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1
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Let w be the minimum weight among all edge weights in an undirected connected graph. Let e be a specific edge of weight w . Which of the following is FALSE?
A
There is a minimum spanning tree containing e.
B
If e is not in a minimum spanning tree T, then in the cycle formed by adding e to T, all edges have the same weight.
C
Every minimum spanning tree has an edge of weight w .
D
e is present in every minimum spanning tree.
2
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
Consider the following graph: GATE CSE 2006 Algorithms - Greedy Method Question 34 English Which one of the following cannot be the sequence of edges added, in that order, to a minimum spanning tree using Kruskal’s algorithm?
A
$$(a-b),(d-f),(b-f),(d-c),(d-e)$$
B
$$(a-b),(d-f),(d-c),(b-f),(d-e)$$
C
$$(d-f),(a-b),(d-c),(b-f),(d-e)$$
D
$$(d-f),(a-b),(b-f),(d-e),(d-c)$$
3
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
Suppose we run Dijkstra’s single source shortest-path algorithm on the following edge-weighted directed graph with vertex P as the source.
GATE CSE 2004 Algorithms - Greedy Method Question 35 English In what order do the nodes get included into the set of vertices for which the shortest path distances are finalized?
A
$$P,Q,R,S,T,U$$
B
$$P,Q,R,U,S,T$$
C
$$P,Q,R,U,T,S$$
D
$$P,Q,T,R,U,S$$
4
GATE CSE 2003
MCQ (Single Correct Answer)
+2
-0.6
What is the weight of a minimum spanning tree of the following graph? GATE CSE 2003 Algorithms - Greedy Method Question 19 English
A
29
B
31
C
38
D
41
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