# Graph Theory

By Prof. Soumen Maity   |   IISER Pune
Learners enrolled: 2429
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
Summary
 Course Status : Completed Course Type : Elective Duration : 8 weeks Start Date : 18 Jan 2021 End Date : 12 Mar 2021 Exam Date : 21 Mar 2021 IST Enrollment Ends : 01 Feb 2021 Category : Mathematics Foundations of Computing Credit Points : 2 Level : Undergraduate/Postgraduate

### 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

### 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: 21 March 2021 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 IISER Pune.It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team