REGULAR LINE SYMMETRIC GRAPHS,

Abstract

An investigation is made of the extent to which line symmetry and regularity imply point symmetry. First, some conditions are given on the number of vertices and the degree of regularity under which line symmetry and regularity imply point symmetry; then, general methods for constructing graphs that are line symmetric, and finally, a summary of what is known about the number of vertices that a regular line symmetric graph that is not point symmetric can have. The memorandum concludes with a list of unsolved problems in this area. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1966
Accession Number
AD0629605

Entities

People

  • Jon Folkman

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Symmetry

Readers

  • Graph Algorithms and Convex Optimization.
  • Theoretical Analysis.