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Equivariant Neural Architectures for Representing and Generating Graphs

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A Magnetic Procedure for the Stability Number

Dominique de Werra

A magnet is a pair u, v of adjacent vertices such that the proper neighbours of u are completely linked to the proper neighbours of v. It has been shown that one can reduce the graph by removing the two vertices u, v of a magnet and introducing a new verte ...

2009

Graph transformations preserving the stability number

Dominique de Werra

We analyse the relations between several graph transformations that were introduced to be used in procedures determining the stability number of a graph. We show that all these transformations can be decomposed into a sequence of edge deletions and twin de ...

2009

ClusterRank: A Graph Based Method for Meeting Summarization

Nikhil Garg

This paper presents an unsupervised, graph based approach for extractive summarization of meetings. Graph based methods such as TextRank have been used for sentence extraction from news articles. These methods model text as a graph with sentences as nodes ...

Idiap2009

ClusterRank: A Graph Based Method for Meeting Summarization

Nikhil Garg

Isca-Inst Speech Communication Assoc, C/O Emmanuelle Foxonet, 4 Rue Des Fauvettes, Lieu Dit Lous Tourils, Baixas, F-66390, France2009

Feedback topology and XOR-dynamics in Boolean networks with varying input structure

Carlo Maffi

We analyze a model of fixed in-degree random Boolean networks in which the fraction of input-receiving nodes is controlled by the parameter gamma. We investigate analytically and numerically the dynamics of graphs under a parallel XOR updating scheme. This ...

2009

Delaunay Graphs of Point Sets in the Plane With Respect to Axis-Parallel Rectangles

János Pach, Gábor Tardos

Given a point set P in the plane, the Delaunay graph with respect to axis-parallel rectangles is a graph defined on the vertex set P, whose two points p, q is an element of P are connected by an edge if and only if there is a rectangle parallel to the coor ...

Wiley-Blackwell2009

Mixed graph edge coloring

Bernard Ries

We are interested in coloring the edges of a mixed graph. i.e., a graph containing unoriented and oriented edges. This problem is related to a communication problem in job-shop scheduling systems. In this paper we give general bounds oil the number of requ ...

Elsevier2009

A separator theorem for string graphs and its applications

János Pach

A string graph is the intersection graph of a collection of continuous arcs in the plane. We show that any string graph with in edges can be separated into two parts of roughly equal size by the removal of O(m(3/4)root log m) vertices. This result is then ...

Springer2009

Modeling synchronous systems in BIP

Joseph Sifakis

We present a general approach for modeling synchronous component-based systems. These are systems of synchronous components strongly synchronized by a common action that initiates steps of each component. We propose a general model for synchronous systems. ...

2009

Optical Flow and Depth from Motion for Omnidirectional Images using a TV-L1 Variational Framework on Graphs

Pascal Frossard, Pierre Vandergheynst, Luigi Bagnato

This paper deals with the problem of efficiently computing the optical flow of image sequences acquired by omnidirectional (nearly full field of view) cameras. We formulate the problem in the natural spherical geometry associated with these devices and ext ...

2009