1
GATE CSE 2007
+1
-0.3
The maximum number of binary trees that can be formed with three unlabeled nodes is:
A
1
B
5
C
4
D
3
2
GATE CSE 2007
+1
-0.3
The height of a binary tree is the maximum number of edges in any root to leaf path. The maximum number of nodes in a binary tree of height $$h$$ is:
A
$${2^h} - 1$$
B
$${2^{h - 1}} - 1$$
C
$${2^{h + 1}} - 1$$
D
$${2^{h + 1}}$$
3
GATE CSE 2007
+1
-0.3
Consider a weighted undirected graph with positive edge weights and let $$uv$$ be an edge in the graph. It is known that the shortest path from the source vertex $$s$$ to $$u$$ has weight 53 and the shortest path from $$s$$ to $$v$$ has weighted 65. Which one of the following statements is always true?
A
weight$$(u, v)$$ $$< 12$$
B
weight$$(u, v)$$ $$\le 12$$
C
weight$$(u, v)$$ $$> 12$$
D
weight$$(u, v)$$ $$\ge 12$$
4
GATE CSE 2007
+1
-0.3
Let $$G$$ be the non-planar graph with minimum possible number of edges. Then $$G$$ has
A
9 edges and 5 vertices
B
9 edges and 6 vertices
C
10 edges and 5 vertices
D
10 edges and 6 vertices
GATE CSE Subjects
Discrete Mathematics
Programming Languages
Theory of Computation
Operating Systems
Digital Logic
Computer Organization
Database Management System
Data Structures
Computer Networks
Algorithms
Compiler Design
Software Engineering
Web Technologies
General Aptitude
EXAM MAP
Joint Entrance Examination