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Previous year question hub

Graph Algorithms - Algorithms - Computer Science & Information Technology Previous Year Questions

Practice Graph Algorithms - Algorithms - Computer Science & Information Technology previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

28Papers
18Years
82Questions
1Topics

Graph Algorithms question pattern

Every graph below is calculated only from this selection.

Questions by year

Compare question counts across years.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 58 70.7%
Easy 24 29.3%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 46 56.1%
Numerical Answer Type (NAT) 27 32.9%
MSQ 9 11%

Subject weightage

Top subjects by unique question coverage.

Computer Science & Information Technology
82 Qs

Most asked topics

Top topics across the included previous year papers.

Algorithms
82 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Graph Algorithms
82 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Computer Science and Information Technology (CS) 2026
6 Qs
Computer Science and Information Technology (CS) 2026
2 Qs
Computer Science & Information Technology (CS) 2025 [Session 1]
3 Qs
Computer Science & Information Technology (CS) 2025 [Session 2]
3 Qs
Computer Science & Information Technology (CS) 2024 [Session 1]
3 Qs
Computer Science & Information Technology (CS) 2024 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2023 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2022 [Session 2]
3 Qs
Computer Science & Information Technology (CS) 2021 [Session 1]
2 Qs
Computer Science & Information Technology (CS) 2021 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2020 [Session 2]
4 Qs
Computer Science & Information Technology (CS) 2019 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2018 [Session 2]
4 Qs
Computer Science & Information Technology (CS) 2017 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2016 [Session 1]
5 Qs
Computer Science & Information Technology (CS) 2016 [Session 2]
4 Qs
Computer Science & Information Technology (CS) 2014 [Session 1]
5 Qs
Computer Science & Information Technology (CS) 2014 [Session 2]
3 Qs
Computer Science & Information Technology (CS) 2014 [Session 3]
3 Qs
Computer Science & Information Technology (CS) 2013 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2013 [Session 4]
2 Qs
Computer Science & Information Technology (CS) 2013 [Session 1]
1 Qs
Computer Science & Information Technology (CS) 2013 [Session 3]
1 Qs
Computer Science & Information Technology (CS) 2011
2 Qs
Computer Science & Information Technology (CS) 2010
3 Qs
Computer Science & Information Technology (CS) 2009
3 Qs
Computer Science & Information Technology (CS) 2008
5 Qs
Computer Science & Information Technology (CS) 2007
3 Qs

Included previous year papers

Newest papers appear first. Search these papers or sort by year and name.

Paper nameYearPDFAttempt
Computer Science and Information Technology (CS) 20262026
6 questions in this view
2026
Computer Science and Information Technology (CS) 20262026
2 questions in this view
2026
Computer Science & Information Technology (CS) 2025 [Session 1]2025
3 questions in this view
2025
Computer Science & Information Technology (CS) 2025 [Session 2]2025
3 questions in this view
2025
Computer Science & Information Technology (CS) 2024 [Session 1]2024
3 questions in this view
2024
Computer Science & Information Technology (CS) 2024 [Session 2]2024
2 questions in this view
2024
Computer Science & Information Technology (CS) 2023 [Session 2]2023
2 questions in this view
2023
Computer Science & Information Technology (CS) 2022 [Session 2]2022
3 questions in this view
2022
Computer Science & Information Technology (CS) 2021 [Session 1]2021
2 questions in this view
2021
Computer Science & Information Technology (CS) 2021 [Session 2]2021
2 questions in this view
2021
Computer Science & Information Technology (CS) 2020 [Session 2]2020
4 questions in this view
2020
Computer Science & Information Technology (CS) 2019 [Session 2]2019
2 questions in this view
2019
Computer Science & Information Technology (CS) 2018 [Session 2]2018
4 questions in this view
2018
Computer Science & Information Technology (CS) 2017 [Session 2]2017
2 questions in this view
2017
Computer Science & Information Technology (CS) 2016 [Session 1]2016
5 questions in this view
2016
Computer Science & Information Technology (CS) 2016 [Session 2]2016
4 questions in this view
2016
Computer Science & Information Technology (CS) 2014 [Session 1]2014
5 questions in this view
2014
Computer Science & Information Technology (CS) 2014 [Session 2]2014
3 questions in this view
2014
Computer Science & Information Technology (CS) 2014 [Session 3]2014
3 questions in this view
2014
Computer Science & Information Technology (CS) 2013 [Session 1]2013
1 questions in this view
2013
Computer Science & Information Technology (CS) 2013 [Session 2]2013
2 questions in this view
2013
Computer Science & Information Technology (CS) 2013 [Session 3]2013
1 questions in this view
2013
Computer Science & Information Technology (CS) 2013 [Session 4]2013
2 questions in this view
2013
Computer Science & Information Technology (CS) 20112011
2 questions in this view
2011
Computer Science & Information Technology (CS) 20102010
3 questions in this view
2010
Computer Science & Information Technology (CS) 20092009
3 questions in this view
2009
Computer Science & Information Technology (CS) 20082008
5 questions in this view
2008
Computer Science & Information Technology (CS) 20072007
3 questions in this view
2007

