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DRDO CSE 2022 Paper 1 | Question: 31

admin asked in Algorithms Dec 15, 2022 edited Jan 26, 2023 by Lakshman Bhaiya

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How many topological sortings (or topological orderings) does the given directed graph have?

drdocse-2022-paper1
algorithms
topological-sort
4-marks
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admin asked in Algorithms Dec 15, 2022 edited Jan 26, 2023 by Lakshman Bhaiya

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admin asked in Set Theory & Algebra Dec 15, 2022

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DRDO CSE 2022 Paper 1 | Question: 8
Given a powerset $S$ of $\{1,2,3\}$, its partial order $\leq$ is given by set inclusion. That is, for any subsets $T_{1} \neq T_{2}$ of $\{1,2,3\}$ we have $T_{1} \leq T_{2}$ if and only if $T_{1} \subset T_{2}$. Construct the Hasse diagram on $S$ under this partial order definition.

admin asked in Set Theory & Algebra Dec 15, 2022

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admin asked in Graph Theory Dec 15, 2022

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DRDO CSE 2022 Paper 1 | Question: 9
Count the number of perfect matchings in the bipartite graph whose adjacency matrix $\text{A}$ is as follows. \[\left[\begin{array}{lll} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 1 & 1 & 1 \end{array}\right]\]

admin asked in Graph Theory Dec 15, 2022

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graph-theory
bipartite-graph
graph-matching
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admin asked in Graph Theory Dec 15, 2022

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DRDO CSE 2022 Paper 1 | Question: 10
Given a tree $\text{T}$ and $\lambda \geq 2$ colours $\left(c_{1}, c_{2}, \ldots, c_{\lambda}\right),$ how many proper colourings of the tree $\text{T}$ are possible?

admin asked in Graph Theory Dec 15, 2022

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graph-theory
graph-coloring
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4

admin asked in Digital Logic Dec 15, 2022

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DRDO CSE 2022 Paper 1 | Question: 25
Simplify the Boolean function $F=W^{\prime} X^{\prime} Y^{\prime}+W X^{\prime} Y^{\prime}+W^{\prime} X Y Z^{\prime}+X^{\prime} Y Z^{\prime}$

admin asked in Digital Logic Dec 15, 2022

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digital-logic
boolean-algebra
4-marks
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