Graphs, Dioids and Semirings
New Models and Algorithms
Published on 8. December 2010
Book
Paperback/Softback
XX, 388 pages
978-1-4419-4529-7 (ISBN)
Description
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.
Reviews / Votes
From the reviews:
"The authors carefully explain with examples what is meant by a canonically ordered monoid, semiring and dioid, and go on to show in the book the relevance of these algebraic structures to such classic operations research problems related to graphs and networks . . recommend this as a book to be added in the libraries of institutions where graduate courses in OR are taught, because it may provide ideas for PhD students and others to explore further the concepts developed in this book . ." (R Bharath, Journal of the Operational Research Society, Vol. 60, 2009)
More details
Series
Edition
1st ed. Softcover of orig. ed. 2008
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
26 s/w Abbildungen
XX, 388 p. 26 illus.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 22 mm
Weight
610 gr
ISBN-13
978-1-4419-4529-7 (9781441945297)
DOI
10.1007/978-0-387-75450-5
Schweitzer Classification
Other editions
Additional editions
Book
05/2008
Springer
€171.19
Shipment within 5-7 days
Content
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.