TY - RPRT
A1 - Sultanow, Eldar
A1 - Koch, Christian
A1 - Cox, Sean
T1 - Collatz Sequences in the Light of Graph Theory
N2 - The Collatz conjecture is a number theoretical problem, which has puzzled countless researchers using myriad approaches. Presently, there are scarcely any methodologies to describe and treat the problem from the perspective of the Algebraic Theory of Automata. Such an approach is promising with respect to facilitating the comprehension of the Collatz sequenceâ€™s "mechanics". The systematic technique of a state machine is both simpler and can fully be described by the use of algebraic means.
The current gap in research forms the motivation behind the present contribution. The present authors are convinced that exploring the Collatz conjecture in an algebraic manner, relying on findings and fundamentals of Graph Theory and Automata Theory, will simplify the problem as a whole.
KW - Collatz
KW - Cayley Graph
KW - Free Group
KW - Reachability
Y1 - 2019
UR - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/43741
UR - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus4-437416
ER -