Adleman wrote the first paper in which it is shown that deoxyribonucleic acid (DNA) strands could be employed towards calculating solutions to an instance of the NP-complete Hamiltonian path problem (HPP). Lipton also demonstrated that Adleman's techniques could be used to solve the NP-complete satisfiability (SAT) problem (the first NP-complete problem). In this paper, it is proved how the DNA...

Recently, Boneh, Dunworth, and Lipton (1996) described the potential use of molecular computation in attacking the United States Data Encryption Standard (DES). Here, we provide a description of such an attack using the sticker model of molecular computation. Our analysis suggests that such an attack might be mounted on a tabletop machine using approximately a gram of DNA and might succeed even...

The extraction of DNA strands including a given sequence of bases is a crucial step in the Adleman-Lipton extract model of DNA computing. In this paper, a special type of PCR is presented with a related algorithm which performs a specified extraction from a given pool of DNA double stranded (shortly dsDNA) molecules. This kind of PCR, called Cross Pairing PCR (shortly XPCR) was tested in severa...

This paper shows how to use DNA strands to construct solution space of molecules for the dominating-set problem and how to apply biological operations to solve the problem from the solution space of molecules. In order to achieve this, we have proposed some DNA based parallel algorithms using the operations in Adleman–Lipton model, together with the analysis of the computational complexity for ...

9 Adleman wrote the first paper in which it is shown that deoxyribonucleic acid (DNA) strands could be employed towards calculating solutions to an instance of the NP-complete Hamiltonian path problem (HPP). Lipton also demonstrated that Adleman’s techniques could be used to solve the NP-complete satisfiability (SAT) problem (the first NP-complete problem). In this paper, it is proved how the D...

Let N ≥ 2 and let 1 < a1 < · · · < aN be relatively prime integers. Frobenius number of this N-tuple is defined to be the largest positive integer that cannot be expressed as ∑ N i=1 aixi where x1, ..., xN are non-negative integers. The condition that gcd(a1, ..., aN ) = 1 implies that such number exists. The general problem of determining the Frobenius number given N and a1, ..., aN is NP-hard...

In this paper we consider the complexity of learning monotone DNF formulae and Boolean circuits in an exact learning model called the teaching assistant model. This model, introduced in one of our earlier works, uses teaching assistant classes for classifying learning problems. Teaching assistant classes are a learning-theoretic analog of complexity classes. We show that monotone DNFs are learn...

Mrs. Adelman, a woman in her late fifties suffered from a visual disorder called age-related macular degeneration, also commonly known as AMD. AMD occurs when the macula, a small spot near the center of the retina and the part of the eye needed for sharp vision, deteriorates overtime due to age [1]. Once Mrs. Adelman was diagnosed with the disorder, her and her husband, immediately began to do ...