Graphs, Dioids and Semirings

New Models and Algorithms

Michel Gondran, Michel Minoux

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Hardback

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English

Springer-Verlag New York Inc.
19 May 2008

Combinatorics & graph theory

Series: Operations Research/Computer Science Interfaces Series

"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."

By: Michel Gondran, Michel Minoux
Imprint: Springer-Verlag New York Inc.
Country of Publication: United States
Edition: 2008 ed.
Volume: 41
Dimensions: Height: 235mm, Width: 155mm, Spine: 23mm
Weight: 770g
ISBN: 9780387754499
ISBN 10: 0387754490
Series: Operations Research/Computer Science Interfaces Series
Pages: 388
Publication Date: 19 May 2008
Audience: College/higher education , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Reviews for Graphs, Dioids and Semirings: New Models and Algorithms

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)