An implementation of a distributed algorithm for detection of local knots and cycles in directed graphs based on the CSP model and Java

Abstract

Cycles and knots in directed graphs are problems that can be associated with deadlocks in database and communication systems. Many algorithms to detect cycles and knots in directed graphs were proposed. Boukerche and Tropper (1998) have proposed a distributed algorithm that solves the problem in a efficient away. Their algorithm has a message complexity of 2 m vs. (at least) 4 m for the Chandy and Misra algorithm, where m is the number of links in the graph, and requires O (n log n) bits of memory, where n is the number of nodes. We have implemented Boukerche and Tropper's algorithm according to the construction of processes of the CSP model. Our implementation was done using JCSP, an implementation of CSP for Java, and the results are presented.