Prism’s Algorithm is a #202204151143 which is used to solve #202204272006. It is pretty much the same to 202204151059#. The update rule for the algorithm could be simplified to \(d_w = \text{min}(d_w, c_{w,v})\) after vertex \(v\) is selected for each unknown \(w\) adjacent vertices. \(d\) denoted the weight of the edge.
Analysis
See 202204151059#.