Publications related to Polar cographs

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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

Finding Perfect Matchings in Bipartite Hypergraphs

Chidambaram Annamalai

Haxell's condition [14] is a natural hypergraph analog of Hall's condition, which is a well-known necessary and sufficient condition for a bipartite graph to admit a perfect matching. That is, when Haxell's condition holds it forces the existence of a perf ...

SPRINGER HEIDELBERG2018

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

Letter Graphs and Geometric Grid Classes of Permutations: Characterization and Recognition

Dominique de Werra

In this paper, we reveal an intriguing relationship between two seemingly unrelated notions: letter graphs and geometric grid classes of permutations. We also present the first constructive polynomial-time algorithm for the recognition of 3-letter graphs. ...

SPRINGER INTERNATIONAL PUBLISHING AG2018

On Simplices in Diameter Graphs in R-4

Andrei Kupavskii

A graph G is a diameter graph in R-d if its vertex set is a finite subset in R-d of diameter 1 and edges join pairs of vertices a unit distance apart. It is shown that if a diameter graph G in R-4 contains the complete subgraph K on five vertices, then any ...

Maik Nauka/Interperiodica/Springer2017

Geometric Graph Matching Using Monte Carlo Tree Search

Pascal Fua, Jan Kybic, Miguel Amável Dos Santos Pinheiro

We present an efficient matching method for generalized geometric graphs. Such graphs consist of vertices in space connected by curves and can represent many real world structures such as road networks in remote sensing, or vessel networks in medical imagi ...

Ieee Computer Soc2017

Polar cographs

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Counting and Sampling from Markov Equivalent DAGs Using Clique Trees

Finding Perfect Matchings in Bipartite Hypergraphs

Spectrally approximating large graphs with smaller graphs

The Sketching Complexity of Graph and Hypergraph Counting

Rate Distortion Optimized Graph Partitioning for Omnidirectional Image Coding

Scalable analysis of linear networked systems via chordal decomposition

Letter Graphs and Geometric Grid Classes of Permutations: Characterization and Recognition

On Simplices in Diameter Graphs in R-4

The weighted stable matching problem

Geometric Graph Matching Using Monte Carlo Tree Search

Counting and Sampling from Markov Equivalent DAGs Using Clique Trees

Rate Distortion Optimized Graph Partitioning for Omnidirectional Image Coding

On Simplices in Diameter Graphs in R-4

Scalable analysis of linear networked systems via chordal decomposition

The weighted stable matching problem

Finding Perfect Matchings in Bipartite Hypergraphs

Spectrally approximating large graphs with smaller graphs

The Sketching Complexity of Graph and Hypergraph Counting

Letter Graphs and Geometric Grid Classes of Permutations: Characterization and Recognition

Geometric Graph Matching Using Monte Carlo Tree Search