Publications associées à Graphs That Admit Polyline Drawings with Few Crossing Angles

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Outerplanar graph drawings with few slopes

Bartosz Maria Walczak

We consider straight-line outerplanar drawings of outerplanar graphs in which a small number of distinct edge slopes are used, that is, the segments representing edges are parallel to a small number of directions. We prove that Delta - 1 edge slopes suffic ...

Elsevier Science Bv2014

Inference of Mobility Patterns via Spectral Graph Wavelets

Pascal Frossard, Pierre Vandergheynst, Xiaowen Dong

Modern data processing tasks frequently involve structured data, for example signals defined on the vertex set of a weighted graph. In this paper, we address the problem of inference of mobility patterns from data defined on geographical graphs based on sp ...

2013

Tangles and Degenerate Tangles

Andres Jacinto Ruiz Vargas

We study some variants of Conway’s thrackle conjecture. A tangle is a graph drawn in the plane such that its edges are represented by continuous arcs, and any two edges share precisely one point, which is either a common endpoint or an interior point at wh ...

Springer Berlin Heidelberg2013

The simplicity of planar networks

Emanuele Strano, Marc Barthélemy

Shortest paths are not always simple. In planar networks, they can be very different from those with the smallest number of turns - the simplest paths. The statistical comparison of the lengths of the shortest and simplest paths provides a non trivial and ...

Nature Publishing Group2013

Effect Analysis for Programs with Callbacks

Viktor Kuncak, Etienne Kneuss, Philippe Paul Henri Suter

We introduce a precise interprocedural effect analysis for programs with mutable state, dynamic object allocation, and dynamic dispatch. Our analysis is precise even in the presence of dynamic dispatch where the context-insensitive estimate on the number o ...

Springer Berlin Heidelberg2013

Lower bounds on the obstacle number of graphs

János Pach, Doemoetoer Palvoelgyi, Padmini Mukkamala

Given a graph G, an obstacle representation of G is a set of points in the plane representing the vertices of G, together with a set of connected obstacles such that two vertices of G are joined by an edge if and only if the corresponding points can be con ...

2012

Graph Transformations preserving the stability number

Dominique de Werra

We analyze 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 ...

Elsevier Science Bv2012

Learning of Structured Graph Dictionaries

Pascal Frossard, Xiaowen Dong, Xue Zhang

We propose a method for learning dictionaries towards sparse approximation of signals defined on vertices of arbitrary graphs. Dictionaries are expected to describe effectively the main spatial and spectral components of the signals of interest, so that th ...

2012

Graphs That Admit Polyline Drawings with Few Crossing Angles

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Outerplanar graph drawings with few slopes

THE NUMBER OF EDGES IN k-QUASI-PLANAR GRAPHS

Inference of Mobility Patterns via Spectral Graph Wavelets

Extensions of a result of Elekes and Rónyai

Tangles and Degenerate Tangles

The simplicity of planar networks

Effect Analysis for Programs with Callbacks

Lower bounds on the obstacle number of graphs

Graph Transformations preserving the stability number

Learning of Structured Graph Dictionaries

Learning of Structured Graph Dictionaries

THE NUMBER OF EDGES IN k-QUASI-PLANAR GRAPHS

The simplicity of planar networks

Graph Transformations preserving the stability number

Extensions of a result of Elekes and Rónyai

Tangles and Degenerate Tangles

Lower bounds on the obstacle number of graphs

Outerplanar graph drawings with few slopes

Inference of Mobility Patterns via Spectral Graph Wavelets

Effect Analysis for Programs with Callbacks