“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.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| Solutio problematis ad geometriam situs pertinentis | 0 |
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
Latin-language work
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mathematics paper ⓘ scientific paper ⓘ |
| author | Leonhard Euler NERFINISHED ⓘ |
| authorName | Leonhard Euler NERFINISHED ⓘ |
| 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 NERFINISHED ⓘ |
| hasKeyConcept |
Eulerian circuit
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Eulerian trail ⓘ graph as an abstract network ⓘ vertex degree ⓘ |
| historicalSignificance |
considered a foundational work in topology
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considered the first paper in graph theory ⓘ |
| influenced |
development of modern graph theory
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development of modern topology ⓘ study of networks in mathematics ⓘ |
| mainSubject |
Seven Bridges of Königsberg
NERFINISHED
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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
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founding topology ⓘ solution of the Seven Bridges of Königsberg problem ⓘ |
| originalTitle | Solutio problematis ad geometriam situs pertinentis ⓘ |
| problemSolved | Seven Bridges of Königsberg NERFINISHED ⓘ |
| publicationCentury | 18th century ⓘ |
| publicationYear | 1736 ⓘ |
| relatedPlace | Königsberg NERFINISHED ⓘ |
| relatedRiver | Pregel River NERFINISHED ⓘ |
| 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 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
Seven Bridges of Königsberg problem
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publishedIn
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“Solutio problematis ad geometriam situs pertinentis”
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