1
GATE CSE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Let $$G$$ be a weighted connected undirected graph with distinct positive edge weights. If every edge weight is increased by the same value, then which of the following statements is/are TRUE?

$$P:$$ Minimum spanning tree of $$G$$ does not change
$$Q:$$ Shortest path between any pair of vertices does not change

A
$$P$$ only
B
$$Q$$ only
C
Neither $$P$$ nor $$Q$$
D
Both $$P$$ and $$Q$$
2
GATE CSE 2006
MCQ (Single Correct Answer)
+1
-0.3
Consider a weighted complete graph G on the vertex set {v1, v2, ..vn} such that the weight of the edge (vi, vj) is $$2|i-j|$$. The weight of a minimum spanning tree of G is:
A
n — 1
B
2n — 2
C
$${n \over 2}$$
D
$$n^2$$
3
GATE CSE 2006
MCQ (Single Correct Answer)
+1
-0.3
To implement Dijkstra’s shortest path algorithm on unweighted graphs so that it runs in linear time, the data structure to be used is:
A
Queue
B
Stack
C
Heap
D
B-Tree
GATE CSE Subjects
Software Engineering
Web Technologies
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Graduate Aptitude Test in Engineering
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CBSE
Class 12