The Circular Dimension of a Graph,

Abstract

The circular dimension of a graph G is defined as the smallest integer m such that G has an m-arc intersection model. A graph is complete partite if its vertices can be partitioned into disjoint classes so that any two vertices from the same class are nonadjacent, while any two vertices from different classes are adjacent. In this paper the author indicates that the maximum circular dimension of any complete partite graph having n vertices is the largest integer p such that (2 sup p) + p = or < n + 1. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1970
Accession Number
AD0721267

Entities

People

  • Robert B. Feinberg

Organizations

  • RAND Corporation

Tags

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.