Carl Hierholzer

Carl Hierholzer (born October 2, 1840 in Freiburg im Breisgau , † September 13, 1871 in Karlsruhe ) was a German mathematician .

Life

Hierholzer studied mathematics at the Polytechnic in Karlsruhe , where he joined the Teutonia fraternity . He received his doctorate on March 8, 1865 in Heidelberg with Otto Hesse (1811–1874) , who came from Königsberg and the Königsberg mathematical school . He completed his habilitation in 1870 at the Polytechnic with the habilitation thesis Ueber Kegelschnitte im Raum , which was also published in the Mathematische Annalen , and was then a private lecturer at the Polytechnic.

Posthumously, the work On the possibility of avoiding a line train without repetition and without interruption appeared , which was written down from memory by Christian Wiener with the help of Jacob Lüroth in Karlsruhe in December 1871 and published in 1873. In it the Euler-Hierholzer theorem is proven. It is considered to be the first complete characterization of the Eulerian and Semieulerian graphs in graph theory . The algorithm named after him, the Hierholzer algorithm, is based on this , with which one can determine an Euler circle or an Euler path in an Euler or Semieuler undirected graph .

Fonts

• C. Hierholzer: About conic sections in space . Habilitation thesis to obtain the venia docendi at the Grand Ducal Polytechnic in Karlsruhe. Mathematische Annalen II (1870), 564-586. [1] doi: 10.1007 / BF01444042
• C. Hierholzer: About a surface of the fourth order . Mathematische Annalen IV (1871), 172-180. [2] doi: 10.1007 / BF01442590
• C. Hierholzer: About the possibility of circumnavigating a line without repetition and without interruption . Mathematische Annalen VI (1873), 30–32. [3]

Individual evidence

1. ↑ List of doctorates at Heidelberg University, serial no. 12 ( Memento of the original dated February 2, 2012 in the Internet Archive ) Info: The archive link has been inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. 

Web links

• Selected chapters from graph theory (PDF file; 676 kB)

swell

• Georg Kirschner: Directory of members of the Karlsruhe Burschenschaft Teutonia . 1966.
• JC Poggendorff : Biographical-literary concise dictionary for the history of the exact sciences . Vol. 2. A-L. Leipzig, 1863.