Irredundancy in Multiple Interval Representations.

Abstract

In a multiple interval intersection representation of a graph it is required that at least one interval from each of a pair of adjacent vertices intersect. It is permitted for there to be several such intersections even though these additional intersections are superfluous or redundant. By disallowing such redundancies one arrives at the concept of an irredundant multiple interval representation. This document shows that these irredundant representations can be much more inefficient than representations which allow redundancies. Finally, it is shown that even when some redundancy is permitted, the inefficiency remains. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1984
Accession Number
ADA163310

Entities

People

  • Edward R. Scheinerman

Organizations

  • Johns Hopkins University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Construction
  • Continents
  • Contracts
  • Geographic Regions
  • Graph Theory
  • Intervals
  • Language
  • Maryland
  • Military Research
  • North America
  • Notation
  • Redundancy
  • Theses
  • United States
  • Universities

Fields of Study

  • Mathematics

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Graph Algorithms and Convex Optimization.