“Solutio problematis ad geometriam situs pertinentis”

E467733

“Solutio problematis ad geometriam situs pertinentis” is Leonhard Euler’s 1736 Latin paper that founded graph theory and topology by solving the Seven Bridges of Königsberg problem.

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Predicate Object
instanceOf Latin-language work ⓘ
mathematics paper ⓘ
scientific paper ⓘ
author Leonhard Euler ⓘ
authorName Leonhard Euler ⓘ
authorNationality Swiss ⓘ
contribution early work in the geometry of position (geometria situs) ⓘ
formulated conditions for the existence of an Eulerian trail ⓘ
introduced the concept of degree of a vertex in a graph-like structure ⓘ
treated a city map as an abstract network of vertices and edges ⓘ
fieldOfWork discrete mathematics ⓘ
mathematics ⓘ
hasAuthor Leonhard Euler ⓘ
hasKeyConcept Eulerian circuit ⓘ
Eulerian trail ⓘ
graph as an abstract network ⓘ
vertex degree ⓘ
historicalSignificance considered a foundational work in topology ⓘ
considered the first paper in graph theory ⓘ
influenced development of modern graph theory ⓘ
development of modern topology ⓘ
study of networks in mathematics ⓘ
mainSubject Seven Bridges of Königsberg ⓘ
geometry of position ⓘ
graph theory ⓘ
topology ⓘ
mathematicalTopic Eulerian path problem ⓘ
bridges problem ⓘ
method abstraction of landmasses to vertices and bridges to edges ⓘ
notableFor founding graph theory ⓘ
founding topology ⓘ
solution of the Seven Bridges of Königsberg problem ⓘ
originalTitle Solutio problematis ad geometriam situs pertinentis ⓘ
problemSolved Seven Bridges of Königsberg ⓘ
publicationCentury 18th century ⓘ
publicationYear 1736 ⓘ
relatedPlace Königsberg ⓘ
relatedRiver Pregel River ⓘ
result proved that a walk crossing each bridge of Königsberg exactly once is impossible ⓘ
titleLanguage Latin ⓘ
translatedTitle Solution of a problem relating to the geometry of position ⓘ

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Seven Bridges of Königsberg problem → publishedIn → “Solutio problematis ad geometriam situs pertinentis” ⓘ