Publications related to Partitioning cographs into cliques and stable sets

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On the Rainbow Turan number of paths

Abhishek Methuku

Let F be a fixed graph. The rainbow Turan number of F is defined as the maximum number of edges in a graph on n vertices that has a proper edge-coloring with no rainbow copy of F (i.e., a copy of F all of whose edges have different colours). The systematic ...

ELECTRONIC JOURNAL OF COMBINATORICS2019

Stability results for vertex Turatn problems in Kneser graphs

Abhishek Methuku

The vertex set of the Kneser graph K(n, k) is V = (([n])(k)) and two vertices are adjacent if the corresponding sets are disjoint. For any graph F, the largest size of a vertex set U subset of V such that K(n, k)[U] is F-free, was recently determined by Al ...

ELECTRONIC JOURNAL OF COMBINATORICS2019

Counting and Sampling from Markov Equivalent DAGs Using Clique Trees

Negar Kiyavash, Saber Salehkaleybar, Kun Zhang

A directed acyclic graph (DAG) is the most common graphical model for representing causal relationships among a set of variables. When restricted to using only observational data, the structure of the ground truth DAG is identifiable only up to Markov equi ...

AAAI Press2019

Subadditivity Beyond Trees and the Chi-Squared Mutual Information

Emmanuel Abbé, Enric Boix Adsera

Evans et al. [1] proved the subadditivity of the mutual information in the broadcasting on tree model with binary vertex labels and symmetric edge channels. They raised the question of whether such subadditivity extends to loopy graphs in some appropriate ...

IEEE2019

Testing Graph Clusterability: Algorithms and Lower Bounds

Mikhail Kapralov, Aidasadat Mousavifar, Ashish Hari Chiplunkar

We consider the problem of testing graph cluster structure: given access to a graph G = (V, E), can we quickly determine whether the graph can be partitioned into a few clusters with good inner conductance, or is far from any such graph? This is a generali ...

IEEE COMPUTER SOC2018

Spectrally approximating large graphs with smaller graphs

Pierre Vandergheynst, Andreas Loukas

How does coarsening affect the spectrum of a general graph? We provide conditions such that the principal eigenvalues and eigenspaces of a coarsened and original graph Laplacian matrices are close. The achieved approximation is shown to depend on standard ...

2018

The Sketching Complexity of Graph and Hypergraph Counting

Mikhail Kapralov, John Michael Goddard Kallaugher

Subgraph counting is a fundamental primitive in graph processing, with applications in social network analysis (e.g., estimating the clustering coefficient of a graph), database processing and other areas. The space complexity of subgraph counting has been ...

IEEE COMPUTER SOC2018

Rate Distortion Optimized Graph Partitioning for Omnidirectional Image Coding

Pascal Frossard, Francesca De Simone, Thomas Maugey, Mira Rizkallah

Omnidirectional images are spherical signals captured by cameras with 360-degree field of view. In order to be compressed using existing encoders, these signals are mapped to planar domain. A commonly used planar representation is the equirectangular one, ...

IEEE COMPUTER SOC2018

Partitioning cographs into cliques and stable sets

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On the Rainbow Turan number of paths

Stability results for vertex Turatn problems in Kneser graphs

On the Turan number of ordered forests

Counting and Sampling from Markov Equivalent DAGs Using Clique Trees

Subadditivity Beyond Trees and the Chi-Squared Mutual Information

Tight Bounds for Online Edge Coloring

Testing Graph Clusterability: Algorithms and Lower Bounds

Spectrally approximating large graphs with smaller graphs

The Sketching Complexity of Graph and Hypergraph Counting

Rate Distortion Optimized Graph Partitioning for Omnidirectional Image Coding

Testing Graph Clusterability: Algorithms and Lower Bounds

Spectrally approximating large graphs with smaller graphs

The Sketching Complexity of Graph and Hypergraph Counting

Tight Bounds for Online Edge Coloring

On the Rainbow Turan number of paths

Subadditivity Beyond Trees and the Chi-Squared Mutual Information

Stability results for vertex Turatn problems in Kneser graphs

On the Turan number of ordered forests

Rate Distortion Optimized Graph Partitioning for Omnidirectional Image Coding

Counting and Sampling from Markov Equivalent DAGs Using Clique Trees