Concerning the complexity of deciding isomorphism of block designs

Marlene J. Colbourn; Charles J. Colbourn

doi:10.1016/0166-218X(81)90012-3

Concerning the complexity of deciding isomorphism of block designs

Marlene J. Colbourn, Charles J. Colbourn

Computing, Informatics and Decision Systems Engineering, School of (CIDSE)

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

A construction is described to encode an arbitrary graph uniquely as a block design. This demonstrates that describing whether two block designs (without repeated blocks) are isomorphic is polynomial time equivalent to solving graph isomorphism. This result supplies evidence for the claim that isomorphism testing for block designs is a hard subcase of graph isomorphism.

Original language	English (US)
Pages (from-to)	155-162
Number of pages	8
Journal	Discrete Applied Mathematics
Volume	3
Issue number	3
DOIs	https://doi.org/10.1016/0166-218X(81)90012-3
State	Published - Jul 1981

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

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title = "Concerning the complexity of deciding isomorphism of block designs",

abstract = "A construction is described to encode an arbitrary graph uniquely as a block design. This demonstrates that describing whether two block designs (without repeated blocks) are isomorphic is polynomial time equivalent to solving graph isomorphism. This result supplies evidence for the claim that isomorphism testing for block designs is a hard subcase of graph isomorphism.",

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