Definitions with examples have been cited elegantly
Theorem proofs are explained rigorously
Many important algorithms with applications have been described
Many examples are used to illustrate different topics for concepts
The theories have been written in simple and clear mathematical logical language
The readers must read the theory carefully before solving problems
Algorithms are discussed elegantly and its applications have been demonstrated through examples
The purpose of the book is to present the concept of the theories of graphs, algorithms and its applications
Definitions with examples have been cited elegantly
Theorem proofs are explained rigorously
Many important algorithms with applications have been described
Many examples are used to illustrate different topics for concepts
The theories have been written in simple and clear mathematical logical language
The readers must read the theory carefully before solving problems
Algorithms are discussed elegantly and its applications have been demonstrated through examples
The purpose of the book is to present the concept of the theories of graphs, algorithms and its applications
Includes supplementary material: sn.pub/extras
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, Physicaillegalscripta, 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.
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.
Dedication.- About the Author.- Preface.- Acknowledgement.- Table of Contents.- Introduction to Graphs.- Subgraphs, Paths and Connected Graphs.- Euler Graphs and Hamiltonian Graphs.- Trees and Fundamental Circuits.- Algorithms on Graphs.- Matrix Representation on Graphs.- Cut Sets and Cut Vertices.- Colouring.- Planar and Dual Graphs.- Network Flows.- Appendix.- References.- Index.
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)
With elegantly defined examples and rigorously explained theorem proofs, this book presents concepts in the theory of graphs and algorithms, and their applications. It describes many key algorithms and uses simple, clear, and logical mathematical language.
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.
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)
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, Physicaillegalscripta, 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.
Über den Autor
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, Physicaillegalscripta, 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.
Inhaltsverzeichnis
Dedication.- About the Author.- Preface.- Acknowledgement.- Table of Contents.- Introduction to Graphs.- Subgraphs, Paths and Connected Graphs.- Euler Graphs and Hamiltonian Graphs.- Trees and Fundamental Circuits.- Algorithms on Graphs.- Matrix Representation on Graphs.- Cut Sets and Cut Vertices.- Colouring.- Planar and Dual Graphs.- Network Flows.- Appendix.- References.- Index.
Klappentext
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.
Definitions with examples have been cited elegantly
Theorem proofs are explained rigorously
Many important algorithms with applications have been described
Many examples are used to illustrate different topics for concepts
The theories have been written in simple and clear mathematical logical language
The readers must read the theory carefully before solving problems
Algorithms are discussed elegantly and its applications have been demonstrated through examples
The purpose of the book is to present the concept of the theories of graphs, algorithms and its applications
Includes supplementary material: sn.pub/extras
