Abstract
An Algol 60 program for determining the automorphism partitioning of an undirected unlabelled graph is presented. For graphs that do not contain strongly regular subgraphs, the time is at worstO(n 4) wheren is the number of vertices in the graph. The algorithm is based on the Corneil-Gotlieb conjecture.
Similar content being viewed by others
References
D. G. Corneil and C. C. Gotlieb,An efficient algorithm for graph isomorphism, J.A.C.M. 17,1 (Jan. 1970), 51–64.
D. G. Corneil,Graph Isomorphism, Ph. D. thesis, U. of Toronto, Canada (1968). Available as a Department of Computer Science Technical Report (1970).
E. Sussenguth, Jr.,A graph theoretical algorithm for matching chemical structures, J. Chem. Doc. 5,1 (Feb. 1965), 36–43.
S. H. Unger,GIT—a heuristic program for testing pairs of directed line graphs for isomorphism, Comm. A.C.M. 7,1 (Jan. 1964), 26–34.
C. Bohm, and A. Santolini,A quasi-decision algorithm for the p-equivalence of two matrices, ICC Bull. 3,1 (1964), 57–69.
J. W. Moon and L. Moser,On cliques in graphs, Israel. J. Math. 3 (March 1965), 23–28.
R. C. Bose,Strongly regular graphs, partial geometries and partially balanced design, Pacific J. Math. 13 (1963), 389–420.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Corneil, D.G. An algorithm for determining the automorphism partitioning of an undirected graph. BIT 12, 161–171 (1972). https://doi.org/10.1007/BF01932810
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01932810