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This textbook discusses the design and implementation of basic algebraic graph algorithms, and algebraic graph algorithms for complex networks, employing matroids whenever possible. The text describes the design of a simple parallel matrix algorithm kernel that can be used for parallel processing of algebraic graph algorithms. Example code is presented in pseudocode, together with case studies in Python and MPI. The text assumes readers have a background in graph theory and/or graph algorithms.
List of contents
1. Introduction.- 2. Graphs, Matrices and Matroids.- 3. Parallel Matrix Algorithm Kernel.- 4. Basic Graph Algorithms.- 5. Connectivity, Matching and Matroids.- 6. Subgraph Search.- 7. Analysis of Large Graphs.- 8. Clustering in Complex Networks.- 9. Kronecker Graphs.- 10. Sample Algorithms for Complex Networks.
About the author
Dr. Kayhan Erciyes is a full Professor in the Department of Computer Engineering at Yäar University, ¿zmir, Türkiye. His other publications include the Springer titles Distributed Real-Time Systems, Guide to Graph Algorithms, Distributed and Sequential Algorithms for Bioinformatics, Discrete Mathematics and Graph Theory.
Report
"The master's course 'Algorithms on graphs and networks' has become almost mandatory at most universities in the computer science department. The refereed manual may be the basis of such a course, including both lectures and practical training." (I. M. Erusalimskiy, zbMATH 1487.05001, 2022)
