Publications associées à Clique (théorie des graphes)

Distributed Coloring of Graphs with an Optimal Number of Colors

This paper studies sufficient conditions to obtain efficient distributed algorithms coloring graphs optimally (i.e. with the minimum number of colors) in the LOCAL model of computation. Most of the work on distributed vertex coloring so far has focused on ...

SCHLOSS DAGSTUHL, LEIBNIZ CENTER INFORMATICS2019

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

Ramsey-Turan numbers for semi-algebraic graphs

János Pach

A semi-algebraic graph G = (V, E) is a graph where the vertices are points in R-d, and the edge set E is defined by a semi-algebraic relation of constant complexity on V. In this note, we establish the following Ramsey-Turan theorem: for every integer p >= ...

ELECTRONIC JOURNAL OF COMBINATORICS2018

On 2-Level Polytopes Arising In Combinatorial Settings

Yuri Faenza, Manuel Francesco Aprile, Alfonso Bolívar Cevallos Manzano

2-level polytopes naturally appear in several areas of pure and applied mathematics, including combinatorial optimization, polyhedral combinatorics, communication complexity, and statistics. In this paper, we present a study of some 2-level polytopes arisi ...

SIAM PUBLICATIONS2018

Cliques of Neurons Bound into Cavities Provide a Missing Link between Structure and Function

Henry Markram, Kathryn Hess Bellwald, Michael Reimann, Rodrigo de Campos Perin, Giuseppe Chindemi, Martina Scolamiero, Ran Levi, Max Christian Nolte, Katharine Felicity Turner, Pawel Tadeusz Dlotko

The lack of a formal link between neural network structure and its emergent function has hampered our understanding of how the brain processes information. We have now come closer to describing such a link by taking the direction of synaptic transmission i ...

Frontiers Media Sa2017

On the Difficulty of Selecting Ising Models with Approximate Recovery

Volkan Cevher, Jonathan Mark Scarlett

In this paper, we consider the problem of estimating the underlying graph associated with an Ising model given a number of independent and identically distributed samples. We adopt an approximate recovery criterion that allows for a number of missed edges ...

Ieee-Inst Electrical Electronics Engineers Inc2016

Coloring Relatives of Interval Overlap Graphs via On-line Games

Bartosz Maria Walczak

The main goal of this paper is to formalize and explore a connection between chromatic properties of graphs defined by geometric representations and competitivity analysis of on-line algorithms. This connection became apparent after the recent construction ...

Springer-Verlag Berlin2014

Triangle-free intersection graphs of line segments with large chromatic number

Bartosz Maria Walczak, Michal Lason

In the 1970s Erdos asked whether the chromatic number of intersection graphs of line segments in the plane is bounded by a function of their clique number. We show the answer is no. Specifically, for each positive integer k we construct a triangle-free fam ...

Academic Press Inc Elsevier Science2014

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Clique (théorie des graphes)

Distributed Coloring of Graphs with an Optimal Number of Colors

Untangling emergent cortical dynamics: neurons from networks, noise from chaos

Scalable analysis of linear networked systems via chordal decomposition

Testing Graph Clusterability: Algorithms and Lower Bounds

Ramsey-Turan numbers for semi-algebraic graphs

On 2-Level Polytopes Arising In Combinatorial Settings

Cliques of Neurons Bound into Cavities Provide a Missing Link between Structure and Function

On the Difficulty of Selecting Ising Models with Approximate Recovery

Coloring Relatives of Interval Overlap Graphs via On-line Games

Triangle-free intersection graphs of line segments with large chromatic number

Graph Chatbot

Chattez avec Graph Search

Triangle-free intersection graphs of line segments with large chromatic number

Testing Graph Clusterability: Algorithms and Lower Bounds

Untangling emergent cortical dynamics: neurons from networks, noise from chaos

On 2-Level Polytopes Arising In Combinatorial Settings

Cliques of Neurons Bound into Cavities Provide a Missing Link between Structure and Function

Coloring Relatives of Interval Overlap Graphs via On-line Games

Distributed Coloring of Graphs with an Optimal Number of Colors

Ramsey-Turan numbers for semi-algebraic graphs

On the Difficulty of Selecting Ising Models with Approximate Recovery

Scalable analysis of linear networked systems via chordal decomposition