An improved master theorem for divide-and-conquer recurrences

  • Salvador Roura
Session 11: Analysis of Algorithms
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1256)


We present a new master theorem for the study of divide-and-conquer recursive definitions, which improves the old one in several aspects. In particular, it provides more information, frees us completely from technicalities like floors and ceilings, and covers a wider set of toll functions and weight distributions, stochastic recurrences included.


Shape Function Asymptotic Expression Multiplicative Factor Main Term Recursive Call 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Salvador Roura
    • 1
  1. 1.Departament de Llenguatges i Sistemes InformàticsUniversitat Politècnica de CatalunyaBarcelonaSpain

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