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Unformatted text preview: ry edge to produce G = (V, E, w ),
then p is also a shortest path in G .
Solution: True. Multiplying edge weights by any positive constant factor preserves their relative order, as well as the relative order of any linear combination
of the weights. All path weights are linear combinations of edge weights, so the
relative order of path weights is preserved. This means that a shortest path in G
will still be a shortest path in G . 3 6.006 Quiz 2 Solutions Name 4 Problem 3. MazeCraft [26 points] (5 parts)
You are playing SnowStorm’s new video game, MazeCraft. Realizing that you can convert a maze
into a graph with vertices representing cells and edges representing passages, you want to use your
newly learned graphsearch algorithms to navigate the maze. Consider the following converted
graph.
D
B
A F
C E G H For the following questions, assume that the graph is represented using adjacency lists, and that all
adjacency lists are sorted, i.e., the vertices in an adjacency list are always sorted alphabetically...
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 Fall '11
 ErikDemaine

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