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Background  We previously developed the DBRF-MEGN ( d ifference- b ased  r egulation  f inding- m inimum  e quivalent  g ene  n etwork) method, which deduces the most parsimonious signed directed graphs (SDGs) consistent with expression profiles of single-gene deletion mutants. However, until the present study, we have not presented the details of the method's algorithm or a proof of the algorithm.    Results  We describe in detail the algorithm of the DBRF-MEGN method and prove that the algorithm deduces all of the exact solutions of the most parsimonious SDGs consistent with expression profiles of gene deletion mutants.    Conclusions  The DBRF-MEGN method provides all of the exact solutions of the most parsimonious SDGs consistent with expression profiles of gene deletion mutants.

A proof of the DBRF-MEGN method, an algorithm for deducing minimum equivalent gene networks