Graphs, Dioids and Semirings
New Models and Algorithms
Seiten
2008
Springer-Verlag New York Inc.
978-0-387-75449-9 (ISBN)
Springer-Verlag New York Inc.
978-0-387-75449-9 (ISBN)
Emphasizes the deep relations existing between the semiring and dioid structures with graphs and their combinatorial properties.
The primary objective of this essential text is to emphasize the deep relations existing between the semiring and dioid structures with graphs and their combinatorial properties. It does so at the same time as demonstrating the modeling and problem-solving flexibility of these structures. In addition the book provides an extensive overview of the mathematical properties employed by "nonclassical" algebraic structures which either extend usual algebra or form a new branch of it.
The primary objective of this essential text is to emphasize the deep relations existing between the semiring and dioid structures with graphs and their combinatorial properties. It does so at the same time as demonstrating the modeling and problem-solving flexibility of these structures. In addition the book provides an extensive overview of the mathematical properties employed by "nonclassical" algebraic structures which either extend usual algebra or form a new branch of it.
Pre-Semirings, Semirings and Dioids.- Combinatorial Properties of (Pre)-Semirings.- Topology on Ordered Sets: Topological Dioids.- Solving Linear Systems in Dioids.- Linear Dependence and Independence in Semi-Modules and Moduloids.- Eigenvalues and Eigenvectors of Endomorphisms.- Dioids and Nonlinear Analysis.- Collected Examples of Monoids, (Pre)-Semirings and Dioids.
| Reihe/Serie | Operations Research /Computer Science Interfaces Series ; 41 |
|---|---|
| Zusatzinfo | 26 Illustrations, black and white; XX, 388 p. 26 illus. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Informatik ► Weitere Themen ► Hardware |
| Mathematik / Informatik ► Mathematik ► Graphentheorie | |
| Wirtschaft ► Betriebswirtschaft / Management | |
| ISBN-10 | 0-387-75449-0 / 0387754490 |
| ISBN-13 | 978-0-387-75449-9 / 9780387754499 |
| Zustand | Neuware |
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