Carl Hierholzer
Carl Hierholzer 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. In 1870 Hierholzer wrote his habilitation about conic sections in Karlsruhe, where he later became a Privatdozent.
Hierholzer proved that a connected graph has an Eulerian trail if and only if at most two of its vertices have an odd degree. This result had been given, with no proof of the 'if' part, by Leonhard Euler in 1736. Hierholzer apparently presented his work to a circle of fellow mathematicians not long before his premature death in 1871. A colleague then arranged for its posthumous publication in a paper that appeared in 1873.
