Concept

Path (graph theory)

Related publications (175)

Arithmetic Bounds-Lenstra's Constant and Torsion of K-Groups

This thesis is concerned with computations of bounds for two different arithmetic invariants. In both cases it is done with the intention of proving some algebraic or arithmetic properties for number fields. The first part is devoted to computations of low ...

EPFL2010

Characterizing Path Graphs by Forbidden Induced Subgraphs

A path graph is the intersection graph of subpaths of a tree. In 1970, Renz asked for a characterization of path graphs by forbidden induced subgraphs. We answer this question by determining the complete list of graphs that are not path graphs and are mini ...

2009

Graph-Based Distributed Control for Non-holonomic Vehicles Engaged in a Reconfiguration Task using Local Positioning Information

Alcherio Martinoli, Sven Adrian Gowal, Riccardo Falconi

Formation building and keeping among vehicles has been studied for many years, since 1987 with Reynold's rules. This paper presents a control algorithm, based on recent work in graph theory, able to reconfigure static formations of non-holonomic vehicles e ...

2009

Temporally Consistent Layer Depth Ordering Via Pixel Voting For Pseudo 3D Representation

Engin Türetken

A new region-based depth ordering algorithm is proposed based on the segmented motion layers with affine motion models. Starting from an initial set of layers that are independently extracted for each frame of an input sequence, relative depth order of eve ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009

The Holt-Klee condition for oriented matroids

Holt and Klee have recently shown that every (generic) LP orientation of the graph of a d-polytope satisfies a directed version of the d-connectivity property, i.e. there are d internally disjoint directed paths from a unique source to a unique sink. We in ...

2009

Degree-constrained edge partitioning in graphs arising from discrete tomography

Dominique de Werra, Bernard Ries

Starting from the basic problem of reconstructing a 2-dimensional image given by its projections on two axes, one associates a model of edge coloring in a complete bipartite graph. The complexity of the case with k=3 colors is open. Variations and special ...

2009

Linear Compressive Networks

Michael Christoph Gastpar, Naveen Goela

A linear compressive network (LCN) is defined as a graph of sensors in which each encoding sensor compresses incoming jointly Gaussian random signals and transmits (potentially) low-dimensional linear projections to neighbors over a noisy uncoded channel. ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009

Self-Organized Anonymous Authentication in Mobile Ad Hoc Networks

Jean-Pierre Hubaux, Julien Freudiger, Maxime Raya

Pervasive communications bring along new privacy challenges, fueled by the capability of mobile devices to communicate with, and thus "sniff on", each other directly. We design a new mechanism that aims at achieving location privacy in these forthcoming mo ...

2009

Coloring Fuzzy Circular Interval Graphs

Friedrich Eisenbrand, Martin Niemeier

Computing the weighted coloring number of graphs is a classical topic in combinatorics and graph theory. Recently these problems have again attracted a lot of attention for the class of quasi-line graphs and more specifically fuzzy circular interval graphs ...

Elsevier2009

Interval propagation and search on directed acyclic graphs for numerical constraint solving

Xuan-Ha Vu

The fundamentals of interval analysis on directed acyclic graphs (DAGs) for global optimization and constraint propagation have recently been proposed in Schichl and Neumaier (J. Global Optim. 33, 541-562, 2005). For representing numerical problems, the au ...

Springer US2009

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