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Any subset of edges that connects all the vertices and has minimum total weight, if all the edge weights of an undirected graph are positive is called _______(a) subgraph(b) tree(c) hamiltonian cycle(d) gridI have been asked this question in an interview.This key question is from Complete and Connected Graphs topic in division Graphs of Discrete Mathematics

Answer»

Right CHOICE is (b) tree

Easy explanation: If all the edge weights of an UNDIRECTED graph are positive, any subset of edges that CONNECTS all the vertices and has minimum TOTAL weight is termed as a tree. In this case, we need to have a minimum spanning tree need to be EXACT.



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