ALGEBRAIC ISOMORPHISM INVARIANTS FOR TRANSITION GRAPHS.

Abstract

Transition graphs, which correspond to partial transformations on a finite set, are studied from an algebraic point of view in terms of a 'natural' representation of the graphs by linear transformations, the representation being natural in the sense that its matrix equivalent coincides with the usual representation of graphs by 'adjacency matrices.' Under this representation, the classical invariants of linear transformation similarity become invariants of graphical isomorphism and the principal objective of the investigation is to determine the extent to which these algebraic invariants specify the structure (isomorphism class) of an arbitrary transition graph. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1968
Accession Number
AD0679596

Entities

People

  • John Frederick Meyer

Organizations

  • University of Michigan

Tags

DTIC Thesaurus Topics

  • Transitions

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.