A Note on the Seven Bridges of Königsberg Problem
Adam Naumowicz
Formalized Mathematics, Tome 22 (2014), p. 177-178 / Harvested from The Polish Digital Mathematics Library

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/.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:268696
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     author = {Adam Naumowicz},
     title = {A Note on the Seven Bridges of K\"onigsberg Problem},
     journal = {Formalized Mathematics},
     volume = {22},
     year = {2014},
     pages = {177-178},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_forma-2014-0018}
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Adam Naumowicz. A Note on the Seven Bridges of Königsberg Problem. Formalized Mathematics, Tome 22 (2014) pp. 177-178. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_forma-2014-0018/

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