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CS570
Analysis of Algorithms
Fall 2006
Exam 1
Name: _____________________
Student ID: _________________
Maximum
Received
Problem 1
20
Problem 2
10
Problem 3
10
Problem 4
10
Problem 5
10
Problem 6
20
Problem 7
20
Note: The exam is closed book closed notes.
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View Full Document1)
20 pts
Mark the following statements as
TRUE
or
FALSE
. No need to provide any
justification.
[ TRUE/FALSE ]
If T(n) is both
O
(f(n)) and
Ω
(f(n)), then T(n) is
Ө
(f(n)) .
[ TRUE/FALSE ]
For a graph G and a node v in that graph, the DFS and BFS trees of G rooted at v
always contain the same number of edges
[ TRUE/FALSE ]
Complexity of the “Decrease_Key” operation is always O(lgn) for a priority
queue.
[ TRUE/FALSE ]
For a graph with distinct edge weights there is a unique MST.
[ TRUE/FALSE ]
Dynamic programming considers all the possible solutions.
[ TRUE/FALSE ]
Consider an undirected graph G=(V, E) and a shortest path P from s to t in G.
Suppose we add one 1 to the cost of each edge in G. P will still remain as a
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 Spring '06
 Shamsian
 Algorithms

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