KHUSHI – Students Community https://iitmadrasstudentscommunity.me IITM Student Community is created to help students to get better grades in their final examinations by providing Course lectures, Graded Assignment Solutions Tue, 15 Aug 2023 13:27:48 +0000 en-US hourly 1 https://iitmadrasstudentscommunity.me/wp-content/uploads/2023/08/cropped-logo-IITM-190-×-100-px-5-150x150.png KHUSHI – Students Community https://iitmadrasstudentscommunity.me 32 32 Maths Week 10 Graded Assignments IIT Madras https://iitmadrasstudentscommunity.me/maths-week-10-graded-assignments-iit-madras/ https://iitmadrasstudentscommunity.me/maths-week-10-graded-assignments-iit-madras/#respond Sat, 12 Aug 2023 04:16:00 +0000 https://iitmadrasstudentscommunity.me/?p=724 Read More »Maths Week 10 Graded Assignments IIT Madras]]>
Maths week 10 graded assignment Complete  Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments 

 

1.The maximum number of non-zero entries in an adjacency matrix of a simple graph having � vertices can be

 

 

 

 

 

 

 

 

 
 
1 point
 

2.We have a graph � with 6 vertices. We write down the degrees of all vertices in � in descending order. Which of the following is a possible listing of the degrees?

 

 

 

 

 

 

 

 

 
 
1 point
3.We are trying to find the correct path in a maze. We start at the entrance. At some points, we have to choose a direction to explore. If we reach a dead end, we come back to the most recent intersection where we still have an unexplored direction to investigate. What is a good data structure to keep track of the intersections we have visited?
 
1 point
 

4.Suppose we obtain the following BFS tree rooted at node 1 for an undirected graph with vertices (1,2,3,4,5,…..14).



Which of the following cannot be an edge in the original graph?

 

 

 

 

 

 

 

 

 



2 MUTIPLE SELECT QUESTIONS:

 
 
1 point
 

Which of the following graphs satisfies the below properties:
   1. ∣��(�)∣ = 3, where ��(�) is the minimum vertex cover of a graph �.
   2. ∣��(�)∣ = 3, where ��(�) is the perfect matching of a graph �.
   3. The graph is a 3-colouring.

 
 
1 point
7.Which of the following statements is(are) true?

 

 

 

 

 

 



3 NUMERICAL ANSWER TYPE:

 
 
 

If A = [0101000101101001000001100111000100001010000001000] represents adjacency matrix of a graph �, then the cardinality of the maximum independent set of the graph � is

 
Answers = 5
1 point
 
 

A company manufactures 10 chemicals �1,�2,�3,….�10. Certain pairs of these chemicals are incompatible and would cause explosions if brought into contact with each other. Below graph shows the incompatibility of the chemicals, each vertex represents the chemical and each edge between a pair of chemicals represents that those two chemicals are incompatible. As a precautionary measure the company wishes to partition its warehouse into compartments, and store incompatible chemicals in different compartments. What is the least number of compartments into which the warehouse should be partitioned?

 
Answer = 3
1 point
 
 

10. An incomplete undirected graph is given below and the numbering on each vertex denotes the colouring of the graph(‘1‘ denotes color 1, ‘2’ denotes color 2, and ‘3’ denotes color 3). Find the number of maximum edges that can be added to the given graph such that the colouring is retained and the graph is planar.
NOTE: Planar graph is a graph that can be drawn on the plane in such a way that its edges intersect only at their endpoints.

Answer –6
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]]> https://iitmadrasstudentscommunity.me/maths-week-10-graded-assignments-iit-madras/feed/ 0 Qualifiers Notes https://iitmadrasstudentscommunity.me/qualifiers-notes-iit-madras/ https://iitmadrasstudentscommunity.me/qualifiers-notes-iit-madras/#respond Tue, 08 Aug 2023 13:29:32 +0000 https://iitmadrasstudentscommunity.me/?p=319 Read More »Qualifiers Notes]]>

The Foundational Level comprises courses in Mathematics, Statistics, Basics of Programming and Python, and English. These courses have been chosen to ensure that the learner who passes these successfully is well prepared to proceed to the Diploma Level courses.

MATHEMATICS I

This course introduces functions (straight lines, polynomials, exponentials and logarithms) and discrete mathematics (basics, graphs) with many examples. The students will be exposed to the idea of using abstract mathematical structures to represent concrete real life situations.

Maths 1 : Week 1-10 (gagneet )
Maths 1 : Week 1-6 (Aditya )
Maths 1 : Week 9-12 (Aditya)
Maths 1 : Week 7-9 (Nikhilesh)
Maths 1 : Week 1-12 (palash)
Maths 1 : Week7 -9 (Aditya )
Maths 1 : Week 1-3 (P.V Shabarshi)
Maths 1 : Week 1-10 (Puneet Pras)

STATISTICS I

The students will be introduced to large datasets. Using this data, the students will be introduced to various insights one can glean from the data. Basic concepts of probability also will be introduced during the course leading to a discussion on Random variables.

Stats I: Week 1 - 12 (Gagneet Kaur)
Stats I: Week 1 - 10 (P.V. Shabarish)
Stats I: Week 1 - 12 (Palash)
Stats I: Week 1 - 9 (Anonymous)

ENGLISH I

This course aims at achieving fluency and confidence in spoken and written English. This course will use insights from theories of learning and dominant methods of teaching language

English I: Week 1 - 9 (Gagneet Kaur)
English I: Week 1 - 9 (Aditya Dwivedi)

COMPUTATIONAL THINKING

The students will be introduced to a number of programming concepts using illustrative examples which will be solved almost entirely manually. The manual execution of each solution allows for close inspection of the concepts being discussed.

CT: Week 1 - 10 (Gagneet Kaur)
CT: Week 1 - 12 (Visist Thallam)
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]]> https://iitmadrasstudentscommunity.me/is-walking-good-exercise/feed/ 0 New Gym in Georgetown https://iitmadrasstudentscommunity.me/new-gym-georgetown/ https://iitmadrasstudentscommunity.me/new-gym-georgetown/#respond Wed, 17 Jul 2019 07:21:37 +0000 https://demosites.io/fitness/?p=61 Read More »New Gym in Georgetown]]> Introduction

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Discussion

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Conclusion

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]]> https://iitmadrasstudentscommunity.me/new-gym-georgetown/feed/ 0 Christmas promotions https://iitmadrasstudentscommunity.me/christmas-promotions/ https://iitmadrasstudentscommunity.me/christmas-promotions/#respond Wed, 17 Jul 2019 07:19:59 +0000 https://demosites.io/fitness/?p=59 Read More »Christmas promotions]]> Introduction

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Discussion

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Conclusion

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]]> https://iitmadrasstudentscommunity.me/christmas-promotions/feed/ 0 Gym hours for new year’s day https://iitmadrasstudentscommunity.me/gym-new-year/ https://iitmadrasstudentscommunity.me/gym-new-year/#respond Thu, 11 Jul 2019 08:17:31 +0000 https://demosites.io/fitness/?p=1 Read More »Gym hours for new year’s day]]> Introduction

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Discussion

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Conclusion

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]]> https://iitmadrasstudentscommunity.me/gym-new-year/feed/ 0