In OODB, path expressions are usually used for navigating through complex objects and obtaining necessary information at the far end of a sequence of object references. Parallel forward pointer chasing algorithm (PFPC) and parallel backward pointer algorithm (PBPC) are natural algorithms for path expressions. If we change the implicit joins in the path expression into explicit joins, parallel join algorithms can also be employed for path expressions. In order to improve performance in distributed environment, semi-join operations replaces the join operations, which is called parallel cascade semi-join algorithm (PCSJ). This paper mainly describes and compares PFPC and PCSJ algorithms implemented on DSVM; then analyzes the performance of algorithms from test results according to a certain benchmark. We can see PCSJ has much better performance than PFPC by the results. These parallel algorithms exploit pipelining and I/O communication parallelism; make full use of DSVM characteristics. Some valuable ideas are obtained from the theory analysis and practical testing.