Graph Theory

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Prof. Soumen Maity


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SKU: IISER Pune Category:


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.


B.Sc, M.Sc, B.Tech, M.Tech


It will be recognized by several industries & academic institutes


Prof.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.

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Total hours


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1. Join the course
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COURSE ENROLMENT FEE: The Fee for Enrolment is Rs. 2000 + GST

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Assignment score = Score more than 50% in at least 6/8 assignments.
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EXAM FEE: The remote proctoring exam is optional for a fee of Rs.1500 + GST. An additional fee of Rs.1500 will apply for a non-standard time slot.

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After the exam, based on the certification criteria of the course, results will be declared and learners will be notified of the same. A link to download the e-certificate will be shared with learners who pass the certification exam.


Course Details

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

1 review for Graph Theory

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