1
GATE CSE 2008
MCQ (Single Correct Answer)
+1
-0.3
What is the size of the smallest MIS (Maximal Independent Set) of a chain of nine nodes?
A
5
B
4
C
3
D
2
2
GATE CSE 2008
MCQ (Single Correct Answer)
+1
-0.3
What is the chromatic number of the following graph?
A
$$2$$
B
$$3$$
C
$$4$$
D
$$5$$
3
GATE CSE 2007
MCQ (Single Correct Answer)
+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
4
GATE CSE 2007
MCQ (Single Correct Answer)
+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$$(u, v)$$ $$\ge 12$$
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