The minimal path sets (MPS) are achieved by Boolean algebraic simplification calculation. The authors put forward the analyzing result of the structural significance of the basic event.
A modified minimal path-based recursive decomposition algorithm for seismic reliability evaluation of lifeline networks
This problem deals with finding a minimal path through a grid of points while traveling only from left to right.
This paper gives a new method of finding the minimal sub-tree and gives the method of finding the matrix of minimal path weight.