1. A method for metric ranking in invariant networks comprising the steps of: considering an invariant network and a set of broken invariants in said invariant network; under first process, given a node/metric of said invariant network, determining multiple scores by integrating information from immediate neighboring nodes of said node to decide an anomaly score of said node for metric ranking; and under a second process, given a node/metric of said invariant network, using an iteration to recursively integrate information from immediate neighboring nodes of said at each round to determine an anomaly score of said node for metric ranking; wherein said first and second process facilitate a determination and ranking of said anomaly scores of each monitoring metrics in large scale invariant network systems for enabling following said ranking to investigate a problem in said invariant network.