Universidad, 30, Leganes — Madrid. A great deal of of interesting work was done in the s in generalizing shortest path algorithms to a wide class of semirings also called "path algebras" or "dioids".
Graphs, Dioids and Semirings: New Models and Algorithms | Mathematical Association of America
Although the evolution of Internet Routing protocols does not seem to have taken much inspiration from this work, recent "reverse engineering" efforts have demonstrated that an algebraic approach is very useful for both understanding existing protocols and for exploring the design space of future Internet routing protocols. This course is intended teach participants the basic concepts needed to understand this approach. No previous background will be assumed.
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The course will start from scratch and end with open research problems. Many examples inspired by Internet Routing will be presented along the way. The Metarouting Toolkit,currently being developed at Cambridge, will be introduced.
This tool allows users to generate a routing protocols implementation in C code from a declarative, high-level specification based on the algebraic models presented in this course. What is right and wrong with Internet Routing? An overview of algebraic routing 3.
Semigroups and orders 4. Semirings 5. Solving Path Problems in Graphs with semirings 6.
What is the difference between routing and forwarding tables? Modeling BGP-like routing 9. Pre-Semirings, Semirings and Dioids. In Stock.
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