1

GATE CSE 2010

MCQ (Single Correct Answer)

+2

-0.6

The degree sequence of a simple graph is the sequence of the degrees of the nodes in the graph in decreasing order. Which of the following sequences can not be the degree sequence of any graph?

$${\rm I}.$$$$\,\,\,\,\,7,6,5,4,4,3,2,1$$

$${\rm I}{\rm I}.$$$$\,\,\,\,\,6,6,6,6,3,3,2,2$$

$${\rm I}{\rm I}{\rm I}.$$$$\,\,\,\,\,7,6,6,4,4,3,2,2$$

$${\rm I}V.$$$$\,\,\,\,\,8,7,7,6,4,2,1,1$$

$${\rm I}.$$$$\,\,\,\,\,7,6,5,4,4,3,2,1$$

$${\rm I}{\rm I}.$$$$\,\,\,\,\,6,6,6,6,3,3,2,2$$

$${\rm I}{\rm I}{\rm I}.$$$$\,\,\,\,\,7,6,6,4,4,3,2,2$$

$${\rm I}V.$$$$\,\,\,\,\,8,7,7,6,4,2,1,1$$

2

GATE CSE 2008

MCQ (Single Correct Answer)

+2

-0.6

Which of the following statements is true for every planar graph on $$n$$ vertices?

3

GATE CSE 2008

MCQ (Single Correct Answer)

+2

-0.6

$$G$$ is a simple undirected graph. Some vertices of $$G$$ are of odd degree. Add a node $$v$$ to $$G$$ and make it adjacent to each odd degree vertex of $$G$$. The resultant graph is sure to be

4

GATE CSE 2008

MCQ (Single Correct Answer)

+2

-0.6

$$G$$ is a graph on $$n$$ vertices and $$2n-2$$ edges. The edges of $$G$$ can be partitioned into two edge-disjoint spanning trees. Which of the following in NOT true for $$G$$?

Questions Asked from Graph Theory (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE CSE 2024 Set 2 (1)
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