Enumeration of Large Combinatorial Structures.

Abstract

Two methods are described to determine exact formulae for the number of labelled connected graphs on n points and n+k edges for general n and different values of k. One method supplies an essential piece of information for general k; given this, the other is much more efficient and is well-adapted to machine computation. The first method is extended to several other problems but has to replace the second by a different method for each problem. According to Temperley, at least two of the problems are of physical interest. In addition three problems were solved about the properties and the evolution of almost all large graphs. The appendices consist of six research papers, of these one contains computer results connected with these problems.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1976
Accession Number
ADA035777

Entities

People

  • E. M. Wright

Organizations

  • University of Aberdeen

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Asymptotic Series
  • Coefficients
  • Computational Science
  • Computations
  • Computer Programs
  • Computer Science
  • Computers
  • Equations
  • Graph Theory
  • Integrals
  • New York
  • Personal Information Managers
  • Polynomials
  • Power Series
  • Probability
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Aerospace Test and Evaluation
  • Computational Modeling and Simulation
  • Graph Algorithms and Convex Optimization.