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  Some Remarks on Boolean Sums

Mehlhorn, K. (1979). Some Remarks on Boolean Sums. Acta Informatica, 12, 371-375.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-AF87-1 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-AF88-0
Genre: Journal Article

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Mehlhorn, Kurt1, Author           
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1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: Summary  Neciporuk, Lamagna/Savage and Tarjan determined the monotone network complexity of a set of Boolean sums if any two sums have at most one variable in common. Wegener then solved the case that any two sums have at most k variables in common. We extend his methods and results and consider the case that any set of h +1 distinct sums have at most k variables in common. We use our general results to explicitly construct a set of n Boolean sums over n variables whose monotone complexity is of order n 5/3. The best previously known bound was of order n 3/2. Related results were obtained independently by Pippenger. This paper was presented at the MFCS 79 Symposium, Olomouc, Sept. 79

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Language(s): eng - English
 Dates: 2007-01-051979
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: eDoc: 344675
Other: Local-ID: C1256428004B93B8-E1DE71087E352B48C12571C300168CA5-mehlhorn79j
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Title: Acta Informatica
Source Genre: Journal
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Pages: - Volume / Issue: 12 Sequence Number: - Start / End Page: 371 - 375 Identifier: -