Search results
Results from the WOW.Com Content Network
Kaliningrad and the Konigsberg Bridge Problem at Convergence; Euler's original publication (in Latin) The Bridges of Königsberg; How the bridges of Königsberg help to understand the brain; Euler's Königsberg's Bridges Problem at Math Dept. Contra Costa College; Pregel – A Google graphing tool named after this problem; Present day Graph ...
First edition. Graph Theory, 1736–1936 is a book in the history of mathematics on graph theory.It focuses on the foundational documents of the field, beginning with the 1736 paper of Leonhard Euler on the Seven Bridges of Königsberg and ending with the first textbook on the subject, published in 1936 by Dénes Kőnig.
The Königsberg bridge problem is a mathematical challenge from the 18th century. [8] It asks to find a route that leads the walker across each of the seven historical bridges in the city of Königsberg such that each bridge is crossed exactly once.
In graph theory, an Eulerian trail (or Eulerian path) is a trail in a finite graph that visits every edge exactly once (allowing for revisiting vertices). Similarly, an Eulerian circuit or Eulerian cycle is an Eulerian trail that starts and ends on the same vertex .
A graph with 16 vertices and six bridges (highlighted in red) An undirected connected graph with no bridge edges. In graph theory, a bridge, isthmus, cut-edge, or cut arc is an edge of a graph whose deletion increases the graph's number of connected components. [1] Equivalently, an edge is a bridge if and only if it is not contained in any cycle.
Top: A failed attempt on a plane — the missed wall is indicated Bottom: A solution on a torus — the dotted line is on the back side of the torus Comparison of the graphs of the Seven bridges of Konigsberg (top) and Five-room puzzles (bottom).
The bridge problem inspired the Bristol Bridges Walk. Like Konigsberg Bristol spans the two banks of a river and two river islands. The Bristol Bridges walk is an Eulerian cycle crossing all 45 major bridges in the city. It has been the subject of the several articles in newspapers and magazines, and there is a book about the walk.
While not the most important of historical figures, Carl Gottlieb Ehler contributed to the correspondence of key mathematical figures, and their solutions continued the expansion of such mathematical fields like graph theory and number theory. [8]