Buckley F. Introductory Graph Theory with Applications 2013 torrent

Textbook in PDF format

Graph theory's practical applications extend not only across multiple areas of mathematics and computer science but also throughout the social sciences, business, engineering, and other subjects. Buckley and Lewinter have written their text with students of all these disciplines in mind. Pedagogically rich, the authors provide hundreds of worked-out examples, figures, and exercises of varying degrees of difficulty. Concepts are presented in a readable and accessible manner, and applications are stressed throughout so the reader never loses sight of the powerful tools graph theory provides to solve real-world problems. Such diverse areas as job assignment, delivery truck routing, location of emergency or service facilities, network reliability, zoo design, exam scheduling, error-correcting codes, facility layout, and the critical path method are covered.
Preface
Notation
Introductory Concepts
Mathematical Preliminaries
Mathematical Induction
Permutations and Combinations
Pascal's Triangle and Combinatorial Identities
Introduction to Graphs and Their Uses
Graphs as Models
Subgraphs and Types of Graphs
Isomorphic Graphs
Graph Operations
Trees and Bipartite Graphs
Properties of Trees
Minimum Spanning Trees
A Characterization of Bipartite Graphs
Matchings and Job Assignments
Distance and Connectivity
Distance in Graphs
Connectivity Concepts
Applications
Eulerian and Hamiltonian Graphs
Characterization of Eulerian Graphs
Hamiltonicity
Applications
Graph Coloring
Vertex Coloring and Independent Sets
Edge Coloring
Applications of Graph Coloring
Matrices
Review of Matrix Concepts
The Adjacency Matrix
The Distance Matrix
Graph Algorithms
Graph Searching
Graph Coloring Algorithms
Tree Codes
Planar Graphs
Planarity
Planar Graphs, Graph Coloring, and Embedding
Graph Duals and a Planar Graph Application
Digraphs and Networks
Directed Graphs
Networks
The Critical Path Method
Special Topics
Ramsey Theory
Domination in Graphs
Answers/Solutions to Selected Exercises
Index