Abstract
AbstractLehman observed that star—delta and delta—star transformation cannot always be applied to networks with perfect (unfailing) vertices so as to exactly preserve reliability, and Rosenthal and Frisque introduced imperfect vertices to make exact delta—star transformations possible. We give an explicit condition that is satisfied if and only if a network with perfect vertices can be subjected to an exact star—delta or delta—star transformation, and we discuss the introduction of imperfect faces to make exact star—delta transformations possible. © 1993 by John Wiley & Sons, Inc.
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