Digraph: meaning, definitions and examples
๐
digraph
[ หdaษชหษกrษหf ]
data structure
A digraph, or directed graph, is a set of vertices connected by edges where the edges have a direction. This means that each edge in a digraph goes from one vertex to another and does not necessarily allow traversal in both directions. Digraphs are often used in computer science to represent structures such as networks, flowcharts, and state diagrams.
Synonyms
arrow graph, directed graph.
Examples of usage
- The web can be represented as a digraph with pages as vertices.
- In a digraph, an edge from A to B implies a one-way connection.
- Route maps can be analyzed using digraphs to find possible paths.
Translations
Translations of the word "digraph" in other languages:
๐ต๐น digrafo
๐ฎ๐ณ เคกเคพเคฏเคเฅเคฐเคพเคฎ
๐ฉ๐ช Digraph
๐ฎ๐ฉ digraf
๐บ๐ฆ ะดะธะณัะฐั
๐ต๐ฑ digraf
๐ฏ๐ต ๆๅใฐใฉใ
๐ซ๐ท digraphe
๐ช๐ธ digrafo
๐น๐ท diyagram
๐ฐ๐ท ์ ํฅ ๊ทธ๋ํ
๐ธ๐ฆ ุฑุณู ุจูุงูู ู ูุฌู
๐จ๐ฟ digrรกf
๐ธ๐ฐ digrรกf
๐จ๐ณ ๆๅๅพ
๐ธ๐ฎ usmerjeni graf
๐ฎ๐ธ stefnugrafur
๐ฐ๐ฟ ะฑะฐาัััะฐะปาะฐะฝ ะณัะฐัะธะบ
๐ฌ๐ช แแแแแ แแฃแแแแฃแแ แแ แแคแ
๐ฆ๐ฟ yรถnlรผ qraf
๐ฒ๐ฝ digrafo
Etymology
The term 'digraph' originates from the combination of two Greek words: 'di-' meaning 'two', and 'graph' meaning 'to write' or 'to draw'. It refers to the two-part relationship of the vertices and directed edges in a graph. The concept of digraphs emerged in the field of graph theory, which began developing in the 18th century with mathematicians such as Leonhard Euler. Euler's work on the Seven Bridges of Kรถnigsberg laid the groundwork for many of the principles that govern graph theory today, including the notions of paths and connectivity, which are crucial in understanding digraphs. As the field expanded, particularly in the 20th century with advances in computer science and network theory, the utility of digraphs in modeling systems with directional relationships became increasingly significant, paving the way for their adoption in various applications including database management, computer network design, and artificial intelligence.