Largest differencing method

In computer science, the largest differencing method is an algorithm for solving the partition problem and the multiway number partitioning. It is also called the Karmarkar–Karp algorithm after its inventors, Narendra Karmarkar and Richard M. Karp.[1] It is often abbreviated as LDM.[2][3]

  1. ^ Narendra Karmarkar and Richard M. Karp, "The differencing method of set partitioning", Tech report UCB/CSD 82/113, Computer science division, University of California, Berkeley, 1982
  2. ^ Michiels, Wil; Korst, Jan; Aarts, Emile (2003). "Performance ratios for the Karmarkar–Karp differencing method". Electronic Notes in Discrete Mathematics. 13: 71–75. CiteSeerX 10.1.1.107.1332. doi:10.1016/S1571-0653(04)00442-1.
  3. ^ Yakir, Benjamin (1996-02-01). "The Differencing Algorithm LDM for Partitioning: A Proof of a Conjecture of Karmarkar and Karp". Mathematics of Operations Research. 21 (1): 85–99. doi:10.1287/moor.21.1.85. ISSN 0364-765X.

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