Научно-образовательные статьи
THE KÖNIGSBERG BRIDGES PROBLEM
Опубликован 03.04.2025
Ключевые слова
- Graph Theory,
- Eulerian Path,
- Eulerian Circuit,
- Königsberg,
- Topology
- Combinatorics,
- Network Optimization ...Больше
Как цитировать
J. Gochmyradov, & B. Pudakov. (2025). THE KÖNIGSBERG BRIDGES PROBLEM. ОБРАЗОВАНИЕ И НАУКА В XXI ВЕКЕ, 60-1 (том 1). https://mpcareer-google.ru/index.php/journal/article/view/1346
Аннотация
The Königsberg Bridges Problem is a historical mathematical puzzle that laid the foundation for graph theory. Originally posed in the 18th century, it questioned the possibility of crossing all seven bridges of Königsberg exactly once without retracing any path. The renowned mathematician Leonhard Euler proved that such a path was impossible, introducing key concepts like Eulerian paths and circuits. This paper explores the historical context, mathematical formulation, Euler’s solution, and its impact on modern graph theory, topology, and optimization problems.
Библиографические ссылки
- Euler, L. (1736). Solutio problematis ad geometriam situs pertinentis. St. Petersburg Academy.
- Biggs, N., Lloyd, E., & Wilson, R. (1998). Graph Theory, 1736-1936. Oxford University Press.
- Diestel, R. (2017). Graph Theory. Springer.
- West, D. B. (2001). Introduction to Graph Theory. Prentice Hall.
- Bondy, J. A., & Murty, U. S. R. (2008). Graph Theory. Springer.