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 simple conjectures and proofs to abstract ideas. Of these, some ready elaborated while others are only rudimentary available. 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 experimental number theory 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)

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)


since 30.04.2015

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Last update on July 11, 2017.