Journal ArticleDOI
On graphs and rigidity of plane skeletal structures
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TLDR
In this paper, the combinatorial properties of rigid plane skeletal structures are investigated, and the properties are found to be adequately described by a class of graph-structured graphs.Abstract:
In this paper the combinatorial properties of rigid plane skeletal structures are investigated. Those properties are found to be adequately described by a class of graphs.read more
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Journal ArticleDOI
An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination
TL;DR: In this article, the authors reviewed some main results and progress in distributed multi-agent coordination, focusing on papers published in major control systems and robotics journals since 2006 and proposed several promising research directions along with some open problems that are deemed important for further investigations.
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An Overview of Recent Progress in the Study of Distributed Multi-agent Coordination
TL;DR: In this paper, the authors reviewed some main results and progress in distributed multi-agent coordination, focusing on papers published in major control systems and robotics journals since 2006, and proposed several promising research directions along with some open problems that are deemed important for further investigations.
Proceedings ArticleDOI
Robust distributed network localization with noisy range measurements
TL;DR: A distributed, linear-time algorithm for localizing sensor network nodes in the presence of range measurement noise is described and the probabilistic notion of robust quadrilaterals is introduced as a way to avoid flip ambiguities that otherwise corrupt localization computations.
Journal ArticleDOI
Protein flexibility predictions using graph theory
TL;DR: This novel computational procedure is approximately a million times faster than molecular dynamics simulations and captures the essential conformational flexibility of the protein main and side‐chains from analysis of a single, static three‐dimensional structure.
Journal ArticleDOI
A Theory of Network Localization
James Aspnes,Tolga Eren,David K. Goldenberg,A.S. Morse,Walter Whiteley,Yang Yang,Brian D. O. Anderson,Peter N. Belhumeur +7 more
TL;DR: This paper constructs grounded graphs to model network localization and applies graph rigidity theory to test the conditions for unique localizability and to construct uniquely localizable networks, and further study the computational complexity of network localization.