1

GATE CSE 2004

MCQ (Single Correct Answer)

+2

-0.6

The minimum number of colours required to colour the following graph, such that
no two adjacent vertices are assigned the same colour, is

2

GATE CSE 2004

MCQ (Single Correct Answer)

+2

-0.6

How many graphs on $$n$$ labeled vertices exist which have at least $$\left( {{n^2} - 3n} \right)/2\,\,\,$$ edges?

3

GATE CSE 2004

MCQ (Single Correct Answer)

+2

-0.6

Let $${G_1} = \left( {V,\,{E_1}} \right)$$ and $${G_2} = \left( {V,\,{E_2}} \right)$$ be connected graphs on the same vertex set $$V$$ with more than two vertices. If $${G_1} \cap {G_2} = \left( {V,{E_1} \cap {E_2}} \right)$$ is not a connected graph, then the graph $${G_1} \cup {G_2} = \left( {V,{E_1} \cup {E_2}} \right)$$

4

GATE CSE 2004

MCQ (Single Correct Answer)

+2

-0.6

What is the number of vertices in an undirected connected graph with $$27$$ edges, $$6$$ vertices of degree $$2$$, $$\,\,$$ $$3$$ vertices of degree 4 and remaining of degree 3?

Questions Asked from Graph Theory (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

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