Graph Theory with Algorithms and its Applications

1. Front Matter

   Pages i-xv

   PDF

2. Introduction to Graphs

   • Santanu Saha Ray

   Pages 1-10

3. Subgraphs, Paths, and Connected Graphs

   • Santanu Saha Ray

   Pages 11-24

4. Euler Graphs and Hamiltonian Graphs

   • Saha Ray

   Pages 25-34

5. Trees and Fundamental Circuits

   • Santanu Saha Ray

   Pages 35-47

6. Algorithms on Graphs

   • Santanu Saha Ray

   Pages 49-93

7. Matrix Representation on Graphs

   • Santanu Saha Ray

   Pages 95-114

8. Cut Sets and Cut Vertices

   • Santanu Saha Ray

   Pages 115-124

9. Coloring

   • Santanu Saha Ray

   Pages 125-133

10. Planar and Dual Graphs

    • Santanu Saha Ray

    Pages 135-158

11. Network Flows

    • Santanu Saha Ray

    Pages 159-178

12. Back Matter

    Pages 179-214

    PDF

The book has many important features which make it suitable for both undergraduate and postgraduate students in various branches of engineering and general and applied sciences. The important topics interrelating Mathematics & Computer Science are also covered briefly. The book is useful to readers with a wide range of backgrounds including Mathematics, Computer Science/Computer Applications and Operational Research. While dealing with theorems and algorithms, emphasis is laid on constructions which consist of formal proofs, examples with applications. Uptill, there is scarcity of books in the open literature which cover all the things including most importantly various algorithms and applications with examples.

• Euler Graph and Hamiltonian Graph
• Floyd-Warshall Algorithm
• Ford-Fulkerson Algorithm
• Graph Theory Textbook
• Kuratowski Graphs
• Prim Algorithm
• complexity

From the reviews:

“In Graph Theory with Algorithms and its Applications, Santanu Saha Ray intends to provide a course text for students in computer science, applied mathematics and operations research. … Overall I think Graph Theory with Algorithms and its Applications could serve as an excellent reference and contains some interesting applications. The chapters are separate enough that it could be used as a starting point for several independent explorations on various topics in the field of graph theory.” (Ellen Ziliak, MAA Reviews, January, 2014)

“The book is written in a very readable and exact style. All chapters are accompanied with necessary amount of examples, figures and there are also exercises at the end of each chapter. Everything is presented in a classical style using terms and notation commonly used in Graph theory. … It is suitable for students of technical universities (regular Math courses) or for more specialized students of Math (initial course of Graph Theory).” (Vladimír Lacko, Zentralblatt MATH, Vol. 1259, 2013)

• , Department of Mathematics, National Institute of Technology, Rourkela, India

  Santanu Saha Ray

Dr. S. Saha Ray is currently working as an Associate Professor at the Department of Mathematics, National Institute of Technology, Rourkela, India. Dr. Saha Ray completed his Ph.D. in 2008 from Jadavpur University, India. He received his M.C.A. degree in the year 2001 from Bengal Engineering College, Sibpur, Howrah, India. He completed his M.Sc. in Applied Mathematics at Calcutta University in 1998 and B.Sc. (Honors) in Mathematics at St. Xavier’s College, Kolkata, in 1996.  Dr. Saha Ray has about 12 years of teaching experience at undergraduate and postgraduate levels. He has also more than 10 years of research experience in various field of Applied Mathematics. He has published several research papers in numerous fields and various international journals of repute like Transaction ASME Journal of Applied Mechanics, Annals of Nuclear Energy, Physica Scripta, Applied Mathematics and Computation, etc. He is a member of the Society for Industrial and Applied Mathematics (SIAM) and American Mathematical Society (AMS). He was the Principal Investigator of the BRNS research project granted by BARC, Mumbai. Currently, he is acting as Principal Investigator of a research Project financed by DST, Govt. of India.

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