Using knowledge in DFS algorithms it is possible to write code that can organize the vertices and create functions that understand the order of factors.
<h3>Writting in DFS algorithm </h3>
<em>dfs(node)</em>
<em>{</em>
<em>mark node as visited</em>
<em>//initialize ans for this node to label of this node</em>
<em>ans=label[node]</em>
<em>for every neigbor of node</em>
<em>{</em>
<em>if the neighbor is visited</em>
<em>{</em>
<em>ans=minimum(ans,calculated[neighbor])</em>
<em>}</em>
<em>else if the neighbor is unvisited</em>
<em>{</em>
<em>call dfs(neighbor)</em>
<em>ans=minimum(ans,calculated[neighbor])</em>
<em>}</em>
<em />
<em>}</em>
<em>calculated[node]=ans</em>
<em>}</em>
<em>{</em>
<em>if the node is not visted{</em>
<em>call dfs(node)</em>
<em>}</em>
<em>}</em>
<em>for the given example graph we get minimum label for vertices as:</em>
<em>1 1 1 3 3 6 (in order for a,b,c,d,e,f), so the vertex with this label are c,c,c,e,e,f.</em>
See more about DFS algorithm at brainly.com/question/13014003
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