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Undergraduate
By
John Doe
on Nov. 3, 2012 | Updated Dec. 6, 2017
Direct reduction from Graph Homomorphism to SAT
The decision problem \(GraphHomo\) is defined as follows: \(GraphHomo = \{\langle G, H\rangle \mid \text{there is a graph homomorphism from G to H}\}\) Give a direct reduction from \(GraphHomo\) to …
Computer Science
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np
reduction
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Graduate
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Shiva Kintali
on June 10, 2012 | Updated Dec. 6, 2017
Parity is non-monotone
A boolean function \(f(x_{1},x_{2},\dots,x_{n})\) is called monotone if it can be written as a formula with only the AND and OR operations. Prove that \(x_1 \oplus x_2 \oplus \dots \oplus x_n\) is n…
Mathematics
Logic
monotone function
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Graduate
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diego
on June 22, 2012 | Updated Dec. 6, 2017
The power of the majority function
A boolean function \(f(x_{1},x_{2},\dots,x_{n})\) is called monotone if it can be written as a formula with only the AND and OR operations and constants 0 and 1; and it is called self-dual if …
Mathematics
Logic
monotone function
self dual function
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