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Swayam Central

Graph Theory

By Prof. Soumen Maity   |   IISER Pune
Graph theory began in 1736 when the Swiss mathematician Euler solved Konigsberg seven-bridge problem. It has been two hundred and eighty years till now. Graph theory is the core content of Discrete Mathematics, and Discrete Mathematics is the theoretical basis of computer science and network information science. This course introduces in an elementary way some basic knowledge and the primary methods in Graph Theory.

INTENDED AUDIENCE : B.Sc, M.Sc, B.Tech, M.Tech 
PREREQUISITES :NIL
INDUSTRY SUPPORT : It will be recognized by several industries & academic institutes

Learners enrolled: 1354

SUMMARY

Course Status : Upcoming
Course Type : Elective
Duration : 8 weeks
Start Date : 27 Jan 2020
End Date : 20 Mar 2020
Exam Date : 29 Mar 2020
Enrollment Ends : 03 Feb 2020
Category :
  • Mathematics
  • Level : Undergraduate/Postgraduate
    This is an AICTE approved FDP course

    COURSE LAYOUT

    Week 1: Paths, Cycles, Trails, Eulerian Graphs, Hamiltonian Graphs
    Week 2: Bipartite graphs, Trees, Minimum Spanning Tree Algorithms
    Week 3: Matching and covers
    Week 4: Maximum matching in Bipartite Graphs
    Week 5: Cuts and Connectivity
    Week 6: 2-connected graphs
    Week 7: Network flow problems, Ford-Fulkerson algorithm
    Week 8
    : Planar graphs; Coloring of graphs

    BOOKS AND REFERENCES

    1. Introduction to Graph Theory: D.B. West (2001) Prentice Hall.
    2. Graph Theory: F.Harary (1969) Addison-Wesley.
    3. Graph Theory: R. Diestel  (2006) Springer .and network information science. This course introduces in an elementary way some basic knowledge and the primary methods  in Graph Theory


    INSTRUCTOR BIO

    Prof. Soumen Maity

    IISER Pune
    Soumen Maity is an Associate Professor of Mathematics at Indian Institute of ScienceEducation and Research (IISER) Pune. He received a PhD from the Theoretical Statistics & Mathematics Unit at Indian Statistical Institute (ISI) Kolkata, India in 2002. He has postdoctoral experience from Lund University, Sweden; Indian Institute of Management (IIM) Kolkata, India; and University of Ottawa,Canada. Prior to joining IISER Pune in 2009, he worked as Assistant Professor at IIT Guwahati and IITKharagpur.


    COURSE CERTIFICATE

    • The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
    • The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
    • Date and Time of Exams: 29th March 2020, Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
    • Registration url: Announcements will be made when the registration form is open for registrations.
    • The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
    • Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

    CRITERIA TO GET A CERTIFICATE:
    • Average assignment score = 25% of average of best 6 assignments out of the total 8 assignments
    given in the course.
    • Exam score = 75% of the proctored certification exam score out of 100
    • Final score = Average assignment score + Exam score

    YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75.
    • If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.
    • Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Madras. It will be e-verifiable at nptel.ac.in/noc.
    • Only the e-certificate will be made available. Hard copies will not be dispatched.

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