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A modification of Warshall's algorithm for the transitive closure of binary relations

Henry S. Warren

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Abstract

An algorithm is given for computing the transitive closure of a binary relation that is represented by a Boolean matrix. The algorithm is similar to Warshall's although it executes faster for sparse matrices on most computers, particularly in a paging environment.

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An algorithm is given for computing the transitive closure of a binary relation that is represented by a Boolean matrix. The algorithm is similar to Warshall's although it executes faster for sparse matrices on most computers, particularly in a paging environment.

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Available abstract

An algorithm is given for computing the transitive closure of a binary relation that is represented by a Boolean matrix. The algorithm is similar to Warshall's although it executes faster for sparse matrices on most computers, particularly in a paging environment.

Key concepts: Transitive closure, Logical matrix, Closure (psychology), Computer science, Floyd–Warshall algorithm, Algorithm, Binary relation, Transitive reduction

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