Relations between energy complexity measures of Boolean networks and positive sensitivity of Boolean functions
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Mikhail A. Mestetskiy
and
Mikhail S. Shupletsov
Abstract
We study relationships between lower estimates for the energy complexity E(Σ), the switching complexity S(Σ) of a normalized Boolean network Σ, and the positive sensitivity ps(f) of the Boolean function f implemented by this circuit. The lower estimate
Originally published in Diskretnaya Matematika (2023) 35, №1, 71–81 (in Russian).
References
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Articles in the same Issue
- Frontmatter
- On large deviations of the moment of attaining far level by the random walk in a random environment
- Asymptotic local lower deviations of strictly supercritical branching process in a random environment with geometric distributions of descendants
- Cloning operations and graph diameter
- Relations between energy complexity measures of Boolean networks and positive sensitivity of Boolean functions
- On the maximal size of tree in a random forest
- Deciding multiaffinity of polynomials over a finite field
- Probability that given vertices belong to the same connected component of random equiprobable mapping
Articles in the same Issue
- Frontmatter
- On large deviations of the moment of attaining far level by the random walk in a random environment
- Asymptotic local lower deviations of strictly supercritical branching process in a random environment with geometric distributions of descendants
- Cloning operations and graph diameter
- Relations between energy complexity measures of Boolean networks and positive sensitivity of Boolean functions
- On the maximal size of tree in a random forest
- Deciding multiaffinity of polynomials over a finite field
- Probability that given vertices belong to the same connected component of random equiprobable mapping
