Combinatorial characterization of read-once formulae

M. Karchmer; N. Linial; I. Newman; M. Saks; A. Wigderson

doi:10.1016/0012-365X(93)90372-Z

Combinatorial characterization of read-once formulae

M. Karchmer, N. Linial, I. Newman^*, M. Saks, A. Wigderson

^*Corresponding author for this work

The Rachel and Selim Benin School of Engineering and Computer Science

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

Abstract

We give an alternative proof to a characterization theorem of Gurvich for Boolean functions whose formula size is exactly the number of variables. These functions are called read-once functions. We use methods of combinatorial optimization and give, as a corollary, an alternative proof for some results of Seymour (1976, 1977).

Original language	English
Pages (from-to)	275-282
Number of pages	8
Journal	Discrete Mathematics
Volume	114
Issue number	1-3
DOIs	https://doi.org/10.1016/0012-365X(93)90372-Z
State	Published - 28 Apr 1993

Bibliographical note

Funding Information:
Correspondence to: I. Newman, Department of Mathematics and Computer Science, University of Haifa, Haifa 3 1905, Israel. *Supported in part by NSF grant DMS870354oeI and Air Force Office of Scientific Research grant AFOSR-0271.

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10.1016/0012-365X(93)90372-Z

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abstract = "We give an alternative proof to a characterization theorem of Gurvich for Boolean functions whose formula size is exactly the number of variables. These functions are called read-once functions. We use methods of combinatorial optimization and give, as a corollary, an alternative proof for some results of Seymour (1976, 1977).",

author = "M. Karchmer and N. Linial and I. Newman and M. Saks and A. Wigderson",

note = "Funding Information: Correspondence to: I. Newman, Department of Mathematics and Computer Science, University of Haifa, Haifa 3 1905, Israel. *Supported in part by NSF grant DMS870354oeI and Air Force Office of Scientific Research grant AFOSR-0271.",

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AU - Saks, M.

AU - Wigderson, A.

N1 - Funding Information: Correspondence to: I. Newman, Department of Mathematics and Computer Science, University of Haifa, Haifa 3 1905, Israel. *Supported in part by NSF grant DMS870354oeI and Air Force Office of Scientific Research grant AFOSR-0271.

PY - 1993/4/28

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N2 - We give an alternative proof to a characterization theorem of Gurvich for Boolean functions whose formula size is exactly the number of variables. These functions are called read-once functions. We use methods of combinatorial optimization and give, as a corollary, an alternative proof for some results of Seymour (1976, 1977).

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Combinatorial characterization of read-once formulae

Abstract

Bibliographical note

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