Question: Specify whether the following statement is True or False. If it is true, justify it. If it is false, disprove it by giving a counter

Specify whether the following statement is True or False. If it is true, justify it. If it is false, disprove it by giving a counter example.

Given a weighted undirected graph G = (V;E) with weights w : E -> R, let T be a shortest path tree of G from a source node vs e V . Now multiply the weight of every edge by 3. T remains a shortest path tree of the graph G (from source vs) with new weights.

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