Eigenvectors of Graphs.

Abstract

This work considered the rows of an eigenmatrix of a distance-regular graph as coordinates of points in space. Geometric and algebraic properties and relations for these points are found that correspond to graph-theoretic properties of the corresponding vertices. Some properties and relations considered are automorphisms, proximity, linear dependence and independence, and facets of the convex hull. Keywords: Theorems; Polytopes. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1987
Accession Number
ADA185538

Entities

Organizations

  • Clarkson University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algebra
  • Computations
  • Computer Science
  • Computers
  • Eigenvalues
  • Eigenvectors
  • Graph Theory
  • Linear Algebra
  • Mathematical Analysis
  • Mathematics
  • Matrix Theory
  • New York
  • Permutations
  • Theorems
  • Universities

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space