1
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$$(u, v)$$ $$\ge 12$$
2
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
3
GATE CSE 2006
+1
-0.3
If all the edge weights of an undirected graph are positive, then any subject of edges that connects all the vertices and has minimum total weight is a
A
Hamiltonian cycle
B
grid
C
hypercube
D
tree
4
GATE CSE 2006
+1
-0.3
Consider a weighted complete graph $$G$$ on the vertex set $$\left\{ {{v_1},\,\,\,{v_2},....,\,\,\,{v_n}} \right\}$$ such that the weight of the edge $$\left( {{v_i},\,\,\,\,{v_j}} \right)$$ is $$2\left| {i - j} \right|$$. The weight of a minimum spanning tree of $$G$$ is
A
$$n - 1$$
B
$$2n - 2$$
C
$$\left( {\matrix{ n \cr 2 \cr } } \right)$$
D
$${n^2}$$
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