Radhakrishnan, Jaikumar (1997) Better lower bounds for monotone threshold formulas Journal of Computer and System Sciences, 54 (2). pp. 221-226. ISSN 0022-0000
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1006/jcss.1997.1287
Abstract
We show that every monotone formula that computes the threshold function THk, n, 2≤ , k≤n/2, has size at least ⌊k/2⌋ n log(n/(k−1)). The same lower bound is shown to hold in the stronger monotone directed contact networks model.
Item Type: | Article |
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Source: | Copyright of this article belongs to Elsevier Science. |
ID Code: | 57642 |
Deposited On: | 29 Aug 2011 08:36 |
Last Modified: | 29 Aug 2011 08:36 |
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