Publications related to Who Started This Rumor? Quantifying the Natural Differential Privacy of Gossip Protocols

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Disjoint edges in topological graphs and the tangled-thrackle conjecture

Andres Jacinto Ruiz Vargas

It is shown that fora constant t is an element of N, every simple topological graph on n vertices has 0(n) edges if the graph has no two sets of t edges such that every edge in one set is disjoint from all edges of the other set (i.e., the complement of th ...

Academic Press Ltd- Elsevier Science Ltd2016

The Erdos-Hajnal conjecture for rainbow triangles

János Pach

We prove that every 3-coloring of the edges of the complete graph on n vertices without a rainbow triangle contains a set of order ohm(n(1/3) log(2) n) which uses at most two colors, and this bound is tight up to a constant factor. This verifies a conjectu ...

Academic Press Inc Elsevier Science2015

Towards Tight Lower Bounds for Scheduling Problems

Ashkan Norouzi Fard, Abbas Bazzi

We show a close connection between structural hardness for k-partite graphs and tight inapproximability results for scheduling problems with precedence constraints. Assuming a natural but nontrivial generalisation of the bipartite structural hardness resul ...

Springer Int Publishing Ag2015

A Bayesian Method for Matching Two Similar Graphs without Seeds

Matthias Grossglauser, Pedram Pedarsani

Approximate graph matching (AGM) refers to the problem of mapping the vertices of two structurally similar graphs, which has applications in social networks, computer vision, chemistry, and biology. Given its computational cost, AGM has mostly been limited ...

2013

The Range of a Random Walk on a Comb

János Pach, Gábor Tardos

The graph obtained from the integer grid Z x Z by the removal of all horizontal edges that do not belong to the x-axis is called a comb. In a random walk on a graph, whenever a walker is at a vertex v, in the next step it will visit one of the neighbors of ...

Electronic Journal Of Combinatorics2013

Graph-Constrained Group Testing

Amin Karbasi, Mahdi Cheraghchi Bashi Astaneh, Soheil Mohajerzefreh

Non-adaptive group testing involves grouping arbitrary subsets of

n

items into different pools. Each pool is then tested and defective items are identified. A fundamental question involves minimizing the number of pools required to identify at most

d

d ...

2012

Learning of Structured Graph Dictionaries

Pascal Frossard, Xiaowen Dong, Xue Zhang

We propose a method for learning dictionaries towards sparse approximation of signals defined on vertices of arbitrary graphs. Dictionaries are expected to describe effectively the main spatial and spectral components of the signals of interest, so that th ...

2012

Beyond Graphs: A New Synthesis

Dario Floreano, Claudio Mattiussi, Daniel Marbach, Peter Dürr

Artiﬁcial neural networks, electronic circuits, and gene networks are some examples of systems that can be modeled as networks, that is, as collections of interconnected nodes. In this paper we introduce the concept of terminal graph (t-graph for short), w ...

2011

Graph-Constrained Group Testing

Amin Karbasi, Mahdi Cheraghchi Bashi Astaneh, Soheil Mohajerzefreh

Non-adaptive group testing involves grouping arbitrary subsets of

n

items into different pools. Each pool is then tested and defective items are identified. A fundamental question involves minimizing the number of pools required to identify at most

d

d ...

2012

Who Started This Rumor? Quantifying the Natural Differential Privacy of Gossip Protocols

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Disjoint edges in topological graphs and the tangled-thrackle conjecture

The Erdos-Hajnal conjecture for rainbow triangles

Towards Tight Lower Bounds for Scheduling Problems

A Bayesian Method for Matching Two Similar Graphs without Seeds

The Range of a Random Walk on a Comb

Graph-Constrained Group Testing

Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices

Learning of Structured Graph Dictionaries

Beyond Graphs: A New Synthesis

A complete graph effective medium approximation for lattice and continuum percolation

Disjoint edges in topological graphs and the tangled-thrackle conjecture

The Range of a Random Walk on a Comb

Towards Tight Lower Bounds for Scheduling Problems

Graph-Constrained Group Testing

Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices

The Erdos-Hajnal conjecture for rainbow triangles

Learning of Structured Graph Dictionaries

A Bayesian Method for Matching Two Similar Graphs without Seeds

A complete graph effective medium approximation for lattice and continuum percolation

Beyond Graphs: A New Synthesis