Design an efficient algorithm that given any node vi

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Reference no: EM131504770

Question: Design an efficient algorithm that given any node VI in any network N with n nodes produces one of the following three outputs:

(i) a labeling of the nodes as V1, V2,......., Vn such that (19.3) holds;

(ii) a coloring of the nodes as in problem, showing that N is not connected;

(iii) a cycle in N.

Problem: Prove that a network is not connected if and only if its nodes can be colored green and red in such a way that each color occurs at least once but the two endpoints of every arc have the same color.

Reference no: EM131504770

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