Due　to　reconnection　or　recombination　of　neighboring　strands　superfluid　vortex　knots　and　DNA　plasmid　torus　knots　and　links　are　found　to　undergo　an　almost　identical　cascade　process,　that　tend　to　reduce　topological　complexity　by　stepwise　unlinking.　Here,　by　using　the　HOMFLYPT　polynomial　recently　introduced　for　fluid　knots,　we　prove　that　under　the　assumption　that　topological　complexity　decreases　by　stepwise　unlinking　this　cascade　process　follows　a　path　detected　by　a　unique,　monotonically　decreasing　sequence　of　numerical　values.　This　result　holds　true　for　any　sequence　of　standardly　embedded　torus　knots　T(2,　2n　+　1)　and　torus　links　T(2,　2n).　By　this　result　we　demonstrate　that　the　computation　of　this　adapted　HOMFLYPT　polynomial　provides　a　powerful　tool　to　measure　topological　complexity　of　various　physical　systems.