Publications related to On approximation algorithms and polyhedral relaxations for knapsack problems, and clustered planarity testing

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Many disjoint edges in topological graphs

Andres Jacinto Ruiz Vargas

A monotone cylindrical graph is a topological graph drawn on an open cylinder with an infinite vertical axis satisfying the condition that every vertical line intersects every edge at most once. It is called simple if any pair of its edges have at most one ...

Elsevier Science Bv2017

Independence number of generalized Petersen graphs

Javad Ebrahimi Boroojeni

Determining the size of a maximum independent set of a graph G, denoted by alpha(G), is an NP-hard problem. Therefore many attempts are made to find upper and lower bounds, or exact values of alpha(G) for special classes of graphs. This paper is aimed towa ...

Charles Babbage Res Ctr2016

Group-Sparse Model Selection: Hardness and Relaxations

Volkan Cevher, Anastasios Kyrillidis, Luca Baldassarre, Nirav Bhan

Group-based sparsity models are proven instrumental in linear regression problems for recovering signals from much fewer measurements than standard compressive sensing. The main promise of these models is the recovery of ``interpretable" signals along with ...

Institute of Electrical and Electronics Engineers2016

Removing and Adding Edges for the Traveling Salesman Problem

Ola Nils Anders Svensson

We present a framework for approximating the metric TSP based on a novel use of matchings. Traditionally, matchings have been used to add edges to make a given graph Eulerian, whereas our approach also allows for the removal of certain edges leading to a d ...

Assoc Computing Machinery2016

Decomposition of Multiple Packings with Subquadratic Union Complexity

János Pach, Bartosz Maria Walczak

Suppose k is a positive integer and X is a k-fold packing of the plane by infinitely many arc-connected compact sets, which means that every point of the plane belongs to at most k sets. Suppose there is a function f(n) = o(n(2)) with the property that any ...

Cambridge Univ Press2016

Clustered planarity testing revisited

Radoslav Fulek, Jan Kyncl, Igor Malinovic

The Hanani--Tutte theorem is a classical result proved for the first time in the 1930s that characterizes planar graphs as graphs that admit a drawing in the plane in which every pair of edges not sharing a vertex cross an even number of times. We generali ...

2015

Non-Rigid Graph Registration using Active Testing Search

Pascal Fua, Raphael Sznitman, Jan Kybic, Miguel Amável Dos Santos Pinheiro

We present a new approach for matching sets of branching curvilinear structures that form graphs embedded in R2 or R3 and may be subject to deformations. Unlike earlier methods, ours does not rely on local appearance similarity nor does require a good init ...

Institute of Electrical and Electronics Engineers2015

Strong LP formulations for scheduling splittable jobs on unrelated machines

Ola Nils Anders Svensson

A natural extension of the makespan minimization problem on unrelated machines is to allow jobs to be partially processed by different machines while incurring an arbitrary setup time. In this paper we present increasingly stronger LP-relaxations for this ...

Springer Heidelberg2015

On the configuration LP for maximum budgeted allocation

Ola Nils Anders Svensson, Christos Kalaitzis, Lukas Polacek, Aleksander Madry

We study the maximum budgeted allocation problem, i.e., the problem of selling a set of m indivisible goods to n players, each with a separate budget, such that we maximize the collected revenue. Since the natural assignment LP is known to have an integral ...

Springer Heidelberg2015

On approximation algorithms and polyhedral relaxations for knapsack problems, and clustered planarity testing

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Many disjoint edges in topological graphs

Independence number of generalized Petersen graphs

Group-Sparse Model Selection: Hardness and Relaxations

Removing and Adding Edges for the Traveling Salesman Problem

Decomposition of Multiple Packings with Subquadratic Union Complexity

Clustered planarity testing revisited

Anchor View Allocation for Collaborative Free Viewpoint Video Streaming

Non-Rigid Graph Registration using Active Testing Search

Strong LP formulations for scheduling splittable jobs on unrelated machines

On the configuration LP for maximum budgeted allocation

Many disjoint edges in topological graphs

Independence number of generalized Petersen graphs

Anchor View Allocation for Collaborative Free Viewpoint Video Streaming

On the configuration LP for maximum budgeted allocation

Group-Sparse Model Selection: Hardness and Relaxations

Removing and Adding Edges for the Traveling Salesman Problem

Non-Rigid Graph Registration using Active Testing Search

Strong LP formulations for scheduling splittable jobs on unrelated machines

Clustered planarity testing revisited

Decomposition of Multiple Packings with Subquadratic Union Complexity