Algebraic Graph Algorithms - K. Erciyes

Algebraic Graph Algorithms

A Practical Guide Using Python

(Autor)

Buch | Softcover
XIII, 221 Seiten
2021 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-87885-6 (ISBN)
40,65 inkl. MwSt

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.

lt;b>Dr. Kayhan Erciyes is a full Professor in the Department of Software Engineering at Maltepe University, Istanbul, Turkey. His other publications include the Springer titles Discrete Mathematics and Graph TheoryDistributed Real-Time SystemsGuide to Graph AlgorithmsDistributed and Sequential Algorithms for Bioinformatics, and Distributed Graph Algorithms for Computer Networks.

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.

"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)

“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)

Erscheinungsdatum
Reihe/Serie Undergraduate Topics in Computer Science
Zusatzinfo XIII, 221 p. 100 illus., 12 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 367 g
Themenwelt Informatik Theorie / Studium Algorithmen
Mathematik / Informatik Mathematik
Schlagworte Algebraic Algorithms • algorithms • Graph Algorithms • MATLAB • Matroids • message passing interface (MPI) • Parallel Algorithms • pMATLAB
ISBN-10 3-030-87885-6 / 3030878856
ISBN-13 978-3-030-87885-6 / 9783030878856
Zustand Neuware
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