eulerian (Meaning)
eulerian (a.)
Pertaining to Euler, a German mathematician of the 18th century.
Synonyms & Antonyms of eulerian
No Synonyms and anytonyms found
eulerian Sentence Examples
- In mathematics, an Eulerian graph is a connected graph in which every vertex has an even degree, meaning each vertex has an even number of edges connected to it.
- The Königsberg bridge problem was the first problem of graph theory investigated, and it asks whether it is possible to walk through the seven bridges of Königsberg (now Kaliningrad, Russia) in such a way that each bridge is crossed exactly once.
- In 1736, Leonhard Euler discovered that it is not possible to solve this problem because the graph formed by the bridges of Königsberg is not Eulerian.
- Eulerian circuits and paths have important applications in various fields, including computer science, operations research, and telecommunications.
- In computer science, Eulerian circuits are used in algorithms for finding efficient routes in networks and solving various optimization problems.
- In operations research, Eulerian circuits are used in the design of vehicle routing problems, scheduling problems, and other combinatorial optimization problems.
- In telecommunications, Eulerian circuits are used in the design of efficient routing algorithms for packet-switched networks.
- In mathematics, Eulerian paths and circuits are studied in the context of graph theory, which is a branch of mathematics that deals with the properties of graphs.
- Eulerian paths and circuits are important objects in graph theory, and they have been extensively studied by mathematicians.
- Eulerian paths and circuits are used in various applications, such as finding efficient routes in networks and solving optimization problems.
FAQs About the word eulerian
Pertaining to Euler, a German mathematician of the 18th century.
No synonyms found.
No antonyms found.
In mathematics, an Eulerian graph is a connected graph in which every vertex has an even degree, meaning each vertex has an even number of edges connected to it.
The Königsberg bridge problem was the first problem of graph theory investigated, and it asks whether it is possible to walk through the seven bridges of Königsberg (now Kaliningrad, Russia) in such a way that each bridge is crossed exactly once.
In 1736, Leonhard Euler discovered that it is not possible to solve this problem because the graph formed by the bridges of Königsberg is not Eulerian.
Eulerian circuits and paths have important applications in various fields, including computer science, operations research, and telecommunications.
