Graphs, dioids and semirings

the long version

"The primary objective of Graphs, Dioids and Semirings: New Models and Algorithms is to emphasize the deep relationship existing between the semiring and dioid 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., dioids), apart from the classical structures of groups, rings, and fields."--Jacket.