Related Experiment Video
Updated: Apr 13, 2026

09:32
Stable DNA Motifs, 1D and 2D Nanostructures Constructed from Small Circular DNA Molecules
Published on: April 12, 2019
7.2K
On the dinucleotide circular codes of maximum cardinality
Theoretical Biology Forum
|May 5, 2015
Summary
Researchers determined the exact number of dinucleotide circular codes with maximum cardinality for any alphabet size. The study also characterizes the structural properties of these significant combinatorial objects.
Area of Science:
- Combinatorics
- Discrete Mathematics
- Theoretical Computer Science
Background:
- Dinucleotide circular codes are fundamental in understanding sequence constraints.
- Previous work established counts for a specific alphabet size (4).
Purpose of the Study:
- To generalize the counting of dinucleotide circular codes.
- To determine the exact number of such codes for any finite alphabet.
- To elucidate the structural characteristics of these codes.
Main Methods:
- Combinatorial analysis.
- Abstract algebraic methods.
- Enumeration techniques.
Main Results:
- The precise number of dinucleotide circular codes of maximum cardinality is determined for arbitrary finite alphabet sizes.
- A comprehensive description of the structure of these codes is provided.
Conclusions:
- This work provides a complete enumeration and structural characterization of dinucleotide circular codes.
- The findings offer a deeper understanding of combinatorial structures in theoretical computer science.
Related Concept Videos
The DNA Helix
63.1K
63.1K
The DNA Helix
31.8K
Deoxyribonucleic acid, or DNA, is the genetic material responsible for passing traits from generation to generation in all organisms and most viruses. DNA is composed of two strands of nucleotides that wind around each other to form a spring-like structure called a double helix. However, the double helix is not perfectly symmetrical. Instead, there are regularly occurring grooves in the structure. The major groove occurs where the sugar-phosphate backbones are relatively far apart. This space...
31.8K
The DNA Helix
163.2K
Overview
163.2K
From DNA to Protein
24.9K
The flow of genetic information in cells from DNA to mRNA to protein is described by the central dogma, which states that genes specify the sequence of mRNAs, which in turn specify the sequence of amino acids making up all proteins. The decoding of one molecule to another is performed by specific proteins and RNAs. Because the information stored in DNA is so central to cellular function, it makes intuitive sense that the cell would make mRNA copies of this information for protein synthesis...
24.9K
Nucleic Acids and Nucleotides
16.7K
Nucleic acids are the most important macromolecules for the continuity of life. They carry the cell's genetic blueprint and have instructions for its functioning. The two main types of nucleic acids are deoxyribonucleic acid (DNA) and ribonucleic acid (RNA).
Deoxyribonucleic Acid (DNA)
DNA is the genetic material in all living organisms, ranging from single-celled bacteria to multicellular mammals. It is in the nucleus of eukaryotes and the organelles such as chloroplasts and mitochondria....
Deoxyribonucleic Acid (DNA)
DNA is the genetic material in all living organisms, ranging from single-celled bacteria to multicellular mammals. It is in the nucleus of eukaryotes and the organelles such as chloroplasts and mitochondria....
16.7K
Maxam-Gilbert Sequencing
13.8K
In the same year as the discovery of the Sanger sequencing method, another group of scientists, Allan Maxam and Walter Gilbert, demonstrated their chemical-cleavage method for DNA sequencing. The Maxam-Gilbert method relies on using different chemicals that can cleave the DNA sequence at specific sites, the separation of resulting DNA fragments of variable size using electrophoresis, and deciphering the DNA sequence from the resulting gel bands.
Challenges of the Maxam-Gilbert Method
The...
Challenges of the Maxam-Gilbert Method
The...
13.8K

