  A detailed analysis of matches played in the sport of Snooker during the
period 1968-2020 is used to calculate a directed and weighted dominance network
based upon the corresponding results. We consider a ranking procedure based
upon the well-studied PageRank algorithm that incorporates details of not only
the number of wins a player has had over their career but also the quality of
opponent faced in these wins. Through this study we find that John Higgins is
the highest performing Snooker player of all time with Ronnie O'Sullivan
appearing in second place. We demonstrate how this approach can be applied
across a variety of temporal periods in each of which we may identify the
strongest player in the corresponding era. This procedure is then compared with
more classical ranking schemes. Furthermore, a visualization tool known as the
rank-clock is introduced to the sport which allows for immediate analysis of
the career trajectory of individual competitors. These results further
demonstrate the use of network science in the quantification of success within
the field of sport.
