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Graphs, Dioids and Semirings

New Models and Algorithms

Paperback Engels 2010 9781441945297
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

The primary objective of this essential text is to emphasize the deep relations existing between the semiring and dioïd 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.

Specificaties

ISBN13:9781441945297
Taal:Engels
Bindwijze:paperback
Aantal pagina's:388
Uitgever:Springer US
Druk:0

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Inhoudsopgave

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.

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        Graphs, Dioids and Semirings