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KUVEMPU UNIVERSITY  Department of Computer Science Jnana Sahyadri Shankarghatta Seminar on “ Kruskal’s Algorithm ” Presented by,  Chaitra.M.S  3 rd   sem , M.Sc, Dept. Of Computer Science, Shankarghatta. Under the guidance of, Suresh.M,   Dept. Of Computer Science, Shankarghatta.
Contents ,[object Object],[object Object],[object Object],[object Object]
Spanning Trees
Spanning trees ,[object Object],[object Object],[object Object],[object Object],A connected, undirected graph Four of the spanning trees of the graph
Finding a spanning tree ,[object Object],[object Object],[object Object],[object Object],An undirected graph
Minimizing costs ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Minimum-cost spanning trees ,[object Object],[object Object],[object Object],A B E D F C 16 19 21 11 33 14 18 10 6 5 A connected, undirected graph A B E D F C 16 11 18 6 5 A minimum-cost spanning tree A B E D F C 16 19 21 11 33 14 18 10 6 5 A connected, undirected graph
Kruskal algorithm(E,cost,n,t) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example graph
 
 
 
 
 
 
 
 
Minimum cost spanning tree we obtained finally
  Any queries???????????
[object Object]

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KRUSKAL'S algorithm from chaitra