LOCATING ABSOLUTE 2-CENTERS OF UNDIRECTED GRAPHS.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1968
- Accession Number
- AD0689120
Entities
People
- Clarke Mckinley Gillespie Jr
Organizations
- Naval Postgraduate School