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Carl Hierholzer
German mathematician

Carl Hierholzer

Carl Hierholzer
The basics

Quick Facts

Intro German mathematician
Was Mathematician
From Germany
Field Mathematics
Gender male
Birth 2 October 1840, Freiburg im Breisgau
Death 13 September 1871, Karlsruhe (aged 30 years)
The details (from wikipedia)

Biography

Carl Hierholzer (October 2, 1840 – September 13, 1871) was a German mathematician.

Biography

Hierholzer studied mathematics in Karlsruhe, and he got his Ph.D. from Ruprecht-Karls-Universität Heidelberg in 1865. His Ph.D. advisor was Ludwig Otto Hesse (1811–1874). In 1870 Hierholzer wrote his habilitation about conic sections (title: Ueber Kegelschnitte im Raum) in Karlsruhe, where he later became professor.

Hierholzer proved that a graph has an Eulerian cycle if and only if it is connected and every vertex has an even degree (excluding the starting and terminal vertices). This result had been given, without proof, by Leonhard Euler in 1736. Hierholzer apparently explained his proof, just before his premature death in 1871, to a colleague who then arranged for its posthumous publication which appeared in 1873.

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