Ebook Graphs, Dioids and Semirings: New Models and Algorithms (Operations Research/Computer Science Interfaces Series), by Michel Gondran, Miche
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Graphs, Dioids and Semirings: New Models and Algorithms (Operations Research/Computer Science Interfaces Series), by Michel Gondran, Miche
Ebook Graphs, Dioids and Semirings: New Models and Algorithms (Operations Research/Computer Science Interfaces Series), by Michel Gondran, Miche
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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.
- Sales Rank: #4287775 in Books
- Published on: 2008-05-19
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x .94" w x 6.14" l, 1.54 pounds
- Binding: Hardcover
- 388 pages
Review
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)
From the Back Cover
The origins of Graph Theory date back to Euler (1736) with the solution of the celebrated 'Koenigsberg Bridges Problem'; and to Hamilton with the famous 'Trip around the World' game (1859), stating for the first time a problem which, in its most recent version – the 'Traveling Salesman Problem' -, is still the subject of active research. Yet, it has been during the last fifty years or so―with the rise of the electronic computers―that Graph theory has become an indispensable discipline in terms of the number and importance of its applications across the Applied Sciences. Graph theory has been especially central to Theoretical and Algorithmic Computer Science, and Automatic Control, Systems Optimization, Economy and Operations Research, Data Analysis in the Engineering Sciences. Close connections between graphs and algebraic structures have been widely used in the analysis and implementation of efficient algorithms for many problems, for example: transportation network optimization, telecommunication network optimization and planning, optimization in scheduling and production systems, etc.
The primary objectives of GRAPHS, DIOÏDS AND SEMIRINGS: New Models and Algorithms are to emphasize the deep relations existing between the semiring and dioïd structures with graphs and their combinatorial properties, while demonstrating the modeling and problem-solving capability and 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 (i.e., semirings), or correspond to a new branch of algebra (i.e., dioïds), apart from the classical structures of groups, rings, and fields.
Most helpful customer reviews
1 of 1 people found the following review helpful.
Graphs, Diodes and ...
By rerererere
I like this book. The content is excellent -- something most computer scientists should read if they get the chance. Unfortunately, its overshadowed by the poor printing of the copy I received. The type is grainy and pale, and I find it hard to read. Its not my particular copy, as Amazon were kind enough to let me exchange it, and the new copy is just as bad. And Springer wouldn't respond to attempts to ask them about the problem. Its pretty a pretty disappointing attitude to take with such an expensive purchase, and I will think twice before buying a book from Springer again. I could comment more on the contents, but I personally wouldn't buy this book without checking the copy I was going to receive was printed properly.
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