All Graph Algorithms previous year questions

Practice every matching question in batches of 20, with every available option.

1
2007 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2007
Consider the DAG with \( V = \{1,2,3,4,5,6\} \), shown below.
[Image of a DAG]
Which of the following is NOT a topological ordering?

Question diagram

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2
2007 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2007

In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently, in terms of time complexity, by

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3
2007 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2007

Let w be the minimum weight among all edge weights in an undirected connected graph. Let e be a specific edge of weight w. Which of the following is FALSE?

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4
2008 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2008

The most efficient algorithm for finding the number of connected components in an undirected graph on n vertices and m edges has time complexity

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5
2008 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2008

The Breadth First Search algorithm has been implemented using the queue data structure. One possible order of visiting the nodes of the following graph is

Question diagram

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6
2008 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2008
Which of the following statements is true for every planar graph on $n$ vertices?
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7
2008 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2008
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 is NOT true for G?
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8
2008 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2008
Dijkstra's single source shortest path algorithm when run from vertex $a$ in the above graph, computes the correct shortest path distance to

Question diagram

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9
2009 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2009
What is the chromatic number of an \(n\)-vertex simple connected graph which does not contain any odd length cycle ? Assume \(n \geq 2\).
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10
2009 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2009
Which of the following statement(s) is/are correct regarding Bellman-Ford shortest path algorithm ?
P. Always finds a negative weighted cycle, if one exists.
Q. Finds whether any negative weighted cycle is reachable from the source.
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11
2009 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2009
Consider the following graph :

Which one of the following is NOT the sequence of edges added to the minimum spanning tree using Kruskal's algorithm ?

Question diagram

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12
2010 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2010
Let \(G = (V, E)\) be a graph. Define \(\xi(G) = \sum\limits_d i_d * d\), where \(i_d\) is the number of vertices of degree \(d\) in \(G\). If \(S\) and \(T\) are two different trees with \(\xi(S) = \xi(T)\), then
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13
2010 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2010
What is the minimum possible weight of a spanning tree \(T\) in this graph such that vertex 0 is a leaf node in the tree \(T\)?

Question diagram

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14
2010 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2010
What is the minimum possible weight of a path \(P\) from vertex 1 to vertex 2 in this graph such that \(P\) contains at most 3 edges?
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15
2013 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2013 [Session 1]
What is the time complexity of Bellman-Ford single-source shortest path algorithm on a complete graph of \(n\) vertices?
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16
2013 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2013 [Session 2]
What is the time complexity of Bellman-Ford single-source shortest path algorithm on a complete graph of $n$ vertices?
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17
2013 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2013 [Session 2]
The line graph L(G) of a simple graph G is defined as follows: • There is exactly one vertex v(e) in L(G) for each edge e in G. • For any two edges e and e' in G, L(G) has an edge between v(e) and v(e'), if and only if e and e' are incident with the same vertex in G. Which of the following statements is/are TRUE? (P) The line graph of a cycle is a cycle. (Q) The line graph of a clique is a clique. (R) The line graph of a planar graph is planar. (S) The line graph of a tree is a tree.
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18
2013 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2013 [Session 3]

What is the time complexity of Bellman-Ford single-source shortest path algorithm on a complete graph of n vertices?

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19
2013 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2013 [Session 4]
Which of the following statements is/are TRUE for undirected graphs?
P: Number of odd degree vertices is even.
Q: Sum of degrees of all vertices is even.
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20
2014 · Computer Science & Information Technology · Algorithms · Graph Algorithms
Computer Science & Information Technology (CS) 2014 [Session 1]
Let G be a graph with n vertices and m edges. What is the tightest upper bound on the running time of Depth First Search on G, when G is represented as an adjacency matrix?
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Showing 20 of 81 questions