Publications related to Arc length

Coloring Intersection Graphs of Arc-Connected Sets in the Plane

A family of sets in the plane is simple if the intersection of any subfamily is arc-connected, and it is pierced by a line L if the intersection of any member with L is a nonempty segment. It is proved that the intersection graphs of simple families of com ...

Springer2014

The Evolution and Complexity of Urban Street Networks

Nahid Mohajeri Pour Rayeni

Street networks are one of the very few types of complex networks where the history of the network can be traced over long periods of time. Here we introduce methods for quantifying the geometric characteristics of street networks and analyze the details o ...

Wiley-Blackwell2014

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 Visible Perimeter of an Arrangement of Disks

János Pach, Gábor Tardos, Gabriel Nivasch

Given a collection of n opaque unit disks in the plane, we want to find a stacking order for them that maximizes their visible perimeter, the total length of all pieces of their boundaries visible from above. We prove that if the centers of the disks form ...

Springer2013

Light filter and method for using such filter

Demetri Psaltis, Andreas Vasdekis, Julien Cuennet

The invention concerns a light filter comprising a plate defined by a length along a direction x, a width along a direction y and a height along a direction z said plate including at least one chamber containing Liquid Crystals (LC) molecules and which is ...

2012

Quantitative Analysis of Consensus Algorithms

André Schiper, Martin Hutle, Fatemeh Borran, Nuno Filipe de Sousa Santos

Consensus is one of the key problems in fault-tolerant distributed computing. Although the solvability of consensus is now a well-understood problem, comparing different algorithms in terms of efficiency is still an open problem. In this paper, we address ...

2012

Uniform broadband excitation of crystallites in rotating solids using interleaved sequences of delays alternating with nutation

Geoffrey Bodenhausen, Simone Ulzega, Marc Anthony Caporini

In solids that are spinning about the magic angle, trains of short pulses in the manner of Delays Alternating with Nutations for Tailored Excitation (DANTE) allow one to improve the efficiency of the excitation of magnetization compared to rectangular puls ...

Elsevier2012

Phase extraction in speckle interferometry by a circle fitting procedure in the complex plane

Pierre Jacquot, Sébastien Equis

In speckle interferometry (SI), temporal signals are amplitude- and frequency-modulated signals and exhibit a fluctuating background. Prior to phase computation, this background intensity must be eliminated. Here our approach is to build a complex signal f ...

Optical Society of America2011

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Arc length

Closed-circuit domain quadruplets in BaTiO3 nanorods embedded in a SrTiO3 film

Coloring Intersection Graphs of Arc-Connected Sets in the Plane

The Evolution and Complexity of Urban Street Networks

Tangles and Degenerate Tangles

The Visible Perimeter of an Arrangement of Disks

Exciton properties of selected aromatic hydrocarbon systems

Light filter and method for using such filter

Quantitative Analysis of Consensus Algorithms

Uniform broadband excitation of crystallites in rotating solids using interleaved sequences of delays alternating with nutation

Phase extraction in speckle interferometry by a circle fitting procedure in the complex plane

Graph Chatbot

Chat with Graph Search

Coloring Intersection Graphs of Arc-Connected Sets in the Plane

Uniform broadband excitation of crystallites in rotating solids using interleaved sequences of delays alternating with nutation

Phase extraction in speckle interferometry by a circle fitting procedure in the complex plane

Closed-circuit domain quadruplets in BaTiO3 nanorods embedded in a SrTiO3 film

Light filter and method for using such filter

Exciton properties of selected aromatic hydrocarbon systems

Quantitative Analysis of Consensus Algorithms

The Visible Perimeter of an Arrangement of Disks