We introduce a time- and space-efficient technique to solve regularpath queries over labeled graphs. We combine a bit-parallel simula-tion of the Glushkov automaton of the regular expression with thering index introduced by Arroyuelo et al., exploiting its wavelettree representation of the triples in order to efficiently reach thestates of the product graph that are relevant for the query. Ourquery algorithm is able to simultaneously process several automa-ton states, as well as several graph nodes/labels. Our experimentalresults show that our representation uses 3-5 times less space thanthe alternatives in the literature, while generally outperformingthem in query times (1.67 times faster than the next best).