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Omer Berkman

Possible papers associated with this exact author name in Arrow. This page groups case-insensitive exact name matches and is not a full identity disambiguation profile.

5 papers
1 author row

Possible papers

5

FOCS Conference 1990 Conference Paper

Some Triply-Logarithmic Parallel Algorithms (Extended Abstract)

  • Omer Berkman
  • Joseph F. JáJá
  • Sridhar Krishnamurthy
  • Ramakrishna Thurimella
  • Uzi Vishkin

It is established that several natural problems have triply logarithmic, or even faster, optimal parallel algorithms. These problems include: merging two sorted lists, where the values are drawn from a large, but restricted, domain on a CREW PRAM; finding all prefix minima, where the values are drawn from a restricted domain; and top-bottom global routing around a rectangle, a well-investigated problem in VLSI routing for which only highly involved serial algorithms were known. >

FOCS Conference 1989 Conference Paper

Recursive *-Tree Parallel Data-Structure (Extended Abstract)

  • Omer Berkman
  • Uzi Vishkin

The authors introduce a fundamentally novel parallel data structure, called recursive *-tree (star tree). For its definition, they use a generalization of this * functional and apply it to functions other than log. Using recursion in the spirit of the inverse-Akermann function, they derive recursive *-trees. The recursive *-tree data structure leads to a new design paradigm for parallel algorithms. The paradigm allows for unusually fast parallel computations that need only constant time, using an optimal number of processors under the assumption that a very small number of processors can write simultaneously, each into different bits of the same word. >