GATE ME 2014 Set 3 — Question 31
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Industrial Engineering → Operations Research → Network Flow Models
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Question
A minimal spanning tree in network flow models involves
Correct answer
(B) all the nodes with cycle/loop not allowed
Solution
A spanning tree of a connected graph is a subgraph that is a tree and includes all the vertices of the graph. By definition, a tree is a connected graph with no cycles (loops). Therefore, a minimal spanning tree involves all the nodes with no cycles allowed.
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