Titlebook: 50 Years of Integer Programming 1958-2008; From the Early Years Michael Jünger,Thomas M. Liebling,Laurence A. Wols Book 2010 Springer-Verla

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https://doi.org/10.1007/978-3-540-68279-0(mixed) integer linear programming; Partition; algorithms; combinatorial optimization; geometry; linear o

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978-3-662-50181-8Springer-Verlag Berlin Heidelberg 2010

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Mathematical Aspects of the Verlinde FormulaIt is a pleasure to write this commentary because it offers an opportunity to express my gratitude to several people who helped me in ways that turned out to be essential to the birth of [8]. They also had a good deal to do with shaping my early career and, consequently, much of what followed.

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Potential Flow and Slightly Viscous Flow,This survey presents tools from polyhedral theory that are used in integer programming. It applies them to the study of valid inequalities for mixed integer linear sets, such as Gomory’s mixed integer cuts.

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https://doi.org/10.1007/978-1-4684-0082-3This chapter surveys a selection of results from the interplay of integer programming and the geometry of numbers. Apart from being a survey, the text is also intended as an entry point into the field. I therefore added exercises at the end of each section to invite the reader to delve deeper into the presented material.