Efficient Algorithms for-Disjoint Paths Problems on DAGs

Rudolf Fleischer, Qi Ge, Jian Li, Hong Zhu

Abstract: Given an acyclic directed graph and two distinct nodes s and t, we consider the problem of finding k disjoint paths from s to t satisfying some objective. We consider four objectives, MinMax, Balanced, MinSum-MinMin and MinSum-MinMax. We use the algorithm by Perl-Shiloach and labelling and scaling techniques to devise an FPTAS for the first three objectives. For the forth one, we propose a general and efficient polynomial-time algorithm.