Graphs, Dioids and Semirings

New Models and Algorithms

By: Michel Gondran, Michel Minoux

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eText | 14 May 2008

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The primary objectives of GRAPHS, DIO??DS AND SEMIRING: New Models and Algorithms are to emphasize the deep relations existing between the semiring and dio??d 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., dio??ds), apart from the classical structures of groups, rings, and fields.