Let $G$ be a weighted graph with edge weights greater than one and $G'$ be the graph constructed by squaring the weights of edges in $G$. Let $T$ and $T'$ be the minimum spanning trees of $G$ and $G'$, respectively, with total weights $t$ and $t'$. Which of the following statements is TRUE? (A) $T' \eq T$ with total weight $t' = t^2 $
(B) $T' \eq T$ with total weight $t' < t^2$
(C) $T' \neq T$ but total weight $t' = t2$
(D) None of the above
Let $G$ be a weighted graph with edge weights greater than one and $G'$ be the graph constructed by squaring the weights of edges in $G$. Let $T$ and $T'$ be the minimum spanning trees of $G$ and $G'$, respectively, with total weights $t$ and $t'$. Which of the following statements is TRUE? (A) $T' \eq T$ with total weight $t' = t^2 $
(B) $T' \eq T$ with total weight $t' < t^2$
(C) $T' \neq T$ but total weight $t' = t2$
(D) None of the above
GATECSE