Publications related to Graph coloring

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Employing Attack Graphs for Intrusion Detection

Mathias Josef Payer

Intrusion detection systems are a commonly deployed defense that examines network traffic, host operations, or both to detect attacks. However, more attacks bypass IDS defenses each year, and with the sophistication of attacks increasing as well, we must e ...

ASSOC COMPUTING MACHINERY2019

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

Thrackles: An improved upper bound

János Pach, Radoslav Fulek

A thrackle is a graph drawn in the plane so that every pair of its edges meet exactly once: either at a common end vertex or in a proper crossing. We prove that any thrackle of n vertices has at most 1.3984n edges. Quasi-thrackles are defined similarly, ex ...

ELSEVIER SCIENCE BV2019

Optimized Quantization in Distributed Graph Signal Filtering

Pascal Frossard, Isabela Cunha Maia Nobre

Distributed graph signal processing algorithms require the network nodes to communicate by exchanging messages in order to achieve a common objective. These messages have a finite precision in realistic networks, which may necessitate to implement message ...

2019

Modelling the Syntax of North Indian Melodies with a Generalized Graph Grammar

Martin Alois Rohrmeier, Christoph Finkensiep

Hierarchical models of music allow explanation of highly complex musical structure based on the general principle of recursive elaboration and a small set of orthogonal operations. Recent approaches to melodic elaboration have converged to a representation ...

ISMIR2019

Extrapolating Paths with Graph Neural Networks

Andreas Loukas, Jean-Baptiste Francis Marie Juliette Cordonnier

We consider the problem of path inference: given a path prefix, i.e., a partially observed sequence of nodes in a graph, we want to predict which nodes are in the missing suffix. In particular, we focus on natural paths occurring as a by-product of the int ...

IJCAI, Inc.2019

Anomaly detection in the dynamics of web and social networks

Pierre Vandergheynst, Kirell Maël Benzi, Volodymyr Miz, Benjamin Ricaud

In this work, we propose a new, fast and scalable method for anomaly detection in large time-evolving graphs. It may be a static graph with dynamic node attributes (e.g. time-series), or a graph evolving in time, such as a temporal network. We define an an ...

2019

Time-resolved analysis of dynamic graphs: an extended Slepian design

Dimitri Nestor Alice Van De Ville, Raphaël Pierre Liégeois, Ibrahim Merad

Graphs are extensively used to represent networked data. In many applications, especially when considering large datasets, it is a desirable feature to focus the analysis onto specific subgraphs of interest. Slepian theory and its extension to graphs allow ...

SPIE-INT SOC OPTICAL ENGINEERING2019

Edge Ordered Turan Problems

Gábor Tardos, Abhishek Methuku

We introduce the Turan problem for edge ordered graphs. We call a simple graph edge ordered, if its edges are linearly ordered. An isomorphism between edge ordered graphs must respect the edge order. A subgraph of an edge ordered graph is itself an edge or ...

COMENIUS UNIV2019

Graph coloring

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Chat with Graph Search

Employing Attack Graphs for Intrusion Detection

On the Rainbow Turan number of paths

Thrackles: An improved upper bound

New Graph Algorithms via Polyhedral Techniques

Optimized Quantization in Distributed Graph Signal Filtering

Modelling the Syntax of North Indian Melodies with a Generalized Graph Grammar

Extrapolating Paths with Graph Neural Networks

Anomaly detection in the dynamics of web and social networks

Time-resolved analysis of dynamic graphs: an extended Slepian design

Edge Ordered Turan Problems

On the Rainbow Turan number of paths

Optimized Quantization in Distributed Graph Signal Filtering

Extrapolating Paths with Graph Neural Networks

Modelling the Syntax of North Indian Melodies with a Generalized Graph Grammar

Anomaly detection in the dynamics of web and social networks

Time-resolved analysis of dynamic graphs: an extended Slepian design

Edge Ordered Turan Problems

New Graph Algorithms via Polyhedral Techniques

Employing Attack Graphs for Intrusion Detection

Thrackles: An improved upper bound