<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we account for the formalization of the seven bridges of Königsberg puzzle. The problem originally posed and solved by Euler in 1735 is historically notable for having laid the foundations of graph theory, cf. [7]. Our formalization utilizes a simple set-theoretical graph representation with four distinct sets for the graph’s vertices and another seven sets that represent the edges (bridges). The work appends the article by Nakamura and Rudnicki [10] by introducing the classic example of a graph that does not contain an Eulerian path.</p><p>This theorem is item #54 from the “Formalizing 100 Theorems” list maintained by Freek Wiedijk at http://www.cs.ru.nl/F.Wiedijk/100/.</p></abstract>

In this paper we account for the formalization of the seven bridges of Königsberg puzzle. The problem originally posed and solved by Euler in 1735 is historically notable for having laid the foundations of graph theory, cf. [7]. Our formalization utilizes a simple set-theoretical graph representation with four distinct sets for the graph’s vertices and another seven sets that represent the edges (bridges). The work appends the article by Nakamura and Rudnicki [10] by introducing the classic example of a graph that does not contain an Eulerian path.This theorem is item #54 from the “Formalizing 100 Theorems” list maintained by Freek Wiedijk at http://www.cs.ru.nl/F.Wiedijk/100/.

A Note on the Seven Bridges of Königsberg Problem

Institute of Informatics University of Białystok Sosnowa 64, 15-887 Białystok Poland

Formalized Mathematics

This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License. (CC BY-SA 3.0)

{"article-title":"A Note on the Seven Bridges of Königsberg Problem"}

In this paper we account for the formalization of the seven bridges of Königsberg puzzle. The problem originally posed and solved by Euler in 1735 is...

A Note on the Seven Bridges of Königsberg Problem

Pubblicato online: 30 giu 2014

Pagine: 177 - 178

DOI: https://doi.org/10.2478/forma-2014-0018

Parole chiave
Eulerian paths, Eulerian cycles, Königsberg bridges problem

© 2014 Adam Naumowicz

This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License. (CC BY-SA 3.0)

A Note on the Seven Bridges of Königsberg Problem

Pubblicato online: 30 giu 2014

Pagine: 177 - 178

DOI: https://doi.org/10.2478/forma-2014-0018

Parole chiaveEulerian paths, Eulerian cycles, Königsberg bridges problem

© 2014 Adam Naumowicz

This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License. (CC BY-SA 3.0)

Parole chiave
Eulerian paths, Eulerian cycles, Königsberg bridges problem