Because of its inherent simplicity, graph theory has a wide range of applications in engineering, and in physical sciences. It has of course uses in social sciences, in linguistics and in numerous other areas. In fact, a graph can be used to represent almost any physical situation involving discrete objects and the relationship among them. Now with the solutions to engineering and other problems becoming so complex leading to larger graphs, it is virtually difficult to analyze without the use of computers.
This book is recommended in IIT Kharagpur, West Bengal for B.Tech Computer Science, NIT Arunachal Pradesh, NIT Nagaland, NIT Agartala, NIT Silchar, Gauhati University, Dibrugarh University, North Eastern Regional Institute of Management, Assam Engineering College, West Bengal Univerity of Technology (WBUT) for B.Tech, M.Tech Computer Science, University of Burdwan, West Bengal for B.Tech. Computer Science, Jadavpur University, West Bengal for M.Sc. Computer Science, Kalyani College of Engineering, West Bengal for B.Tech. Computer Science.
Key Features: This book provides a rigorous yet informal treatment of graph theory with an emphasis on computational aspects of graph theory and graph-theoretic algorithms. Numerous applications to actual engineering problems are incorpo-rated with software design and optimization topics.
Sprache
Verlagsort
Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 20 mm
ISBN-13
978-81-203-0145-0 (9788120301450)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Narsingh Deo, Charles E. Millican Professor, Department of Computer Science, University of Central Florida.
- Preface.
- Introduction
- Paths and Circuits
- Trees and Fundamental Circuits
- Cut-Sets and Cut-Vertices
- Planar and Dual Graphs
- Vector Spaces of a Graph
- Matrix Representation of Graphs
- Coloring, Covering, and Partitioning
- Directed Graphs
- Enumeration of Graphs
- Graph Theoretic Algorithms and Computer Programs
- Graphs in Switching and Coding Theory
- Electrical Network Analysis by Graph Theory
- Graph Theory in Operations Research
- Survey of other Applications
- Appendix A: Binet-Cauchy Theorem
- Appendix B: Nullity of a Matrix and Sylvester's Law
- Index