Testbook Logo
Exams SuperCoaching Test Series Skill Academy
More
English
Hindi

Question

Download Solution PDF

When using Dijkstra’s algorithm to find shortest path in a graph, which of the following statement is not true?

This question was previously asked in
UGC NET Computer Science (Paper 2) Dec 2019 Paper
Attempt Online
View all UGC NET Papers >
  1. It can find shortest path within the same graph data structure
  2. Every time a new node is visited, we choose the node with smallest known distance/cost (weight) to visit first
  3. Shortest path always passes through least number of vertices
  4. The graph needs to have a non-negative weight on every edge

Answer (Detailed Solution Below)

Option 3 : Shortest path always passes through least number of vertices
Free Tests
View all Free tests >
Free
UGC NET Paper 1: Held on 21st August 2024 Shift 1
16.3 K Users
50 Questions 100 Marks 60 Mins
Start Now

Detailed Solution

Download Solution PDF

Concept:

Dijkstra’s algorithm is used to find single source shortest path i.e path between any two vertices in a graph. All edges must have non-negative weights and graph must be connected.

Explanation:

F3 R.S 20.5.20 Pallavi D3

 

V

a

b

c

d

e

f

g

a

0a

3a

5a

6a

Inf

Inf

Inf

b

0a

3a

5a

5b

Inf

Inf

Inf

C

0a

3a

5a

5b

11c

8c

12c

d

0a

3a

5a

5b

11c

8c

12c

f

0a

3a

5a

5b

11c

8c

9f

 

So, we get the shortest distance from a to g . (a -> b -> c -> d -> f -> g).

Download Solution PDF
Latest UGC NET Updates

Last updated on Jul 7, 2025

-> The UGC NET Answer Key 2025 June was released on the official website ugcnet.nta.ac.in on 06th July 2025.

-> The UGC NET June 2025 exam will be conducted from 25th to 29th June 2025.

-> The UGC-NET exam takes place for 85 subjects, to determine the eligibility for 'Junior Research Fellowship’ and ‘Assistant Professor’ posts, as well as for PhD. admissions.

-> The exam is conducted bi-annually - in June and December cycles.

-> The exam comprises two papers - Paper I and Paper II. Paper I consists of 50 questions and Paper II consists of 100 questions. 

-> The candidates who are preparing for the exam can check the UGC NET Previous Year Papers and UGC NET Test Series to boost their preparations.

More Shortest Paths Questions

Q1.Bellman Ford algorithm does not work for graphs _______.
Q2.Which of the following algorithm is used to solve the all-pair shortest path problem?
Q3.When using Dijkstra’s algorithm to find shortest path in a graph, which of the following statement is not true?
Q4.Let G = (V, E) be a directed, weighted graph with weight function w:E → ℝ. For some function f:v → ℝ, for each edge (u, v) ϵ E, define w’(u, v) as w(u, v) + f(u) – f(v). Which one of the options completes the following sentence so that it is TRUE? “The shortest paths in G under w are shortest paths under w’ too, ______”.
Q5.Which of the following algorithms solves the single-source shortest paths?
Q6.Which of the following algorithm solves the all-pair shortest path problem?

More Graphs/Spanning Tree and Shortest Paths Questions

Q1.Statement 1: Given a graph G = (V, E) in which each vertex v ∈ V has an associated positive weight w(v), we can use linear programming to find the lower bound on the weight of the minimum-weight vertex cover. Statement 2: The lower bound can be found by maximizing the following \(\rm\sum_{v \in V}^n {w}(v) {x}(v)\) subject to x(u) + x(v) ≥ 1 for each (u, v) ∈ V x(v) ≤ 1 for each v ∈ V x(v) ≥ 0 for each v ∈ V In the light of the above statements, choose the most appropriate answer from the options given below:
Q2.Given the graph below which one of the following edges cannot be added in that order to find a minimum spanning tree algorithm. A. a - b B. d - f C. b - f D. d - c E. d - e Choose the correct answer from the options given below: 
Q3.Consider the Graph below: How many spanning trees can be found?
Q4.A top down approach to programming calls for: Statement I: Working from the general to the specific. Statement II: Postpone the minor decisions. Statement III: A systematic approach. Statement IV: Intermediate coding of the problem Which of the following is true?
Q5.Consider the following graph: For the graph; the following sequences of depth first search (DFS) are given (A) abcghf (B) abfchg (C) abfhgc (D) afghbc Which of the following is correct?
Q6.Consider the given tree below. Calculate the value at the root of the tree using alpha‐beta pruning algorithm.
Q7.Given below are two statements Statement I : Breadth‐First Search is optimal when all the step costs are equal whereas uniform‐cost search is optimal with any step‐cost. Statement II : When all the step costs are same uniform‐cost search expends more nodes at depth d than the Breadth‐First Search. In light of the above statements, choose the correct answer from the options given below
Q8.Consider the following graph. Among the following sequences I. a b e g h f II. a b f e h g III. a b f h g e IV. a f g h b e Which are depth first traversals of the above graph?
Q9.Which of the following concepts can be used to identify loops? A. Depth first ordering B. Dominators C. Reducible graphs Choose the correct answer from the options given below :
Q10.Consider a simple undirected weighted graph G, all of whose edge weights are distinct. Which of the following statements about the minimum spanning trees of G is/are TRUE ?

More Algorithms Questions

Q1.The Highest Lower Bound on the number of Comparisons in the worst case for comparison-based sorting order of : 
Q2.In what manner is a state-space tree for a backtracking algorithm constructed ? 
Q3.Which open addressing technique is free from Clustering problems ?
Q4.Assume that P and NP are different i.e. P! = NP then for the expression NP-Complete ∩ P = ? Which among the following is correct ? 
Q5.The recurrence relation for binary search algorithm is : 
Q6.The time complexity of solving the Longest Common Subsequence problem using Dynamic Programming is : (m and n are lengths of subsequences) 
Q7.Given the following characteristics : (i) Optimal substructure (ii) Overlapping subproblems (iii) Memorization (iv) Decrease and conquer Dynamic programming has the following characteristics :
Q8.Which of the following is not a stable sorting algorithm ?
Q9.Match the LIST-I with LIST-II LIST - I LIST - II A. Breadth First Search I. LISP B. Depth First Search II. Syntax tree C. Prefix III. Stack D. Infix IV. Queue Choose the correct answer from the options given below:
Q10.Which one of the following is not related to the feed forward networks on the Backpropagation Algorithm
Super Coaching
UGC NET Test Series
UGC NET Previous Year Papers
UGC NET Syllabus
UGC NET Books
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
[email protected]
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Our Apps
Follow us on
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Get Free Access Now
Hot Links： teen patti real cash withdrawal teen patti joy teen patti all app lotus teen patti teen patti list