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
![GATE CSE 2004 Discrete Mathematics - Graph Theory Question 65 English](https://imagex.cdn.examgoal.net/NmDsvgE6wf9BVuwvN/DcBRMPR6Vx4SXClMY5V8CpAqf4QBK/rb358YH3kpiKHGvr43zbX1/uploadfile.jpg)
![GATE CSE 2004 Discrete Mathematics - Graph Theory Question 65 English](https://imagex.cdn.examgoal.net/NmDsvgE6wf9BVuwvN/DcBRMPR6Vx4SXClMY5V8CpAqf4QBK/rb358YH3kpiKHGvr43zbX1/uploadfile.jpg)
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)
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