Leonhard Euler was one of math's most pioneering thinkers, establishing a career as an academy scholar and contributing greatly to the fields of geometry, trigonometry and calculus, among many others
The Konigsberg bridge has 7 bridges and has 4 odd nodes making it impossible to cross the bridges once so the network is not transferable
On August 26, 1735, Euler presents a paper containing the solution to the Konigsberg bridge problem. He addresses both this specific problem, as well as a general solution with any number of landmasses and any number of bridges. This paper, called ‘Solutio problematis ad geometriam situs pertinent is,’ was later published in 1741 [Hopkins, 2]. Euler’s paper is divided into twenty-one numbered paragraphs, and in what follows, a simplified version of Euler’s paragraphs will be presented.
information from: https://www.maa.org/press/periodicals/convergence/leonard-eulers-solution-to-the-konigsberg-bridge-problem
what is a node:
A node or a vertex of a network is one of the objects that are connected together. The connections between the nodes are called edges or links. A network with 10 nodes or a vertices and 11 edges (or links.
is the Konigsberg bridge transferable on its network:
The Konigsberg Bridges are not transferable only a even number of bridges can give you the right results.
My Question:
Why are there only 7 bridges and why is it so important?
Nice information provided that really helped me understand how to know if a network is transferable.
ReplyDeleteGood set up and information provided, good work.
ReplyDeleteThis is good research but you need more information for how a network is tranferrable.
ReplyDeleteHow is a network transferable would be useful information but, other then that it's good.
ReplyDeletelooks good good job
ReplyDeleteNice work bro
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