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Recursive Non-Autoregressive Graph-to-Graph Transformer for Dependency Parsing with Iterative Refinement

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Degenerate crossing numbers

János Pach

Let G be a graph with n vertices and ea parts per thousand yen4n edges, drawn in the plane in such a way that if two or more edges (arcs) share an interior point p, then they properly cross one another at p. It is shown that the number of crossing points, ...

Springer-Verlag2009

Polar cographs

Dominique de Werra, Tinaz Ekim

Polar graphs are a natural extension of some classes of graphs like bipartite graphs, split graphs and complements of bipartite graphs. A graph is (s, k)-polar if there exists a partition A, B of its vertex set such that A induces a complete s-partite grap ...

Elsevier2008

Variations of coloring problems related to scheduling and discrete tomography

Bernard Ries

The graph coloring problem is one of the most famous problems in graph theory and has a large range of applications. It consists in coloring the vertices of an undirected graph with a given number of colors such that two adjacent vertices get different col ...

EPFL2007

Robust Routing for Dynamic Wireless Networks Based on Stable Embeddings

Matthias Grossglauser, Suhas Diggavi, Dominique Florian Tschopp, Jörg Widmer

Routing packets is a central function of multi-hop wireless networks. Traditionally, there have been two paradigms for routing, either based on the geographical coordinates of the nodes (geographic routing), or based on the connectivity graph (topology-bas ...

2007

Model Driven Analysis and Synthesis of Concrete Syntax

Frédéric Fondement

Metamodeling is raising more and more interest in the field of language engineering. While this approach is now well understood for defining abstract syntaxes, formally defining concrete syntaxes with metamodels is still a challenge. Concrete syntaxes are ...

2006

Polar cographs

Dominique de Werra, Tinaz Ekim

Polar graphs are a natural extension of some classes of graphs like bipartite graphs, split graphs and complements of bipartite graphs. A graph is (s,k)-polar if there exists a partition A,B of its vertex set such that A induces a complete s-partite graph ...

2005

Partitioning cographs into cliques and stable sets

Dominique de Werra, Tinaz Ekim

We consider the problem of partitioning the node set of a graph into p cliques and k stable sets, namely the (p,k)-coloring problem. Results have been obtained for general graphs \cite{hellcomp}, chordal graphs \cite{hellchordal} and cacti for the case whe ...

2005

The Wall Street Journal experiment (and useful programs)

Antoine Rozenknop

This document gives information on parsing experiments applied to the standard Wall Street Journal corpus (``Standard'' means that this corpus has been widely used for exhibiting parsing tests of various models). The tested syntactic models are : standard ...

2004

Two approaches to Robust Stochastic Parsing

Marita Ailomaa

NLP applications in all domains require more than a formal grammar to process the input in a practical way, because natural language contains phenomena that a formal grammar is usually not able to describe. Such phenomena are typically disfluencies and ext ...

2004

An Introduction to Bayesian Network Theory and Usage

I present an introduction to some of the concepts within Bayesian networks to help a beginner become familiar with this field's theory. Bayesian networks are a combination of two different mathematical areas: graph theory and probability theory. So, I firs ...

IDIAP2000