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
ABOUT THE INSTRUCTOR
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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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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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:
Introduction to Graph Theory: D.B. West (2001) Prentice Hall.
Graph Theory: F.Harary (1969) Addison-Wesley.
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