1
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
A binary tree with $$n>1$$ nodes has $${n_1}$$, $${n_2}$$ and $${n_3}$$ nodes of degree one, two and three respectively. The degree of a node is defined as the number of its neighbours.
Starting with the above tree, while there remains a node $$v$$ of degree two in the tree, add an edge between the two neighbours of $$v$$ and then remove $$v$$ from the tree. How many edges will remain at the end of the process?
2
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 $$G$$?
3
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Let Graph$$(x)$$ be a predicate which denotes that $$x$$ is a graph. Let Connected$$(x)$$ be a predicate which denotes that $$x$$ is connected. Which of the following first order logic sentences DOES NOT represent the statement: $$Not\,\,\,every\,\,\,graph\,\,\,is\,\,\,connected?$$
4
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Which of the following graphs has an Eulerian circuit?
Questions Asked from Graph Theory (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE CSE 2024 Set 2 (1)
GATE CSE 2024 Set 1 (2)
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