding the best 2-centers which exist on arcs incident to the vertex 2-center. Author

Subject Categories:

  • Theoretical Mathematics
  • Operations Research
  • Logistics, Military Facilities and Supplies

Distribution Statement:

APPROVED FOR PUBLIC RELEASE