Welcome to my mathematical world!

On this website I present some of my work, thoughts and ideas on selected topics in mathematics. These range from conjectures over abstract ideas to rigorous proofs. All my work is common that I always try to create something new, to think in a new direction. My main fields of research are number theory, combinatorics and graph theory. If a problem has grabbed me, I worked on it over many years. Some texts on this site are just available in German. If you have any questions, please send me an email.

In the hope to enrich the mathematical world a little bit, enjoy reading and exploring.

Mike Winkler


NEW: On the existence of 4-regular matchstick graphs (arXiv 1705.00293 link), under review by Journal of Graph Theory

NEW: A catalogue of 4-regular and (2, 4)-regular matchstick graphs (arXiv 1705.04715 link)

NEW: Matchstick Graphs Calculator (MGC) - a software for the construction and calculation of matchstick graphs (program link)

NEW: New minimal (4; n)-regular matchstick graphs, published by Geombinatorics, Vol. XXVII Issue 1, 2017, pp. 26-44

NEW: The algorithmic structure of the finite stopping time behavior of the 3x + 1 function (arXiv 1709.03385 PDF link), under review


since 30.04.2015

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Last update on January 1, 2018.