Applied Graph Theory An Introduction With Graph Optimization And Algebraic Graph Theory is popular PDF and ePub book, written by Christopher H Griffin in 2023-08-08, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Applied Graph Theory An Introduction With Graph Optimization And Algebraic Graph Theory can be Read Online from any device for your convenience.
Applied Graph Theory An Introduction With Graph Optimization And Algebraic Graph Theory Book PDF Summary
This book serves as an introduction to graph theory and its applications. It is intended for a senior undergraduate course in graph theory but is also appropriate for beginning graduate students in science or engineering. The book presents a rigorous (proof-based) introduction to graph theory while also discussing applications of the results for solving real-world problems of interest. The book is divided into four parts. Part 1 covers the combinatorial aspects of graph theory including a discussion of common vocabulary, a discussion of vertex and edge cuts, Eulerian tours, Hamiltonian paths and a characterization of trees. This leads to Part 2, which discusses common combinatorial optimization problems. Spanning trees, shortest path problems and matroids are all discussed, as are maximum flow problems. Part 2 ends with a discussion of graph coloring and a proof of the NP-completeness of the coloring problem. Part 3 introduces the reader to algebraic graph theory, and focuses on Markov chains, centrality computation (e.g., eigenvector centrality and page rank), as well as spectral graph clustering and the graph Laplacian. Part 4 contains additional material on linear programming, which is used to provide an alternative analysis of the maximum flow problem. Two appendices containing prerequisite material on linear algebra and probability theory are also provided.
Detail Book of Applied Graph Theory An Introduction With Graph Optimization And Algebraic Graph Theory PDF
- Author : Christopher H Griffin
- Release : 08 August 2023
- Publisher : World Scientific
- ISBN : 9789811273124
- Genre : Mathematics
- Total Page : 305 pages
- Language : English
- PDF File Size : 11,7 Mb
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