Skip to content

MST

Algorithm

  1. Create a set mstSet that keeps track of vertices already included in #mst.
  2. Assign a key value to all vertices in the input graph. Initialize all key values to INFINITE. Assign the key value as 0 for the first vertex so that it is picked first.
  3. while mstSet doesn't include all vertices
    • Pick a vertex u which is not there in mstSet and has minumum key value
    • Include u to mstSet
    • Update key value of all adjacent vertices of u. To update the key values, interate through all adjacent vertices. For every adjacent vertex v, if weight of edge u-v is less the the previous keyu value of v, update the key value as weight of u-v

Example

mst 1.png