1
GATE CSE 2011
+2
-0.6
An undirected graph G(V, E) contains n ( n > 2 ) nodes named v1 , v2 ,….vn. Two nodes vi , vj are connected if and only if 0 < |i – j| <= 2. Each edge (vi, vj ) is assigned a weight i + j. A sample graph with n = 4 is shown below. The length of the path from v5 to v6 in the MST of previous question with n = 10 is
A
11
B
25
C
31
D
41
2
GATE CSE 2010
+2
-0.6
Consider a complete undirected graph with vertex set {0, 1, 2, 3, 4}. Entry W(ij) in the matrix W below is the weight of the edge {i, j}. $$w = \left( {\matrix{ 0 & 1 & 8 & 1 & 4 \cr 1 & 0 & {12} & 4 & 9 \cr 8 & {12} & 0 & 7 & 3 \cr 1 & 4 & 7 & 0 & 2 \cr 4 & 9 & 3 & 2 & 0 \cr } } \right)$$$What is the minimum possible weight of a spanning tree T in this graph such that vertex 0 is a leaf node in the tree T? A 7 B 8 C 9 D 10 3 GATE CSE 2010 MCQ (Single Correct Answer) +2 -0.6 Consider a complete undirected graph with vertex set {0, 1, 2, 3, 4}. Entry W(ij) in the matrix W below is the weight of the edge {i, j}. $$w = \left( {\matrix{ 0 & 1 & 8 & 1 & 4 \cr 1 & 0 & {12} & 4 & 9 \cr 8 & {12} & 0 & 7 & 3 \cr 1 & 4 & 7 & 0 & 2 \cr 4 & 9 & 3 & 2 & 0 \cr } } \right)$$$ What is the minimum possible weight of a path P from vertex 1 to vertex 2 in this graph such that P contains at most 3 edges?
A
7
B
8
C
9
D
10
4
GATE CSE 2009
+2
-0.6
Consider the following graph: Which one of the following is NOT the sequence of edges added to the minimum spanning tree using Kruskal’s algorithm?
A
(b,e)(e,f)(a,c)(b,c)(f,g)(c,d)
B
(b,e)(e,f)(a,c)(f,g)(b,c)(c,d)
C
(b,e)(a,c)(e,f)(b,c)(f,g)(c,d)
D
(b,e)(e,f)(b,c)(a,c)(f,g)(c,d)
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