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Computing All Faces of the Minkowski Sum of V-Polytopes

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New Graph Algorithms via Polyhedral Techniques

Jakub Tarnawski

In this thesis we give new algorithms for two fundamental graph problems. We develop novel ways of using linear programming formulations, even exponential-sized ones, to extract structure from problem instances and to guide algorithms in making progress. S ...

EPFL2019

Tropical Ehrhart Theory and Tropical Volume

Matthias Schymura, Georg Peter Loho

We introduce a novel intrinsic volume concept in tropical geometry. This is achieved by developing the foundations of a tropical analog of lattice point counting in polytopes. We exhibit the basic properties and compare it to existing measures. Our exposit ...

2019

Combinatorial Algorithm for Restricted Max-Min Fair Allocation

Ola Nils Anders Svensson, Christos Kalaitzis, Chidambaram Annamalai

We study the basic allocation problem of assigning resources to players to maximize fairness. This is one of the few natural problems that enjoys the intriguing status of having a better estimation algorithm than approximation algorithm. Indeed, a certain ...

Association for Computing Machinery2017

Proactive Synthesis of Recursive Tree-to-String Functions from Examples

Viktor Kuncak, Mikaël Mayer, Jad Hamza

Synthesis from examples enables non-expert users to generate programs by specifying examples of their behavior. A domain-specific form of such synthesis has been recently deployed in a widely used spreadsheet software product. In this paper we contribute t ...

2017

Quasi-Polynomial Local Search for Restricted Max-Min Fair Allocation

Ola Nils Anders Svensson, Lukas Polacek

The restricted max-min fair allocation problem (also known as the restricted Santa Claus problem) is one of few problems that enjoys the intriguing status of having a better estimation algorithm than approximation algorithm. Indeed, Asadpour et al. [2012] ...

Assoc Computing Machinery2016

Pattern formation with voluminous processes

Alexandre David Olivier Maurer

When a shoal of small fishes notices a predator, they typically change their collective shape and form a specific pattern. They do so efficiently (in parallel) and without collision. This motivates us to design algorithms with similar properties. In this p ...

EPFL2016

Observations on the LPN Solving Algorithm from Eurocrypt'16

Serge Vaudenay, Sonia Mihaela Bogos

In this note we re-evaluate the Eurocrypt’16 paper by Zhang et al. [9] in the area of LPN solving algorithms. We present the history of LPN solving algorithms and give the general description of the algorithm from [9]. While this new algorithm claims to im ...

2016

Considerations for Rank-based Cryptosystems

Anna-Lena Horlemann, Joachim Rosenthal

Cryptosystems based on rank metric codes have been considered as an alternative to McEliece cryptosystems due to the relative difficulty of solving the rank syndrome decoding problem. Generic attacks have recently seen several improvements, notably in the ...

Ieee2016

Synthesizing efficient systems in probabilistic environments

Barbara Jobstmann, David Parker

We present a formalism, algorithms and tools to synthesise reactive systems that behave efficiently, i.e., which achieve an optimal trade-off between a given cost and reward model. Synthesis aims to automatically generate a program from a specification. Mo ...

Springer2016

The mixing time of the Dikin walk in a polytope-A simple proof

Nisheeth Vishnoi

We study the mixing time of the Dikin walk in a polytope a random walk based on the log-barrier from the interior point method literature. This walk, and a close variant, were studied by Narayanan (2016) and Kannan-Narayanan (2012). Bounds on its mixing ti ...

Elsevier Science Bv2016