Publications related to Faster Shortest-Path Algorithms for Planar Graphs

On chirality of toroidal embeddings of polyhedral graphs

We investigate properties of spatial graphs on the standard torus. It is known that nontrivial embeddings of planar graphs in the torus contain a nontrivial knot or a non-split link due to [2, 3]. Building on this and using the chirality of torus knots and ...

World Scientific Publishing2017

An Efficient Streaming Algorithm for the Submodular Cover Problem

Volkan Cevher, Ilija Bogunovic, Ya-Ping Hsieh, Ashkan Norouzi Fard, Abbas Bazzi, Marwa El Halabi

We initiate the study of the classical Submodular Cover (SC) problem in the data streaming model which we refer to as the Streaming Submodular Cover (SSC). We show that any single pass streaming algorithm using sublinear memory in the size of the stream wi ...

2016

Partial Recovery Bounds for the Sparse Stochastic Block Model

Volkan Cevher, Jonathan Mark Scarlett

In this paper, we study the information-theoretic limits of community detection in the symmetric two-community stochastic block model, with intra-community and inter-community edge probabilities

\frac{a}{n}

and

\frac{b}{n}

respectively. We consider the ...

Ieee2016

Tracking Interacting Objects Using Intertwined Flows

Pascal Fua, François Fleuret, Engin Türetken, Xinchao Wang

In this paper, we show that tracking different kinds of interacting objects can be formulated as a network-flow Mixed Integer Program. This is made possible by tracking all objects simultaneously using intertwined flow variables and expressing the fact tha ...

Institute of Electrical and Electronics Engineers2016

A Fast Hadamard Transform for Signals with Sub-linear Sparsity in the Transform Domain

Martin Vetterli, Robin Scheibler, Saeid Haghighatshoar

In this paper, we design a new iterative low-complexity algorithm for computing the Walsh-Hadamard transform (WHT) of an N dimensional signal with a K-sparse WHT. We suppose that N is a power of two and K = O(N^α), scales sub-linearly in N for some α ∈ (0, ...

Institute of Electrical and Electronics Engineers2015

Node-weighted network design and maximum sub-determinants

Carsten Moldenhauer

We consider the Node-weighted Steiner Forest problem on planar graphs. Demaine et al. showed that a generic primal-dual algorithm gives a 6-approximation. We present two different proofs of an approximation factor of~

3

. Then, we draw a connection to Goem ...

EPFL2014

Exponentiality of the exchange algorithm for finding another room-partitioning

Laura Sanità

Let T be a triangulated surface given by the list of vertex-triples of its triangles, called rooms. A room-partitioning for T is a subset R of the rooms such that each vertex of T is in exactly one room in R. Given a room-partitioning R for T, the exchange ...

Elsevier Science Bv2014

Association Generation in Synthetic Population for Transportation Applications: Graph-Theoretic Solution

Michel Bierlaire, Bilal Farooq, Dimitrios Efthymiou, Paul Richard Anderson

The generation of synthetic populations through simulation methods is an important research topic and has a key application in agent-based modeling of transport and land use. The next step in this research area is the generation of complete synthetic house ...

Natl Acad Sciences2014

Outerplanar graph drawings with few slopes

Bartosz Maria Walczak

We consider straight-line outerplanar drawings of outerplanar graphs in which a small number of distinct edge slopes are used, that is, the segments representing edges are parallel to a small number of directions. We prove that Delta - 1 edge slopes suffic ...

Elsevier Science Bv2014

Navigating Central Path with Electrical Flows: from Flows to Matchings, and Back

Aleksander Madry

We present an O(m^10/7) = O(m^1.43)-time algorithm for the maximum s-t flow and the minimum s-t cut problems in directed graphs with unit capacities. This is the first improvement over the sparse-graph case of the long-standing O(m min{m^1/2, n^2/3}) runni ...

IEEE2013

Faster Shortest-Path Algorithms for Planar Graphs

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On chirality of toroidal embeddings of polyhedral graphs

An Efficient Streaming Algorithm for the Submodular Cover Problem

Partial Recovery Bounds for the Sparse Stochastic Block Model

Tracking Interacting Objects Using Intertwined Flows

A Fast Hadamard Transform for Signals with Sub-linear Sparsity in the Transform Domain

Node-weighted network design and maximum sub-determinants

Exponentiality of the exchange algorithm for finding another room-partitioning

Association Generation in Synthetic Population for Transportation Applications: Graph-Theoretic Solution

Outerplanar graph drawings with few slopes

Navigating Central Path with Electrical Flows: from Flows to Matchings, and Back

Node-weighted network design and maximum sub-determinants

A Fast Hadamard Transform for Signals with Sub-linear Sparsity in the Transform Domain

Outerplanar graph drawings with few slopes

On chirality of toroidal embeddings of polyhedral graphs

An Efficient Streaming Algorithm for the Submodular Cover Problem

Partial Recovery Bounds for the Sparse Stochastic Block Model

Tracking Interacting Objects Using Intertwined Flows

Navigating Central Path with Electrical Flows: from Flows to Matchings, and Back

Exponentiality of the exchange algorithm for finding another room-partitioning

Association Generation in Synthetic Population for Transportation Applications: Graph-Theoretic Solution