Title: Linear Time Algorithm to Find a Minimal Deadlock in a Strongly Connected Free-Choice Net Author: Peter Kemper Abstract: This paper presents an improved algorithm, which finds a minimal deadlock containing a given place p in a strongly connected Free-Choice net (FC-net). Its worst case time complexity is linear in the size of the net. The interest in finding such deadlocks arises from recognising structurally live and bounded FC-nets (LBFC-nets), where finding structural deadlocks efficiently is crucial for the algorithm's time complexity. Employing this new algorithm LBFC-nets can be recognised in $O(|P|^2|T|)$, which is an improvement by one order of magnitude. Furthermore this marks a lower limit for the complexity of algorithms based on the rank theorem as long as the computation of a matrix rank requires O($n^3$). Published in: Application and Theory of Petri Nets 1993 14th int. Conf. Chicago, USA Springer Lecture Notes in Computer Science 691